• Aucun résultat trouvé

Downstream Competition, Foreclosure, and Vertical Integration

N/A
N/A
Protected

Academic year: 2021

Partager "Downstream Competition, Foreclosure, and Vertical Integration"

Copied!
34
0
0

Texte intégral

(1)

DISCUSSION PAPER SERIES

ZZZFHSURUJ

No. 2647 DOWNSTREAM COMPETITION, FORECLOSURE AND VERTICAL INTEGRATION Gilles Chemla INDUSTRIAL ORGANIZATION

(2)

ISSN 0265-8003

DOWNSTREAM COMPETITION,

FORECLOSURE AND

VERTICAL INTEGRATION

Gilles Chemla, University of British Columbia,

THEMA, and CEPR

Discussion Paper No. 2647 December 2000

Centre for Economic Policy Research 90–98 Goswell Rd, London EC1V 7RR, UK Tel: (44 20) 7878 2900, Fax: (44 20) 7878 2999

Email: cepr@cepr.org, Website: www.cepr.org

This Discussion Paper is issued under the auspices of the Centre’s research programme in Industrial Organization. Any opinions expressed here are those of the author(s) and not those of the Centre for Economic Policy Research. Research disseminated by CEPR may include views on policy, but the Centre itself takes no institutional policy positions.

The Centre for Economic Policy Research was established in 1983 as a private educational charity, to promote independent analysis and public discussion of open economies and the relations among them. It is pluralist and non-partisan, bringing economic research to bear on the analysis of medium- and long-run policy questions. Institutional (core) finance for the Centre has been provided through major grants from the Economic and Social Research Council, under which an ESRC Resource Centre operates within CEPR; the Esmée Fairbairn Charitable Trust; and the Bank of England. These organizations do not give prior review to the Centre’s publications, nor do they necessarily endorse the views expressed therein.

These Discussion Papers often represent preliminary or incomplete work, circulated to encourage discussion and comment. Citation and use of such a paper should take account of its provisional character.

(3)

CEPR Discussion Paper No. 2647 December 2000

ABSTRACT

Downstream Competition, Foreclosure and Vertical Integration*

This Paper analyses the impact of competition among downstream firms on an upstream firm’s pay-off and on its incentive to vertically integrate when firms on both segments negotiate optimal contracts. We argue that tougher competition decreases the downstream industry profit, but improves the upstream firm’s negotiation position. In particular, the upstream firm is better off encouraging competition when the downstream firms have high bargaining power. We derive implications on the interplay between vertical integration and competition among the downstream firms. The mere possibility of vertical integration may constitute a barrier to entry and may trigger strategic horizontal spin-offs or mergers. We discuss the impact of upstream competition on our results.

JEL Classification: D40, L10, L42

Keywords: bargaining, competition, contracts, foreclosure, vertical integration Gilles Chemla

Faculty of Commerce & Business Administration University of British Columbia

2053 Main Hall Vancouver British Columbia, V6T 1Z2 CANADA Tel: (1 604) 822 8490 Fax: (1 604) 822 8521 Email: gilles.chemla@commerce.ubc.ca

(4)

* I would like to thank University of British Columbia, THEMA (CNRS), and CEPR. I am particularly indebted to Patrick Bolton, Antoine Faure-Grimaud, Denis Gromb, John Moore, Patrick Rey, Jean Tirole and two anonymous referees for long conversations and/or very thoughtful comments which have greatly improved the quality of this Paper. I am also grateful to Torkild Byg, Sorbas von Coester, Leonardo Felli, Jan Mahrt-Smith and seminar participants at the 11th World Congress of the International Economic Association, the 1996 North American Winter Meeting of the Econometric Society, the Canadian Economic Association 2000 Meetings, CSIC – Universitat Autonoma de Barcelona, Seminaire Fourgeaud (CERAS), HEC Graduate School of Management, London School of Economics, THEMA, Universitat Pompeu Fabra, the University of British Columbia and the University College of London for helpful discussions on early drafts. Financial support from the Social Sciences and Humanities Research Council is gratefully acknowledged. All errors are mine.

(5)

NON-TECHNICAL SUMMARY

In many competition policy cases, a dominant firm, say an upstream firm, is suspected to restrict access to an essential input to some downstream firms in order to extend its monopoly power to the downstream industry. In particular, the tendency by the upstream firm to engage in so-called market foreclosure would provide an important rationale for government intervention. This intervention can be as dramatic as the break-up of a large company, as advocated by many in the ongoing Microsoft case.

The present Paper aims to provide a caveat to the view that dominant firms necessarily want to extend their monopoly power to vertically related markets. An important intuition behind the market foreclosure argument is that the use of vertical restraints such as (price) discrimination, non-linear tariffs and/or vertical integration may allow the upstream firm to increase the downstream industry profit and appropriate it (Rey and Tirole, 1999). This effect is typically modelled through optimal take-it-or-leave-it contract offers made by a monopolistic upstream firm to downstream firms that compete for both input and output. In this Paper, we observe that a monopolistic upstream firm need not have all the bargaining power as, for instance, the mere threat of the appearance of an alternative source of supply would increase the downstream firms’ bargaining power. We thus allow the upstream firm and downstream firms to bargain over optimal tariffs. We argue that a monopolistic upstream firm that can use vertical restraints may then be willing to favour downstream competition.

When the tariffs are negotiated, the use of vertical restraints allows the upstream firm to appropriate only part of the downstream industry profit. When a downstream firm makes a contract offer, it sees itself as the incremental downstream firm. Then, when the cost to the upstream firm of servicing an additional downstream firm is convex, the contract offer made by each firm increases with the number of downstream firms. Thus, downstream competition improves the upstream firm’s negotiation position. Therefore, when downstream firms have high bargaining power, the upstream firm is better off with more downstream competition. Therefore, the foreclosure result relies heavily on the extreme assumption that the upstream firm has all the bargaining power.

This negotiation effect may actually be so strong that the upstream firm’s incentive to favour downstream competition is sometimes higher than that of a social planner. When the downstream firms make contract offers, the upstream firm ignores both the positive effect of an increase in competition (and production) to consumers and the negative effect to downstream firms. The additional cost of servicing one more firm is borne by the downstream firms and it benefits the upstream firm even though this cost is higher than the positive effect on consumers of increasing production.

(6)

This approach allows us to derive predictions on the interactions between vertical integration and the competitive environment. Vertical integration allows the upstream firm to increase her leverage on the downstream industry. When she appropriates (a share of) the downstream industry surplus and when the supplier’s bargaining power is low (or high), the benefit from vertical integration increases (or decreases) with downstream competition. Ex ante, the possibility of vertical integration has important consequences on market structure. Entry in the downstream industry may be restricted by the mere threat of vertical integration. Strategic horizontal mergers or spin-offs may be observed in order to prevent vertical integration. The case where two upstream firms compete to supply downstream firms is discussed.

(7)

 W?|hL_U|L?

At T@Tih @?@*)3it @ 4L?LTL*t|U Tt|hi@4 €h4<t ?Ui?|i |L ThL4L|i UL4 Ti||L? Mi|ii? _L?t|hi@4 €h4t @?_ |L ih|U@**) ?|i}h@|i L?i _L?t|hi@4 €h4 Ai _L?t|hi@4 €h4t UL4Ti|i ML| |L M) ?T| uhL4 |i Tt|hi@4 €h4 @?_ |L ti** L|T| |L UL?t4iht 6Lh i@U |h@?t@U|L?c LT|4@* |@hgt UL?|? }i?| L? |i ^@?||) i U@?}i_ @hi UL?t_ihi_ tL |@| _LM*i 4@h}?@*3@|L? t hhi*i@?| Oi?Uic 4Lhi €ihUi UL4Ti||L? @4L?} _L?t|hi@4 €h4t @t |L LTTLt|i igiU|t L? |i T@)Lg |L |i Tt|hi@4 €h4G | ihL_it |i _L?t|hi@4 ?_t|h) ThL€|c M| | 4ThLit |i Tt|hi@4 €h4<t ?i}L|@|L? TLt|L?c i | }i|t @ *@h}ih t@hi Lu @ *Lih ?_t|h) ThL€| W? @ Lh*_ Lu ?UL4T*i|i UL?|h@U|tc Ui|iht T@hMtc |i Tt|hi@4 €h4<t thT*t ?Uhi@tit | ML| |i ?_t|h) thT*t @?_ |i t@hi Lu |i ?_t|h) thT*t |@| | U@T|hit t @ hit*|c 4Lhi _L?t|hi@4 UL4Ti||L? ?Uhi@tit EhitT _iUhi@tit |i T@)Lg |L |i Tt|hi@4 €h4 i? |i Tt|hi@4 €h4 @t *L EhitT } M@h}@??} TLih *_?} L? |iti hit*|tc i @?@*)3i |i U@ti ihi |i Tt|hi@4 €h4 ih|U@**) ?|i}h@|it L?i _L?t|hi@4 €h4 5?Ui |t @giU|t |i |L|@* ^@?||) tTT*i_ @?_ |i ?4Mih Lu @U|i _L?t|hi@4 €h4tc |i ?Ui?|i |L ih|U@**) ?|i}h@|i _iTi?_t L? |i 4@h!i| i?hL?4i?| `i uh|ih @?@*)3i |i 4T@U| Lu Tt|hi@4 UL4Ti||L? L? |iti hit*|t

L?t_ih @? ?_t|h) ihi @ 4L?LTL*t|U Tt|hi@4 €h4 ti**t @? ?T| |L _L?t|hi@4 €h4t UL4Ti|?} ML| uLh |i ?T| @?_ L? |i L|T| 4@h!i| `i @tt4i |@| UL?|h@U|t @hi ?UL4T*i|i ? |i ti?ti |@| |i |h@_i UL?|h@U| Mi|ii? |i Tt|hi@4 €h4 @?_ i@U _L?t|hi@4 €h4 t ?L| LMtih@M*i |L |i L|ih T@h|it @?_ U@??L| Mi 4@_i UL?|?}i?| L? L|T|t Oi?Uic UL4Ti||L? @t 4i@thi_ M) |i ?4Mih Lu _L?t|hi@4 €h4t @t |L igiU|tG L? |i L?i @?_c |i |h@?tuih t UL?|?}i?| L? |i |L|@* ?_t|h) ThL€| U t hi_Ui_ M) 4Lhi UL4Ti||L? ? |i L|T| 4@h!i|c i |ihi t @ hi?| hi_U|L? igiU| ?

4Dq h{dpsoh iru wklv dujxphqw lv surylghg e| wkh fdvh ri wkh Hxurshdq whohfrppxqlfd0

wlrqv xsvwuhdp upv zklfk xvhg wr hqmr| d forvh uhodwlrqvkls zlwk vwdwh prqrsrolhv1 Wkh

(8)

|i L|ih @?_c 4Lhi €ihUi UL4Ti||L? Mi|ii? _L?t|hi@4 €h4t 4ThLit |i ?i}L|@|L? TLt|L? Lu |i Tt|hi@4 €h4 W| *i@_t |i _L?t|hi@4 €h4t |L 4@!i }ih M_t uLh |i Tt|hi@4 €h4<t ?T| At ?i}L|@|L? igiU| @*L?i 4@!it UL4Ti||L? _ith@M*i |L |i Tt|hi@4 €h4 @t | hiUiit @ *@h}ih t@hi Lu |i thT*t2 Atc UL4Ti||L? @t @? @4M}Lt igiU| L? |i T@)Lg |L |i Tt|hi@4 €h4 W? T@h|U*@hc ? t|@|L?t ihi |i Tt|hi@4 €h4 @t *L M@h}@??} TLihc | t Mi||ih Lg | @ 4Lhi UL4Ti||i _L?t|hi@4 ?_t|h)

`i |i? ?it|}@|i |i ?|ih@U|L? Mi|ii? |i UL4Ti||i i?hL?4i?| @?_ |i ?Ui?|i |L ih|U@**) ?|i}h@|iG t?Ui |i €h4t @i ?L @*|ih?@|i tLhUi Lu tTT*)c ih|U@* ?|i}h@|L? *i@_t |L |L|@* uLhiU*Lthi @?_ 4L?LTL*3@ |L? Lu |i _L?t|hi@4 4@h!i| Ai hi@tL? t |@| |i Tt|hi@4 €h4 !?Lt @ML| |t |h@?t@U|L?t | L|ih _L?t|hi@4 €h4t @?_ | ?|ih?@*3it |i ?i} @|i i |ih?@*|) |L |t tMt_@h) u | tTT*it |i4 Atc |i T@)Lg |L |i Tt|hi@4 €h4 ?_ih ?|i}h@|L? _Lit ?L| _iTi?_ L? |i ?4Mih Lu _L?t|hi@4 €h4t *i |i Tt|hi@4 €h4<t T@)Lg ?_ih ?L??|i}h@|L? t tMiU| |L |i igiU|t i T*@?i_ @MLi `i? |i hi?| hi_U|L? EhitT ?i}L|@|L? igiU| _L4?@|itc ih|U@* ?|i}h@|L? t 4Lt| @*@M*i i? |ihi t @ } EhitT *L *ii* Lu UL4Ti||L?

5TTLti |@| _L?t|hi@4 €h4t 4@) ?|@**) i?|ih |i 4@h!i| @| @ ULt| @?_ |@| ih|U@* ?|i}h@|L? 4@!it |t ?|i}h@|i_ €h4 Mi@h tL4i @}i?U) Eh‚i4ih Ebbec *i}@*c Lh ?uLh4@|L?@* ULt| Ai 4ihi TLttM*|) Lu ih|U@* ?|i}h@ |L? 4@) @U| @t @ M@hhih |L i?|h)G TL|i?|@* i?|h@?|t ?|L |i _L?t|hi@4 4@h!i| U@? Mi _i|ihhi_ u |i) @?|UT@|i |@| |ih i?|h) L*_ |h}}ih ih |U@* ?|i}h@|L? U L*_ ? |h? 4T*) 4@h!i| uLhiU*Lthi `i? |ihi

survshfw ri ghuhjxodwlrq hyhqwxdoo| ohdglqj wr vrph frpshwlwlrq ehwzhhq qdwlrqdo whohfrp frpsdqlhv lv zlgho| eholhyhg wr frqvwlwxwh d suhvvxuh rq xsvwuhdp upv dv zhoo1

5Udmdq +4<<5, ghyhorsv d wkhru| ri dup*v0ohqjwk ghew vrphzkdw uhodwhg wr rxu qhjrwldwlrq

hhfw zkhuh dup*v0ohqjwk ghew uhgxfhv wkh fuhglwruv* edujdlqlqj srzhu1 Krzhyhu/ lq klv sd0 shu/ wkh orzhu edujdlqlqj srvlwlrq ri fuhglwruv lv gxh wr wkhlu lqdelolw| wr dftxluh lqirupdwlrq derxw wkh eruurzhu udwkhu wkdq frpshwlwlrq1

(9)

t ?L TLttM*i i?|h)c M| i? |i _L?t|hi@4 €h4t 4@) tiT@h@|i Lh 4ih}ic Lh3L?|@* 4ih}iht Lh tT?Lgt 4@) |@!i T*@Ui ? Lh_ih |L Thii?| ih|U@* ? |i}h@|L? 6hL4 |i Tt|hi@4 €h4<t iTL?|c |i 4ihi |hi@| Lu ih|U@* ?|i}h@|L? 4@) @U| @t @ _tUT*?@h) _iUi uLh _L?t|hi@4 €h4t

Ai Thiti?| T@Tih t U*Lti*) hi*@|i_ |L |i *|ih@|hi L? ih|U@* hi*@|L?tTt @?_ 4@h!i| uLhiU*Lthi ? U @? Tt|hi@4 €h4 U@? @TThLTh@|i EtL4i Lu |i _L?t|hi@4 ?_t|h) ThL€| @ i U*t|) UL?|h@U|tc EThUi _tUh4?@|L?c @?_%Lh ih|U@* ?|i}h@|L? Etii +i) @?_ AhL*i<t Ebbb thi)c ihi@u|ih +A W? |t *|ih@|hic |i Tt|hi@4 €h4 U@? @TThLTh@|i |i _L?t|hi@4 ?_t|h) ThL€| M) t?} ih|U@* hit|h@?|t W| t |t Mi||ih Lg hi_U?} UL4Ti||L? ? |i _L?t|hi@4 ?_t|h) `*i |t @h}4i?| @*tL @TTi@ht ? |t T@Tihc i uh|ih @h}i |@| _L?t|hi@4 UL4Ti||L? 4@) Mi _ith@M*i |L |i Tt|hi@4 €h4 MiU@ti | i?@M*it | |L ?Uhi@ti |t t@hi Lu |i _L?t|hi@4 ?_t|h) ThL€| @Tiht T@h|U*@h*) U*Lti ? tTh| |L Lht @hi L*|L? @?_ `?t|L? Ebbc bb  Eihi@u|ih ` @?_ itTiU@**) O@h| @?_ AhL*i Ebbf Eihi@u|ih OA L UL?t_ih @ uh@4iLh! ihi L?i Lh |L Tt|hi@4 €h4t tTT*) |L _L?t|hi@4 €h4t UL4Ti|?} ML| uLh ?T| @?_ ? |i L|T| 4@h!i|  Ai) @?@*)3i UL?_|L?t ?_ih U ih|U@* ?|i}h@|L? |@!it T*@Uic i? | *i@_t |L 4@h!i| uLhiU*Lthic @?_ i? | t tLU@**) _ith@M*i Aiti T@Tihtc Liihc €?_ |@| €h4t @i @? ?Ui?|i |L hit|hU| UL4Ti||L? ? |i ih|U@**) hi*@|i_ 4@h!i| @?_ |@| |i) @i |LL } @? ?Ui?|i uLh ih|U@* ?|i}h@|L? W? |t T@Tih i TL?| L| |@| |ih hit*|t _iTi?_ L? tTiU€U @tt4T|L?t @ML| |ih M@h}@??} }@4i Lh @ML| |i Tt|hi@4 €h4t< ULt| t|hU|hie

6Wkh uhdghu fdq dovr uhihu wr PfOduhq +4<<:, iru dq dqdo|vlv ri wkh dvvhw vshflflw|

sureohp lq yhuwlfdoo| uhodwhg pdunhwv1

7Irupdoo|/ rxu sdshu lv dovr d prghvw frqwulexwlrq wr wkh olwhudwxuh rq frpshwlwlrq lq

frqwudfwv1 Lq rxu vhwxs/ wkh vhfuhf| ri wudqvdfwlrqv ehwzhhq wkh xsvwuhdp up dqg hdfk grzqvwuhdp up/ wkh lqfuhdvlqj frvw ri vxsso|lqj wkh lqfuhphqwdo grzqvwuhdp up dqg wkh lqghshqghqfh ri wkh pdujlqdo frvwv ri surgxfwlrq pdnh vxuh wkdw hdfk grzqvwuhdp up rqo| frqvlghuv lwv elodwhudo uhodwlrqvkls zlwk wkh xsvwuhdp up1 Dv d uhvxow/ wkh xsvwuhdp up fdqqrw frpplw qrw wr vxsso| rwkhu grzqvwuhdp upv1 Wklv hqvxuhv wkh xqltxhqhvv ri wkh htxloleulxp/ zklfk lv wr eh frqwudvwhg zlwk wkh uhvxow rewdlqhg e| Ehuqkhlp dqg Zklqvwrq +4<;9,1 Eldlv/ Pduwlpruw dqg Urfkhw*v +4<<<, sdshu/ zklfk zdv ghyhorshg lqghshqghqwo|/ dovr qgv/ exw iru glhuhqw uhdvrqv/ wkdw frpshwlwlrq lv olplwhg lq wkhlu jhqhudo dqdo|vlv ri

(10)

*|L} | @t Lu|i? Mii? Lih*LL!i_ ? W |iLh)c |i @?@*)tt Lu Th@|i @?_ TM*U ?Ui?|it |L ThL4L|i UL4Ti||L? ? ih|U@**) hi*@|i_ 4@h!i|t t Lu Th@U|U@* 4TLh|@?Ui uLh ML| €h4t @?_ hi}*@|Lht 6Lh ?t|@?Uic uL**L?} @ U@?}i ? |i hi}*@|Lh) i?hL?4i?| ? bbDc A:A _iU_i_ |L _it| |t tTT*ih A:A AiU?L*L}) tL @t |L ThL4L|i UL4Ti||L? @4L?} _L?t|hi@4 €h4t E+A N?_ih ?|i}h@|L?c A:A AiU?L*L}) UL*_ ?L| @i UL44||i_ ?L| |L _tUh4?@|i @}@?t| A:A<t h@*t Ai h@*t L*_ |i? @i |h?i_ |L @*|ih?@|i tTT*iht Ai tLh||ih4 }@?t uhL4 4L?LTL*3@|L? L*_ @i Mii? 4Lhi |@? Lgti| M) |i *L?}|ih4 ULt|t Lu |i tMti^i?| ?i hi*@|L? tTt @?_ UL4Ti||L? W? |t T@Tihc ?Uhi@t?} _L?t|hi@4 UL4Ti||L? @4t @| 4ThL?} |i ?i}L|@|L? TLt|L?c M| | 4@) |@!i T*@Ui MiU@ti Lu @ tT T*) @tth@?Ui 4L|i @t i**D  }LL_ ?_iht|@?_?} Lu L |iti ?Ui?|it _iTi?_ L? |iU?L*L})c _i4@?_ Lh |i UL4Ti||i i?hL?4i?| 4@) }_i UL? |h@U| _it}? @?_ _iUtL?t @ML| ih|U@* ?|i}h@|L? @?_ tT?Lgt @t i** @t UL4Ti||L? TL*U)

Ai T@Tih ThLUii_t @t uL**Lt 5iU|L? 2 Thiti?|t |i 4L_i* 5iU|L? _i tUhMit |i ?i}L|@|L? @?_ hi?| hi_U|L? igiU|t @?_ _ihit ULt|t @?_ Mi?i€|t Lu UL4Ti||L? Ai ?|ihT*@) Mi|ii? ih|U@* ?|i}h@|L? @?_ UL4Ti||L? Mi|ii? _L?t|hi@4 €h4t t i @4?i_ ? tiU|L? e 5iU|L? D i @4?it |i 4T@U| Lu Tt|hi@4 UL4Ti||L? L? |iti hit*|t 5iU|L? S UL?U*_it

2 A i L_i*

? Tt|hi@4 €h4 L ThL_Uit @? ?T| |@| | U@? ti** |L ?   TL|i?|@* _L?t|hi@4 €h4t (c c (? UL4Ti|?} ? @? L|T| 4@h!i| Ai ?ihti

vwudwhjlf ulvn0qhxwudo pdunhw pdnhuv frpshwlqj lq frqwudfwv wr vxsso| d ulvn0dyhuvh djhqw zkr lv sulydwho| lqiruphg derxw erwk klv ydoxdwlrq dqg klv khgjlqj qhhgv1 Lqghhg/ wkhlu uhvxow lv gulyhq e| wkh lqirupdwlrq uhyhdohg e| wkh wudghv zklfk pdnhv vxuh wkdw xqlw sulfhv lqfuhdvh zlwk wkh txdqwlwlhv wudghg/ dqg wkxv wkdw wkh hodvwlflw| ri wkh uhvlgxdo ghpdqg fxuyh lv qlwh1

8Dowkrxjk yhuwlfdo lqwhjudwlrq pd| wdnh sodfh iru d vxsso| dvvxudqfh prwlyh +EZ +4<<6,/

Hprqv +4<<9,,/ wklv prwlyh pd| dovr ohdg d up wr surprwh frpshwlwlrq xsvwuhdp wr lqvxuh djdlqvw d srwhqwldo lqdelolw| ri rqh ri lwv vxssolhuv wr vxsso| wkh jrrg1

(11)

_i4@?_ u?U|L? ? |i L|T| ' $  E' t @tt4i_ _iUhi@t?} @?_ UL?U@iG  f @?_  f Ai _L?t|hi@4 €h4t ?ii_ L?i ?| Lu |i ?T| |L ThL_Ui L?i ?| Lu |i L4L}i?iLt L|T| #L?t|hi@4 €h4 ( @t @ 3ihL |h@?tuLh4@|L? ULt| @?_ ?L @*|ih?@|i tTT*) tLhUi

AL ThL_Ui @ }LL_ uLh _L?t|hi@4 €h4 (c |i Tt|hi@4 €h4 ?ii_t |L Mi@h |i ULt| sE Lu LTi??} @ tTiU€U *?i Lu ThL_U|L? 6Lh ?t|@?Uic |t *?i Lu ThL_U|L? U@? Mi |L}| Lu @t @ ?iUitt@h) t|iT |L ThL_Ui @? ?T| U t UL4T@|M*i | (<t |iU?L*L}) `i _i?L|i 8E? ' S?'sE @?_ i @tt4i |@| sE ?Uhi@tit | |i ?4Mih Lu *?it Lu ThL_U|L? U @hi LTi? Ai u@U| |@| |t ULt| ?Uhi@tit 4@) hiiU| }hL?} @}i?U) ULt|t |? |i Tt|hi@4 €h4 i? | i T@?_t ?Ui |i *?i Lu ThL_U|L? t LTi?c L U@? ThL_Ui @ ?4Mih Lu ?|t @| @ UL?t|@?| 4@h}?@* ULt| S Oi?Uic ThL_U?} @ ^@?||) ^ uLh €h4 ( ULt|t Ec ^ ' sE n S^ `i @tt4i 8 E?  d E'  So'E?c ihi 'E? t |i |L|@* Lh?L| ^@?||)c t t@|t€i_ uLh i@U ?  

h UL?|h@U|@* @tt4T|L?t @hi t4*@h |L |Lti ? OA @?_ +A tt4T|L?  #L?t|hi@4 €h4t< ThL_U|L? t ?L| UL?|h@U|M*i

tt4T|L? 2 L?|h@U|t @?_ |h@?t@U|L?t Mi|ii? |i Tt|hi@4 €h4 @?_ @?) Lu |i _L?t|hi@4 €h4t @hi ?L| LMtih@M*i M) |i L|ih _L?t|hi@4 €h4t

OA |LhL}*) t|u) |iti @tt4T|L?t W? T@h|U*@hc |i) t|hitt |i _U*|) uLh @ _L?t|hi@4 €h4 |L R4L?|Lh Lh UL?|hL* tT4i?|t 4@_i M) dLo |L L|ih T@h|it |L| @?} hit_@* h}|t Lu UL?|hL* Lih |i @tti|t Lu dLoc ?U*_?} M*_?}tc |hU!t @?_ ?i?|Lhit Bi? |t @tt4T|L?c UL?|h@U|t UL?_|L?@* L? L|ih UL?|h@U|t E? T@h|U*@h i U*ti _i@*?} UL?|h@U|t @hi ?L| ui@tM*iG `i? | ?i}L|@|it | L?i _L?t|hi@4 €h4c |i Tt|hi@4 €h4 U@??L| UL44| ?L| |L tTT*) ?T|t |L L|ih _L?t|hi@4 €h4tS 5?Ui

9Dq| rwkhu prwlyh iru wkh xsvwuhdp up wr qrw eh zloolqj ru deoh wr frpplw wr vxs0

so| rqo| d olplwhg dprxqw wr wkh lqgxvwu| zrxog gr wkh wulfn1 Iru lqvwdqfh/ doorzlqj iru vhyhudo surgxfwlrq shulrgv pljkw lqgxfh wkh xsvwuhdp up wr nhhs frpshwlwlrq wr sod| wkh grzqvwuhdp upv djdlqvw rqh dqrwkhu lq d _rqfh rxw dozd|v rxw% vhwxs1

(12)

UL?|h@U|t @hi ?LMtih@M*ic |ihi t ?L TLttM*i ThiUL44|4i?| @ @ UL?|h@U| Etii k@|3 Ebb Lhi tTiU€U@**)c L U@??L| ?_Ui |i _L?t|hi@4 €h4t |L ?_ih|@!i i TLt| ?iUi?| @U|L?t ? |i L|T| 4@h!i|

6h|ih4Lhic i @tt4i |@| |ihi t ?L |h@_i Mi|ii? |i _L?t|hi@4 €h4t At 4@) Mi |i U@tic uLh ?t|@?Uic i? L?*) |i Tt|hi@4 €h4 @t |i |iU?L*L}) |L _it}? |i ?T| uLh |i ti Lu i@U _L?t|hi@4 €h4 Lh |i @M*|) |L |h@?tTLh| |i ?T|

Ai thT*t }i?ih@|i_ t __i_ |hL} M@h}@??} Lih |@hgt Mi|ii? |i Tt|hi@4 €h4 @?_ |i _L?t|hi@4 €h4t Ai M@h}@??} }@4i Mi|ii? L @?_ ( t @t uL**LtG | ThLM@M*|) kc L t4*|@?iLt*) 4@!it i@U ( @ |@!i|Lh*i@i| Lgih Lu @ |@hg |h@?tuih ALcE Ai?c i@U ( i|ih @UUiT|t Lh hiiU|t |i Lgih | @t 4@_i `| ThLM@M*|)   kc @** _L?t|hi@4 €h4t t4*|@?iLt*) 4@!i |@!i|Lh*i@i| Lgiht AcLEjc  ' c c ? |L L Ai?c L i|ih @UUiT|t Lh hiiU|t i@U Lgih Ai T@h@4i|ih k U@? Mi |L}| Lu @t |i Tt|hi@4 €h4<t M@h}@??} TLih.

Ai |4?} Lu |i }@4i t @t uL**LtG

 W? t|@}i c |i Tt|hi@4 €h4 ULLtit |i ?4Mih ?   Lu _L?t|hi@4 €h4t U ** Mi TL|i?|@**) @U|i ? uh|ih t|@}it At 4@) Mi _L?i M) tTiUu)?} |iU?U@* U@h@U|iht|Ut U @hi ?iUitt@h) uLh UL4 T@|M*|) hi@tL?t Lh M) UL44?U@|?} @ T@h|U*@h |iU?L*L}) `|L| !?L?} |iti U@h@U|iht|Ut Lh |t |iU?L*L})c @ _L?t|hi@4 €h4 t|@h|t _ii*LT4i?| |LL *@|i |L Mi @M*i |L ThL_Ui ? *@|ih t|@}it

 W ? t|@}i 2c L M@h}@?t | i@U _L?t|hi@4 €h4 Lih @ |@hg AE ( |i? Lh_iht @ ^@?||) Lu ?T| ^ @?_ T@)t AE^H

:Wkhuh duh d qxpehu ri uhdvrqv iru zklfk dq xsvwuhdp prqrsrolvw pd| qrw kdyh doo wkh

edujdlqlqj srzhu1 Iru h{dpsoh/ wkh xsvwuhdp up pd| eh pruh hdjhu wr uhdfk dq djuhhphqw li wkh ydoxh ri lwv lqsxw ghfuhdvhv ryhu wlph ru li wkhuh lv vrph suredelolw| wkdw d frpshwlqj xsvwuhdp up zloo hqwhu wkh pdunhw1 Wkh uhvxowv lq vhfwlrq 8 lqglfdwh wkdw rxu txdolwdwlyh uhvxowv zrxog rewdlq li zh dvvxphg wkdw wkh xsvwuhdp up kdg doo edujdlqlqj srzhu li lw uhpdlqhg dorqh lq wkh lqgxvwu| +zklfk zrxog rffxu zlwk suredelolw| ,/ exw wkdw d frpshwlqj xsvwuhdp up frxog hqwhu wkh lqgxvwu| zlwk suredelolw| 4  1

;Rxu uhvxowv zrxog qrw eh dhfwhg li upv edujdlqhg ryhu wkh sdlu itl> Wlj1

(13)

 W? t|@}i c |i _L?t|hi@4 €h4t |h@?tuLh4 |i ?T| ?|L @? L|T|c LMtihi L|iht< ThL_U|L? @?_ ULLti |ih ThUit @| U |i UL?t4iht M) |t L|T|

`i @tt4i |@| @? EL|Lui^*Mh4 Lgih M) L |L @ _L?t|hi@4 €h4 U@??L| @giU| |t €h4<t Mi*iut @ML| L<t Lgih |L @?L|ih _L?t|hi@4 €h4 At t ?@|h@* MiU@ti |i Lgiht @hi tiUhi| @?_ L |hit |L i |h@U| @t 4U hi?| @t | U@? uhL4 i@U _L?t|hi@4 €h4 At @tt4T|L? h*it L| @?) 4@?T*@|L? Lu Mi*iut @?_ ** }@h@?|ii |i ?^i?itt Lu |i Thi t|h@|i}) ihuiU| @)it@? ,^*Mh@ i t@** _ihi At @tt4T|L? t _tUtti_ @| *i?}| ? OA @?_ +A L U@** | R4@h!i|M)4@h!i| M@h}@??} Lh RT@tti UL?iU|hit

`i? |i ^@?||) ^ t i U@?}i_ @}@?t| @ |h@?tuih AE^c i _i?L|iG  Z ' E'^ AE^ _L?t|hi@4 €h4 (<t ThL€|c

 ZL 'S?'AE^  S'  8 E? |i T@)Lg |L |i Tt|hi@4 €h4 E|t hitih @|L? |*|) t ?Lh4@*3i_ |L fc

 7 'U'

f E%_%   E'' |i UL?t4ih thT*tc

 7` ' ZL nS?'Zn 7 'Uf' E%_%  S'  8 E? |i tLU@* i*u@hi t @ Mi?U4@h!c i €ht| |h? |L |i U@ti ihi |i Tt|hi@4 €h4<t Lgiht @hi TM*U*) LMtih@M*i Aiti |@hg Lgiht L*_ t@|tu)bG

4@ EALcEu ? [ ' dALcE^  S^ sEo E r| ^ 5 @h} 4@  E^3n ^^ ALcE^  E^3 n ^^ ALcE^  fc ; 5 ic c ?j

<Jlyhq wkdw wudqvirupdwlrq frvwv duh orz uhodwlyh wr wkh xsvwuhdp up*v surgxfwlrq frvw/

lw lv zhoo0hvwdeolvkhg wkdw wkh grzqvwuhdp upv zloo wudqvirup doo wkh xqlwv ri lqsxw wkdw wkh| erxjkw dqg pdunhw doo wkh fruuhvsrqglqj xqlwv ri rxwsxw +vhh Wluroh +4<;;,/ fk1 8,1

(14)

W? |t U@tic |i Lgiht U@? TihuiU|*) 4@?T*@|i |i ^@?||it ^ !iiT ?} |i _L?t|hi@4 €h4t< T@h|UT@|L? UL?t|h@?|t M?_?} N?_ih UL4T*i|i ?uLh4@|L?c L U@? UL44| |L ti** @ }i? @4L?| Lu ?T| |L |i ?_t|h) @?_ @TThLTh@|i |i L*i ?_t|h) thT*tc U t 4@ 43i_ ?_ih |i 4L?LTL*) ^@?||)f W? i^*Mh4c |i |L|@* ^@?||) ThL_Ui_ t E?L| th Tht?}*) |i 4L?LTL*) ^@?||) '6 ' @h} 4@  E''  S' ?) @**LU@|L? Lu |i 4L?LTL*) ^@?||) @4L?} _L?t|hi@4 €h4t t @? i^*Mh4 Atc |i ?_t|h) ThL_U|L? @?_ |i UL?t4ih<t thT*t _L ?L| _iTi?_ L? ?c *i |i T@)Lg |L |i Tt|hi@4 €h4 @?_ tLU@* i*u@hi _iUhi@ti | |i ?4Mih Lu _L?t|hi@4 €h4t tTT*i_ M) @ ULhhitTL?_?}*) }ih ?4Mih Lu *?it Lu ThL_U|L?

Wuc ?t|i@_c |i _L?t|hi@4 €h4t ihi |L 4@!i |@!i|Lh*i@i| Lgiht |L |i Tt|hi@4 €h4 @?_ ihi @M*i |L ULLh_?@|ic |i) L*_ ULLti |i 4L?LTL*) ^@?||) i TLt| Oihic |i €h4t U@??L| ULLh_?@|i Bi? |i t4*|@?i|) @tt4T|L?c i|ih |i Lgiht @hi tiUhi| Lh ?L| t hhi*i@?| Ai U@ti ihi |i _L?t|hi@4 €h4t 4@!i |i Lgiht t t|_i_ ? |i ?i | tiU|L?

Ai W?Ui?|i |L 6@Lh #L?t|hi@4 L4

Ti||L?

W? |t tiU|L?c i tL |@| |i igiU| Lu _L?t|hi@4 UL4Ti||L? L? |i T t|hi@4 €h4<t thT*t @?_ tLU@* i*u@hi UhU@**) _iTi?_t L? |i _t|hM|L? Lu M@h}@??} TLiht `i _i?|u) |i hi?| hi_U|L? ELh L|T| @?_ ?i}L| @|L? igiU|t `i t@** tii |@| i? |t M@h}@??} TLih t *L i?L}c |i Tt|hi@4 €h4 4@) Mi Mi||ih Lg | @ UL4Ti||i _L?t|hi@4 ?_t|h)

6hL4 ?L L?c i @tt4i |@| |i |h@?t@U|L?t Mi|ii? |i Tt|hi@4 €h4 @?_ @ _L?t|hi@4 €h4 @hi ?L| LMtih@M*i |L L|ih _L?t|hi@4 €h4t W? |t ti|Tc i t@** tii |@| |i Tt|hi@4 €h4 t ?@M*i |L Uhi_M*) UL44| |L ti** |i 4L?LTL*) ^@?||) Lh ?L| |L tTT*) tL4i €h4t

43Iru pruh rq wklv/ vhh Pdwkhzvrq dqg Zlqwhu +4<;7,1

(15)

 Ai ,^*Mh4 "@?||it @?_ Ah@?tuiht

hLTLt|L?  W? i^*Mh4c |i Tt|hi@4 €h4 tTT*it i@U _L?t|hi@4 €h4 |i Lh?L| ^@?||) ?_iTi?_i?|*) Lu |i _t|hM|L? Lu M@h}@??} TLih Ai i TiU|i_ |h@?tuih uhL4 i@U _L?t|hi@4 €h4 |L |i Tt|hi@4 €h4 tG

AkE^ ' k E?^^ n E  kdS^n sE?o E2

hLLuG 5ii TTi?_  

Ai |L|@* ELh?L| ^@?||) ?Uhi@tit | |i ?4Mih Lu _L?t|hi@4 €h4tc M| | t ?_iTi?_i?| Lu M@h}@??} TLih Ai hi@tL? uLh |t t t4T*) |@| i@U T@h|) 4@!?} @? Lgih |L |t |h@_?} T@h|?ih tii!t |L 4@ 43i |i thT*t uhL4 |ih M*@|ih@* hi*@|L?tTc hi}@h_*itt Lu |i hi*@|L?tTt Mi|ii? |i Tt|hi@4 €h4 @?_ |i L|ih _L?t|hi@4 €h4t `@|iih |i _t|hM|L? Lu M@h}@??} TLihc L U@??L| UL44| ? @?) @) |L hit|h@? |i ^@?||) UL4Ti||L? Mi|ii? |i _L?t|hi@4 €h4t

`i? |i Tt|hi@4 €h4 4@!it |i |@!i|Lh*i@i| Lgihtc | @TThLTh@|it |i L*i _L?t|hi@4 ?_t|h) Lh?L| ThL€| At 4@!it | U*i@h |@| |i Tt|hi@4 €h4 tgiht uhL4 |i ?@M*|) |L UL44| |L tTT*) *itt |@? |i Lh?L| ^@?||) Lhi ?|ihit|?}*)c i? |i _L?t|hi@4 €h4t 4@!i |i |@!i|Lh*i@i| Lgihtc |i) U@??L| Thii?| |i Tt|hi@4 €h4 uhL4 LTi??} @?L|ih *?i Lu ThL_U|L? @?_ ti**?} ?T|t |L L|ih _L?t|hi@4 €h4t At *i@_t |i4 |L *i@i |i Tt|hi@4 €h4 | @ hi?| U ?Uhi@tit | |i ?4Mih Lu €h4t

W? |t t4T*i i?hL?4i?|c M@h}@??} TLih _Lit ?L| @giU| ThL_U|L? W| t4T*) _i|ih4?it |i _t|hM|L? Lu |i hi?|t LM|@?i_ uLh }i? L|T|

44Vxssrvh wkdw doo grzqvwuhdp upv exw Gl kdg djuhhg wkdw Gm> m 9@ l zrxog ex| Tp@q1

Wkhq/ zkdwhyhu  +wkh uhdghu fdq uhihu wr wkh dsshqgl{ rq wklv,/ X dqg Gl zrxog djuhh rq

d txdqwlw| tl @ duj pd{^S +q4q Tp. t,  f`t @ UF+q4q Tp, A Tp@q/ zkhuh wkh Frxuqrw

uhdfwlrq ixqfwlrq vdwlvhv 4 ? +UF,3 ? 3 ++UF,3@ +S3. TS33,@5S3. tS335 +4> 3, vlqfh

S3 ? 3 dqg S33 ? 3,1 Wklv frpplwphqw sureohp lv dqdorjrxv wr wkh Frdvldq gxudeoh jrrg

sulflqj sureohp lq pdq| uhvshfwv/ zlwk wkh qxpehu ri upv sod|lqj wkh vdph uroh dv wkh qxpehu ri shulrgv lq wkh gxudeoh jrrg prqrsro| fdvh1

(16)

Mi|ii? Tt|hi@4 @?_ _L?t|hi@4 €h4t Aiti |L ui@|hit @**L t |L uLUt L? |i |h@_iLg Mi|ii? |i hi_t|hM|L? Lu hi?|t @?_ |i t3i Lu |i hi?|t

2 Ai +i?| +i_U|L? ,giU|

`i? k ' c |i Tt|hi@4 €h4 @TThLTh@|it |i i?|hi ?_t|h) thT*t Wu |ihi @hi 4Lhi |@? L?i €h4t ? |i _L?t|hi@4 4@h!i| |i? 4Lhi L|T| t ThL_Ui_ |@? ? @ 4L?LTL*) @?_ ?Uhi@t?} |L|@* L|T| M) ?Uhi@t?} |i ?4Mih Lu _L?t|hi@4 €h4t *i@_t |L @ hi?| hi_U|L? `i hiuih |L |t @t |i hi?| hi_U|L? igiU| Lu UL4Ti||L? `i? ? ?Uhi@titc |L|@* L|T| @?_ UL?t4ih thT*t ?Uhi@tic M| |i T@)Lg |L |i Tt|hi@4 €h4 E'E?'E? S'E?  8E? _iUhi@tit Et?Ui ' : '6c  f @?_  fc d E'E?  S n E'E?'E?o'E?  8E? f L @TThLTh@|it |i L*i ?_t|h) thT*t U t 4@ 43i_ ?_ih 4L?LTL*) AihiuLhic i? | @t @** |i M@h}@??} TLihc |i Tt|hi@4 €h4 ULLtit ? '  TL|i?|@**) @U|i _L?t|hi@4 €h4t ? t|@}i c i | uLhiU*Ltit |i 4@h!i|c @*|L} |t t ?_ith@M*i uhL4 @ tLU@* iTL?|

Ai hi?| hi_U|L? igiU| t @U|@**) @ ?@|h@* i |i?tL? Lu |i EL@t@? UL44|4i?| ThLM*i4 i? uLUt?} L? |i igiU| Lu _L?t|hi@4 UL4Ti||L? L? |i T@)Lg |L |i Tt|hi@4 €h4 Oihic i t|@h| uhL4 |i LMtih@|L? |@| i? |ihi @hi *itt _L?t|hi@4 €h4tc |i Tt|hi@4 €h4 tgiht *itt uhL4 |t ?@M*|) |L tTT*) |i4 @**2

 Ai i}L|@|L? ,giU|

`i? k ' fc |i M@h}@??} }@4i t hi_Ui_ |L t4*|@?iLt UL?|h@U| Lgiht uhL4 |i _L?t|hi@4 €h4t |L |i Tt|hi@4 €h4 `i? 4@!?} @? Lgihc i@U ( i TiU|t |@| ?   L|ih _L?t|hi@4 €h4t ** Mi tTT*i_c @?_ |@| | **

45Rxu dssurdfk lq wklv vhfwlrq frxog dovr eh vhhq dv d sulqflsdo0djhqw uhodwlrqvkls lq wkh

vw|oh ri Pdvnlq dqg Wluroh +4<<5, zkhuh wkh sulqflsdo shuirupv klgghq dfwlrqv +wkh vdoh wr rwkhu grzqvwuhdp upv,1 Jlyhq wkh ghjuhh ri frpshwlwlrq lq wkh grzqvwuhdp pdunhw/ wkh xsvwuhdp up*v klgghq dfwlrq hqwhuv wkh grzqvwuhdp upv* remhfwlyh ixqfwlrq1 Khuh/ dv vrrq dv q  5/ wkh xsvwuhdp up lv vwulfwo| zruvh r wkdq li wkh grzqvwuhdp upv frxog revhuyh lwv dfwlrq1

(17)

ULt| S^ n sE? |L |i tTT*ih |L ThL_Ui ^ ?|t Lu ?T| Oi?Uic i@U (<t Lgih @?_ |i ?4Mih Lu ?|t ML| ?Uhi@ti | ? Ai !i) ?}hi_i?| uLh |i uLh4ih hit*| t L<t ?Uhi@t?} ULt| Lu LTi??} @__|L?@* *?it Lu ThL_U|L? At 4@!it thi |@| |i T@)Lg |L |i Tt|hi@4 €h4c ZLE? ' S' n ?sE?  S' S?

'sE 'S?'dsE?  sEoc ?Uhi@tit | ? `i U@** |t *@||ih igiU| |i ?i}L|@|L? igiU| 

Ai ?||L? Mi?_ |i ?i}L|@|L? igiU| U@? @*tL Mi ?_iht|LL_ M) @t t4?} € i_ |L|@* L|T| i^@**) t@hi_ Mi|ii? |i _L?t|hi@4 €h4tc i@U Lu |i4 }i||?} '*? Ai?c ?Uhi@t?} ? @?_ !iiT?} ' UL?t|@?| _Lit ?L| @giU| |i Lgiht 4@_i M) L OLiihc i@U ( @t |L Lgih |i Tt|hi@4 €h4 S'*? n sE?c U t |i ?Uhi4i?|@* ULt| Lu _i@*?} | |i 4@h}?@* €h4 *i@h*)c |i T@)Lg |L Lc ?sE?  8 E?c t ?Uhi@t?} ? ? t |i ?4Mih Lu _L?t|hi@4 €h4t }hLt |i Tt|hi@4 €h4 hi|@?t @** |i ?uh@4@h}?@* Mi?i €|t Lu tTT*)?} |i4 @** At t |i ?i}L|@|L? igiU| `*i @ _L?t|hi@4 4L?LTL*t| L*_ L?*) @i |L T@) |i Tt|hi@4 €h4 |i @ih@}i ULt| Lu ThL _U?} 'c ?i}L|@|L? | ? €h4t ThL_U?} ' Mh?}t T@)4i?|t Lu i@U Lu |i4 U*Ltih |L |i ?Uhi4i?|@* ULt| Lu ThL_U?} '*? uLh i@U Lu |i4 W u |i Tt|hi@4 €h4 4@!it |i Lgihc |i L|T| igiU| Lu ?Uhi@ti_ UL4Ti||L? *i@_t |L @ hi_U|L? ? hi?|t @?_ |ihiuLhi |L @ hi_U|L? ? i |h@U|i_ thT*t Wu |i _L?t|hi@4 €h4t 4@!i |i Lgihtc ?Uhi@ti_ UL4Ti||L? 4@!it L Mi?i€| uhL4 |i ?i}L|@|L? igiU|c ?Uhi@t?} |i @ih@}i ThUi uLh @ }i? *ii* Lu L|T|

Oi?Uic ? t|@}i c |i Tt|hi@4 €h4 TM*U*) TU!t ? '  TL|i?|@**) @U|i _L?t|hi@4 €h4t 5?Ui |i Tt|hi@4 €h4 @t ?L M@h}@??} TLihc | u@Lht UL4Ti||L? Eh@|ih |@? uLhiU*Lti |i 4@h!i| Mi|ii? |i _L?t|hi@4 €h4t |L ?_Ui |i4 |L 4@!i }ih Lgiht Atc |i Tt|hi@4 €h4<t ULUi Lu _L?t|hi@4 UL4Ti||L? UhU@**) _iTi?_t L? |t M@h}@??} TLih

46Wklv uhvxow lv txdolwdwlyho| forvh wr wkdw lq Vwroh dqg ]zlheho +4<<9d/ 4<<9e,/ zkhuh

wkh dxwkruv ghyhors d qrq0frrshudwlyh pxowlodwhudo g|qdplf edujdlqlqj jdph dssolhg wr lqwudup edujdlqlqj1 Rxu dssurdfk lv yhu| glhuhqw/ wkrxjk/ ehfdxvh zh dqdo|}h edujdlqlqj ryhu rswlpdo frqwudfwv dqg frpshwlwlrq/ exw zlwk d pruh vw|ol}hg edujdlqlqj jdph1

(18)

Ai ?i}L|@|L? igiU| *i@_t _L?t|hi@4 €h4t |L 4@!i Lgiht |L L U ?Uhi@ti | |i _i}hii Lu UL4Ti||L? @t 4i@thi_ M) |i ?4Mih Lu _L? t|hi@4 €h4t `*i | t 4L_i*i_ |hL} @? ?Uhi@t?} ULt| Lu LTi??} *?it Lu ThL_U|L?c tU @? igiU| t hLMt| |L @ ?4Mih Lu @*|ih?@|i tTiU€U@|L?t Lu |i 4@h!i| i?hL?4i?| @?_ Lu |i M@h}@??} ThLUi_hie At igiU| t @Mti?| ? ` MiU@ti |i) @tt4i_ ?L ULt| uLh |i Tt|hi@4 €h4 W? OAc |i Lgiht @hi @*@)t 4@_i M) |i Tt|hi@4 €h4t @?_ |t igiU| t }?Lhi_

e Ai ULUi Mi|ii? uLhiU*Lthi @?_ _L?t|hi@4 UL4

Ti||L?

?@*)3?} |i |L TL*@h U@tit Ek ' f @?_ k '  i?@M*i t |L _i?|u) |L @? |@}L?t|U igiU|t Lu UL4Ti||L? Lc i @__hitt |i |h@_iLg Mi|ii? |iti igiU|t Lhi UL4Ti||L? Mi|ii? _L?t|hi@4 €h4t 4ThLit |i Tt|hi@4 €h4<t ?i}L|@|L? TLt|L?c M| _iUhi@tit |i ?_t|h) ThL€| 6Lh k 5 dfc oc |i T@)Lg |L |i Tt|hi@4 €h4 U@? Mi h||i?

ZLE? ' k

k

d E'E?  So'E?  8 E?ln E  kd?sE?  8 E?o E  Ai uL**L?} ThLTLt|L? uL**Lt uhL4 |i ThiLt _tUttL?

hLTLt|L? 2 Ai igiU| Lu _L?t|hi@4 UL4Ti||L? L? |i T@)Lg |L |i T t|hi@4 €h4 _iTi?_t L? |i _t|hM|L? Lu M@h}@??} TLih W? T@h|U*@hc |ihi i t| ikc k2  kj tU |@| ZL t|hU|*) ?Uhi@tit | ? i? k k

47Rxu frvw vwuxfwxuh lv sduwlfxoduo| frqyhqlhqw lq wkdw lw fdswxuhv wkh kljkhu frvw ri vhuylf0

lqj d odujhu qxpehu ri upv zkloh ohdylqj wkh xsvwuhdp up zlwk wkh frpplwphqw sureohp phqwlrqhg deryh1 Zlwk dq lqfuhdvlqj pdujlqdo frvw ri wrwdo surgxfwlrq/ lqvwhdg ri dq lq0 fuhdvlqj frvw ri rshqlqj dq dgglwlrqdo olqh ri surgxfwlrq/ grzqvwuhdp upv* rhuv zrxog eh pruh frpsolfdwhg wr ghvfuleh1 Fhwhulv sdulexv/ wkh frpshwlwlrq hhfw zrxog eh pruh udglfdo wkdq lq rxu sdshu1 Li zh ohdyh wkh vwuxfwxuh ri rxu prgho xqfkdqjhg dsduw iurp wklv glhuhqw frvw vwuxfwxuh/ grzqvwuhdp upv pljkw eh whpswhg wr ex| wkh wrwdo lqgxvwu| txdqwlw| dqg wr surgxfh wkh prqrsro| txdqwlw|1 Wkh lqfuhdvlqj pdujlqdo frvw ri surgxfwlrq zrxog/ xqghu vrph flufxpvwdqfhv/ doorz wkh xsvwuhdp up wr frpplw qrw wr vxsso| pruh xqlwv ri lqsxw zkhq wklv ehfrphv wrr frvwo|1 Wkh lqwxlwlyh rxwfrph wkdw hdfk up rhuv wkh vxssolhu*v lqfuhphqwdo frvw ri surgxfwlrq +zklfk lqfuhdvhv zlwk rwkhu upv* surgxfwlrq ehfdxvh wkh pdujlqdo frvw lqfuhdvhv, zrxog uhtxluh glhuhqw vshflfdwlrqv ri wkh jdph/ vxfk dv fdsdflw| frqvwudlqwv ru lqqlwho| uhshdwhg frqwudfw rhuv1

(19)

@?_ t|hU|*) _iUhi@tit | ? i? k : k2 W? t|@}i c L TU!t  _L?t|hi@4 €h4t i? k k @?_  _L?t|hi@4 €h4 i? k : k2

hLLuG 5ii TTi?_  

`i? | @t } M@h}@??} TLihc |i Tt|hi@4 €h4 @TThLTh@|it @ *@h}i t@hi Lu |i _L?t|hi@4 ?_t|h) ThL€| *i |i igiU| Lu UL4Ti||L? L? |i _L?t|hi@4 €h4t< Lgiht t ?L| ih) 4TLh|@?| W| t |t Mi||ih Lg u@U?} @ ?L? UL4Ti||i _L?t|hi@4 ?_t|h) W? UL?|h@t|c i? |t M@h}@??} TLih t *Lc | @TThLTh@|it @ t4@** t@hi Lu |i ?_t|h) ThL€| ? |i @Mti?Ui Lu UL4Ti||L? 6@Lh?} UL4Ti||L? @**Lt |i Tt|hi@4 €h4 |L ?Uhi@ti |t t@hi Lu |i ?_t|h) ThL€| M) i?@?U?} |t M@h}@??} TLih W| @t @? ?Ui?|i |L i?@?Ui M@h}@??} TLih @| |i ULt| Lu |L|@* hi?|

At 4L|i tc Liihc ?hi*@|i_ |L tLU@* UL?Uih?t 6hL4 @ tLU@* i TL?|c |i i*u@hi4ThL?} igiU| Lu @? ?Uhi@ti ? UL4Ti||L? U*i@h*) _i Uhi@tit ? ? t?Ui |i TLt|i igiU| Lu ?Uhi@t?} ? L? UL?t4ih thT*t _i Uhi@tit | ? @?_ |i ULt| Lu LTi??} @__|L?@* *?it ?Uhi@tit | ?c Lhi 4TLh|@?|*) uhL4 @ TL*U) iTL?|c i tL*_ L?_ih i|ih L<t ?Ui?|i |L ThL4L|i UL4Ti||L? t |LL *L uhL4 @ tLU@* iTL?| At U@? Mi _L?i i@t*) M) UL4T@h?} E  @?_ 7`  `i? L 4@!it |i Lgihtc }i? |@| Z ' f uLh @?) ?c @?_ |@| L Mi@ht @** |i ULt| Lu LTi??} @__|L?@* *?it Lu ThL_U |L?c |i L?*) _gihi?Ui | |i LMiU|i Lu @ tLU@* T*@??ih t |@| L _Lit ?L| ?|ih?@*3i |i TLt|i igiU| Lu 4Lhi UL4Ti||L? L? 7 Oi?Uic L @t |LL *L @? ?Ui?|i |L u@Lh UL4Ti||L? uhL4 @ tLU@* iTL?| `i? ( 4@!it |i Lgihtc | }?Lhit ML| |i TLt|i igiU| Lu @? ?Uhi@ti ? UL4Ti||L? E@?_ ThL_U|L? |L UL?t4iht @?_ |i ?i}@|i igiU| |L _L?t|hi@4 €h4t Ai @__|L?@* € i_ ULt| Lu tihU?} L?i 4Lhi €h4 t MLh?i M) |i _L? t|hi@4 €h4tc @?_ | Mi?i€|t L ii? |L} |i @ttLU@|i_ ULt| Lu LTi??} @? @__|L?@* *?i Lu ThL_U|L? t }ih |@? |i TLt|i igiU| L? UL?t4iht Lu ?Uhi@t?} ThL_U|L? |L 'E? n 

(20)

LhL**@h)  Ai Tt|hi@4 €h4<t ?Ui?|i |L u@Lh UL4Ti||L? t *Lih |@? |@| Lu @ tLU@* T*@??ih i? k : k2 @?_ U@? Mi i|ih *Lih Lh }ih i? k k

At hit*| t |L Mi UL?|h@t|i_ | |i @?@*)tt Lu 4@h!i| uLhiU*Lthi ? ` @?_ OA W? |iti T@Tihtc |i Tt|hi@4 €h4<t ?Ui?|i |L ThL4L|i UL4Ti||L? ? ih|U@**) hi*@|i_ 4@h!i|t t |LL *L uhL4 @ tLU@* iTL?| Oihic |t ?ii_ ?L| Mi |i U@tic Uc Lu ULhtic TL|i?|@**) @t t|hL?} 4T*U@|L?t uhL4 @ UL4Ti||L? TL*U) iTL?|

e Vih|U@* W?|i}h@|L?

 L|*) _iM@|i_ tti ? @?||ht| TL*U) UL?Uih?t |i hitTL?ti |L ih|U@* ?|i}h@|L? Vih|U@* ?|i}h@|L? t _i*) |L}| Lu @t @ tL4i@| h@_U@* @) Lu 4TLt?} ih|U@* hit|h@?|t L? ih|U@**) hi*@|i_ €h4t W? |t tiU|L?c @t ? OA @?_ +Ac i i ih|U@* ?|i}h@|L? @t @? LTTLh|?|) uLh |i Tt|hi@4 €h4 |L LihUL4i |i EL@t@? UL44|4i?| ThLM*i4 _itUhMi_ ? tiU|L? M) hit|hU|?} ThL_U|L?D `i uLUt L? |i igiU| Lu _L?t|hi@4 UL4Ti||L? L? |i ?Ui?|i uLh |i Tt|hi@4 €h4 |L ih|U@**) ?|i}h@|i L?i _L?t|hi@4 €h4

`i @tt4i |@| |i L?ih Lu @ ThL_U|L? ?|<t @tti|t t i?||*i_ |L @** |i hi|h?t }i?ih@|i_ M) |t ?| E@*|L} ThL€| t@h?} L*_ Mi i?L} @?_ @** |i _iUtL? h}|t UL?Uih??} ThL_U|L? @?_ |h@_i ?L*?} |t ?| ?ihtT ** 4@||ih MiU@ti Lu UL?|h@U| ?UL4T*i|i?itt `i uL**Li_ |i *|ih@|hi ? @tt4?} |@| ?L UL?|h@U| U@? Mi t}?i_ MiuLhi |i M@h}@??} t|@}i w!i BhLtt4@? @?_ O@h| EbHSc ` @?_ OA Eihi |t @tt4T|L? t _tUtti_ @| *i?}|c |i U@h@U|iht|Ut Lu |i ?T| 4@) Mi _U*| |L h|i ?

48D qxpehu ri h{dpsohv fdq eh xvhg wr grfxphqw wklv dujxphqw1 Vhh/ iru lqvwdqfh/

Eudqghqexujhu dqg Qdohex*v +4<<9, ghvfulswlrq ri krz Qlqwhqgr frxog exlog lwv vxffhvv rq yroxqwdu| vkruwdjhv ri ylghr jdphv dqg ylghr jdph v|vwhpv diwhu wkh plg04<;3v ehfdxvh ri d grplqdwlqj srvlwlrq rq wkh vhjhphqw ri ylghr jdph v|vwhpv dqg ri lwv rzqhuvkls ri jdph0ghyhorslqj vxevlgdulhv +ss1 444044;,1

(21)

@ UL?|h@U| ? @_@?Ui W| ** MiUL4i U*i@h tLh|*) |@| i U@? @Mt|h@U| uhL4 4L_i*?} |i @U^t|L? ULt| @t ih|h@?_ UL4Ti||L? Mi|ii? _L?t|hi@4 €h4t |L ti** |ih @tti|t L*_ *i@_ |L @ 3ihL ULt| Lu @U^h?} @ _L?t|hi@4 €h4

6Lh t4T*U|)c i @tt4i |@| L 4ih}it | i|ih f Lh  _L?t|hi@4 €h4t At 4@) Mi i|ih MiU@ti @ ih|U@* t|hU|hi | 4Lhi |@? L?i _L?t|hi@4 €h4 @t |L Mi@h @ ThLM|i*) } @}i?U) ULt| Lhc @t i t@** ?L tiic MiU@ti 4L?LTL*3@|L? @?_ |L|@* uLhiU*Lthi ? i^*Mh4 4@!i L?*) |i ?|i}h@|L? Lu L?i €h4 ThL€|@M*i W?_ii_c i €ht| UL?t_ih L ih|U@* ?|i}h@|L? @giU|t M@h}@??} @?_ ThL_U|L?

wi44@  N?_ih ih|U@* ?|i}h@|L?c |i Tt|hi@4 €h4 L?*) tTT*it |t tM t_@h) W| tTT*it |i 4L?LTL*) ^@?||) '6

hLLuG 5ii TTi?_  

5?Ui | U@? LMtihi ML| |t |h@?t@U|L?t | |i L|ih _L?t|hi@4 €h4t @?_ | LM|@?t @** |i hi|h?t Lu |i ih|U@* t|hU|hi E@?} @ t@hi q L*_ ?L| @giU| |i hit*|c |i Tt|hi@4 €h4 ?|ih?@*3it |i ?i}@|i i |ih?@*|) Lu tTT*)?} L|ih _L?t|hi@4 €h4t L? |t tMt_@h) Bi? |t ?uLh4@|L?@* @_@?|@}ic ?L|?} Thii?|t | uhL4 tTT*)?} |i 4L?LTL*) ^@?||) Ai Tt|hi@4 €h4 U@? @TThLTh@|i |i L*i ?_t|h) thT*t M) tTT*)?} L?*) |i €h4 |@| | L?t At thT*t t 4@ 43i_ ?_ih |i 4L?LTL*) ^@?||) Wu | tTT*it @?L|ih _L?t|hi@4 €h4c | ** tTT*) 4Lhi |@? |i 4L?LTL*) ^@?||) ? i^*Mh4 Atc |i L?*) i^*Mh4 |@| U@? i t| t |@| L tTT*it |i 4L?LTL*) ^@?||) |L |t _L?t|hi@4 €h4 @?_ _Lit ?L| tTT*) @?) L|ih €h4 Aihi t 4L?LTL*3@|L? @?_ |L|@* uLhiU*Lthi Eihic |i @Mti?Ui Lu @? L|t_i LT|L? uLh _L?t|hi@4 €h4t t UhU@* Ai T@)Lg |L |i ?|i}h@|i_ t|hU|hi _Lit ?L| _iTi?_ L? |i ?4Mih Lu €h4t ? |i 4@h!i|

`i ?L t|_) |i igiU| Lu _L?t|hi@4 UL4Ti||L? L? |i Tt|hi@4 €h4<t ?Ui?|i |L ih|U@**) ?|i}h@|i L?i _L?t|hi@4 €h4 Wu k ' fc L  L?

(22)

_iUhi@tit | ? t?Ui L? ?Uhi@tit | ? `i? 4@?) €h4t @hi ? |i _L?t|hi@4 4@h!i|c |i Tt|hi@4 €h4<t thT*t t @*hi@_) ^|i } ?_ih ?L??|i}h@|L? @?_ |i ThL€| ?Uhi@ti ?_ih ih|U@* ?|i}h@|L? t ?L| tL } W? UL?|h@t|c i? |ihi @hi ui _L?t|hi@4 €h4tc |i T@)Lg ?_ih ?L? ?|i }h@|L? 4@) Mi tL *L |@| ih|U@* ?|i}h@|L? t Lh|*i L?ihti*)c u k ' c L L? ?Uhi@tit | ? t?Ui L? _iUhi@tit | ? 6Lh k 5 dfc oc | uL**Lt 44i_@|i*) |@|

hLTLt|L? Ai Tt|hi@4 €h4<t ?Ui?|i |L ?|i}h@|i @ _L?t|hi@4 €h4 4@) i|ih ?Uhi@ti Lh _iUhi@ti | |i ?4Mih Lu _L?t|hi@4 €h4t W? T@h |U*@hc i? k k EhitT k : k2c |i ?Ui?|i uLh ih|U@* ?|i}h@|L? t|hU|*) _iUhi@tit EhitT ?Uhi@tit | |i ?4Mih Lu _L?t|hi@4 €h4t

W? |t 4L_i*c ih|U@* ?|i}h@|L? t @*@)t _ith@M*i |L |i Tt|hi@4 €h4 t?Ui | tL*it |t UL44|4i?| ThLM*i4 OLiihc ih|U@* ?|i}h@|L? Lu|i? UL4it | ULt|t ? Th@U|Ui 6L**L?} ` @?_ OAc i UL*_ @i @tt4i_ |@| @ ih|U@**) ?|i}h@|i_ t|hU|hi 4t| Mi@h tL4i @}i?U) ULt|  |@| @ ?L? ?|i}h@|i_ t|hU|hi _Lit ?L| @i |L Mi@h Ai?c ih|U@* ?|i}h@|L? L*_ |@!i T*@Ui i? |i _L?t|hi@4 ?_t|h) t UL4Ti||i EhitT UL?Ui?|h@|i_ i?L} u |i Tt|hi@4 €h4<t M@h}@??} TLih t } EhitT *L

tt4i ?L |@| _L?t|hi@4 €h4t U@? i?|ih @| t|@}i f @| ULt| s @?_ |@| ih|U@* ?|i}h@|L? UL4it @| ULt|  Oi?Uic i?|h) @giU|t |i ?Ui?|i |L ?|i}h@|i Ai ?4Mih Lu _L?t|hi@4 €h4t ? i^*Mh4 t ti?t|i |L |i TLttM*|) Lu ih|U@* ?|i}h@|L? `i? k t *Lc @ tUi?|*) *L i?|h) ULt| ?_Uit i?L} i?|h) |L Thii?| ih|U@* ?|i}h@|L? | @ } i?|h) ULt| UL?t|h@?t |i _L?t|hi@4 ?_t|h) |L @ *ii* Lu UL?Ui?|h@|L? tUi?| |L |h}}ih ih|U@* ?|i}h@|L?c U 4T*it |@| L?*) L?i _L?t|hi@4 €h4 @U|@**) i?|iht |i 4@h!i| `i? k t }c @ } i?|h) ULt| *i@_t |L ?L? ?|i}h@|L? | |i TLttM*|) Lu ih|U@* ?|i}h@|L? 4@) hi_Ui |i ?4Mih Lu i?|h@?|t i?|Ui_ M) @ *L i?|h) ULt|G @ TL|i?|@* i?|h@?| U L*_ @i

(23)

4@_i @ TLt|i ThL€| ? |i @Mti?Ui Lu ih|U@* ?|i}h@|L? 4@) hi@*3i |@| i?|h) L*_ |h}}ih ih|U@* ?|i}h@|L? @?_ L*_ |t Thiuih |L t|@) L|Atc |i 4ihi TLttM*|) Lu ih|U@* ?|i}h@|L? U@? Mi @ M@hhih |L i?|h) @?_ U@? tt|@? ThL€|t ? @? ?_t|h)

LhL**@h) 2 tt4i |@| i?|h) ? |i _L?t|hi@4 ?_t|h) @?_ ih|U@* ?|i }h@|L? @hi tMiU| |L € i_ ULt|t Ai?c i? k : k2c |ihi @hi h@?}it Lu |iti € i_ ULt|t tU |@| |i 4ihi TLttM*|) Lu ih|U@* ?|i}h@|L? U@? Mi @ M@hhih |L i?|h)

OLh3L?|@* 4ih}iht @?_ tT?Lgt 4@) @*tL UL?t|||i @? 4TLh|@?| _iUi? |h@*3i_ @) |L Thii?| ih|U@* ?|i}h@|L? @?_ 4@h!i| uLhiU*Lthi tt4i |@| |ihi t ?L i?|h) M| |@| Lh3L?|@* 4ih}iht @?_ tT?Lgt @hi @**Li_ Ai _L?t|hi@4 €h4t 4@) t|h@|i}U@**) 4ih}i Lh tiT@h@|i ? Lh_ih |L Thi i?| ih|U@* ?|i}h@|L? @?_ 4@h!i| uLhiU*Lthi Ai) 4@) Mi Mi||ih Lg i|ih tiT@h@|?} @?_ i@!i??} |ih M@h}@??} TLt|L? E@?_ 4@)Mi _T*U@|?} € i_ ULt|t Lh 4ih}?} @?_ hi_U?} |ih 4@h!i| t@hi At hit*| L*_tc uLh ?t|@?Uic i? |i L?iht Lu |L 4ih}?} _L?t|hi@4 €h4t t@hi |i ThL€| i^@**) @?_ i? |L _L?t|hi@4 €h4t hit*|?} uhL4 @ Lh3L?|@* tT?Lg UL4Ti|i ? ^@?||it

LhL**@h) OLh3L?|@* ?|i}h@|L?t Ei? k : k2 Lh tT?Lgt Ei? k k 4@) |@!i T*@Ui ? Lh_ih |L Thii?| ih|U@* ?|i}h@|L?

6?@**)c ih|U@* ?|i}h@|L? t ?L| ?iUitt@h*) tLU@**) @h4u*c t?Ui @ tL U@* T*@??ih L*_ @i |L i} |i ULt| Lu 4L?LTL*3@|L? | |i Mi?i€|t Lu t@?} L? @__|L?@* ULt|t Lu LTi??} *?it Lu ThL_U|L? W| uL**Lt uhL4 ULhL**@h)  @?_ |i @?@*)tt Lu |t tiU|L? |@|

LhL**@h) e `i? k : k2c |i Tt|hi@4 €h4<t ?Ui?|i |L ih|U@**) ?|i }h@|i t |LL } uhL4 @ tLU@* iTL?| `i? k kc |i Tt|hi@4 €h4 4@) @i i|ih |LL } Lh |LL *L @? ?Ui?|i uLh ih|U@* ?|i}h@|L? W?

(24)

T@h|U*@hc tL4i tLU@**) _ith@M*i ih|U@* ?|i}h@|L?t 4@) ?L| |@!i T*@Uic i |i) 4@) ?L| Mi Th@|i*) ThL€|@M*ic i? k k

At hit*| t |L Mi UL?|h@t|i_ | ` @?_ OA L €?_ |@| _L?t|hi@4 UL4Ti||L? hit*|t ? @? i Uitti |i?_i?U) |L@h_t ih|U@* ?|i}h@|L? L? _ith@M*i ?|i}h@|L? 4@) @TTi@h ? |ih 4L_i* MiU@ti |i Mi?i€|t uhL4 |i ih|U@* 4ih}ih }L |L |i 4ih}?} T@h|itc *i |i UL?t4iht @hi i|ih Lhti Lg Lh ?@giU|i_S Oihic i? _L?t|hi@4 €h4t @i } M@h}@??} TLihc ih|U@* ?|i}h@|L? @?_ 4L?LTL*3@|L? *i@_ |L t@?}t L? ULt|t Lu LTi??} *?it Lu ThL_U|L? U L*_ @i Mii? ULt|*) uhL4 @ tLU@* iTL?| u |i) ihi }ih |@? |i ?Uhi@ti ? UL?t4ih<t thT*t.

D Ai ,giU| Lu NTt|hi@4 L4Ti||L?

tt4i ?L |@| |ihi @hi |L Tt|hi@4 €h4t LRc R 5 ic 2jc ML| Lu |i4 | @ 4@h}?@* ULt| Lu ThL_U|L? S @?_ @ ULt| Lu LTi??} *?it Lu ThL_U|L? sE `| ThLM@M*|) k EhitT   kc ML| Tt|hi@4 EhitT _L?t|hi@4 €h4t 4@!i |@!i|Lh*i@i| Lgiht Ai?c Lh UL4Ti||L? igiU| Tih|@?t uLh @?) _t|hM|L? Lu M@h}@??} TLihc *i |i hi?| hi_U|L? igiU| @?tit NTt|hi@4 €h4t< T@)Lg ?Uhi@tit | |i ?4Mih Lu _L?t|hi@4 €h4t hLTLt|L? e Ai |h@?tuih u?U|L?tc U @hi Lu |i uLh4 ARcE^Rc ' S^Rcn sE?*2 u ? t ii? @?_ ARcE^Rc ' S^Rc n sEE? n *2 u ? t L__c @?_ |i T@)Lg |L |i Tt|hi@4 €h4t @hi ?@giU|i_ M) |i _t|hM|L? Lu M@h}@??}

49N‚xkq dqg Ylyhv +4<<<, vwxg| d prgho zlwk surgxfw ydulhw| dqg zlwk xsvwuhdp prqrsro|

dqg grzqvwuhdp prqrsrolvwlf frpshwlwlrq1 Wkh| lghqwli| frqglwlrqv rq frqvxphu suhihu0 hqfhv xqghu zklfk yhuwlfdo phujhuv duh zhoiduh lpsurylqj ru zhoiduh uhgxflqj1

4:Voljkwo| prglhg vhwxsv zrxog kdyh ohg xv wr wkh uhvxow wkdw vrph vrfldoo| ghvludeoh

yhuwlfdo lqwhjudwlrqv pd| qrw wdnh sodfh zkhq  lv kljk dv zhoo1 Iru lqvwdqfh/ zkhq X lqyhvwv lq ghvljq +wkh lqyhuvh ghpdqg fxuyh S +h> T, vdwlvi|lqj Sh A 3> Sh>T A 3,/ wkh frqvxphu

dssursuldwhv sduw ri wkh vxusoxv fuhdwhg e| wkh xsvwuhdp up*v lqyhvwphqw/ dqg wkh lqfhq0 wlyh wr yhuwlfdoo| lqwhjudwh fdq eh wrr orz uhodwlyh wr wkh vrfldo rswlpxp1 Zkhq  lv kljk/ prqrsrol}dwlrq diwhu yhuwlfdo lqwhjudwlrq pd| lqfuhdvh lqyhvwphqw1 Frqvxphu vxusoxv pd| eh hlwkhu kljkhu ru orzhu vlqfh frqvxphuv jhw d vpdoohu vkduh ri d odujhu slh1 Vlqfh X ljqruhv wkh srvlwlyh hhfw ri kljkhu lqyhvwphqw rq frqvxphu vxusoxv/ wkh lqfhqwlyh iru prqrsrol}d0 wlrq2yhuwlfdo lqwhjudwlrq pd| eh hlwkhu wrr kljk ru wrr orz iurp d vrfldo ylhzsrlqw1

(25)

TLih NTt|hi@4 €h4t @hi Mi||ih Lg u@U?} @ 4Lhi UL4Ti||i _L?t|hi@4 ?_t|h)

hLLuG 5ii TTi?_  

`i? |i Tt|hi@4 €h4t 4@!i |i Lgihtc |i) UL4Ti|i ? ih|h@?_ | _gihi?|@|i_ ULt|t Ai *Lih ULt| @ttLU@|i_ | @?} tTT*i_ uiih _L?t|hi@4 €h4t UL?uiht @ t|h@|i}U @_@?|@}i U @**Lt |i Tt|hi@4 €h4t |L 4@!i TLt|i ThL€| L? ?uh@4@h}?@* _L?t|hi@4 €h4t Ai }ih |i ?4Mih Lu _Lt?|hi@4 €h4tc |i 4Lhi _L?t|hi@4 €h4t |i) tTT*) @?_ |i }ih |i ThL€| |i) 4@!i i? tTT*)?} @? ?uh@4@h}?@* _L?t|hi@4 €h4 At 4T*it |@| @** |i hit*|t i @_ ? tiU|L? | k ' f ?L L*_ uLh @?) k W? T@h|U*@hc |i ?Ui?|i |L i?ULh@}i UL4Ti||L? ? |i _L?t|hi@4 4@h!i| 4@) Mi }ih |@? |@| Lu @ tLU@* T*@??ih

Ai t|h@|i}it Lu ih|U@**) ?|i}h@|i_ €h4t @hi 4Lhi _U*| |L U@T|hi 6ht| @tt4i |@| L?i Tt|hi@4 €h4c t@) Lc L?t L?i _L?t|hi@4 €h4 @?_ |i L|ih Tt|hi@4 €h4c t@) L2 _Lit ?L| Bi? |t RT@h|@**) ?|i}h@|i_ 4@h!i| t|hU|hic L L*_ Mi |i4T|i_ |L hit|hU| ThL_U|L? @?_ |L tTT*) |t _L?t|hi@4 €h4c t@) (c L?*) OLiihc tTT*)?} L?*) ( L*_ *i@i L2 | |i TLttM*|) |L tTT*) |i L|ih _L?t|hi@4 €h4tc ?U*_?} |Lti uLh U L @t @ *Lih ULt| Lu LTi??} @?L|ih *?i Lu ThL_U|L? Bi? |@| L2 t @*@)t hi@_) |L tTT*) L|ih _L?t|hi@4 €h4tc L t Mi||ih Lg tTT*)?} |i4 u | @t @ ULt| @_@?|@}i Lih L2 #iTi?_?} L? |i _gihi?|@*t Mi|ii? |i ULt|t Lu LTi??} *?it Lu ThL_U|L?c tiih@* t|h@|i}it @hi TLttM*i hi}@h_?} |i tTT*) Lu |i _L?t|hi@4 €h4t uLh U L @t @ ULt| @_@?|@}i 6Lh ?t|@?Uic L4@) tTT*) |iti _L?t|hi@4 €h4t *itt |@? |i Lh?L| ^@?||) Et?Ui | ?|ih?@*3it |i ?i}@|i i |ih?@*|) Lu tTT*)?} |i4 |L |t L? tMt_@h) M| @ ^@?||) |@| t } i?L} tL |@| L2 L*_ *Lti 4L?i) M) tTT*)?} |i4 | @__|L?@* ^@?||it E|t t|h@|i})c ? |h?c L*_ @giU| |i ^@?||it tTT*i_ |L ( M) L @?_ |L |i L|ih _L?t|hi@4 €h4t M) L2

(26)

At ?_U@|it |@| |i |L|@* ^@?||) tTT*i_ L*_ @U|@**) _iTi?_ L? |i t@Ti Lu |i u?U|L? sE 6?@**)c @? @?@*)tt t4*@h |L |@| Lu wi44@  L*_ ?_U@|i |@| ?_ih ih|U@* ?|i}h@|L? Lu L?i _L?t|hi@4 €h4 M) i@U Tt|hi@4 €h4c |L|@* L|T| L*_ Mi |i Lh?L| _LTL*) ^@?||)H

S L?U*_?} +i4@h!t

At T@Tih @?@*)3i_ @ 4L?LTL*t|<t ULUi Lu L 4@?) |h@_?} T@h|?iht | L*_ *!i |L @i i? M@h}@??} Lih LT|4@* UL?|h@U|t W? UL?|h@t| | |i *|ih@|hi L? 4@h!i| uLhiU*Lthic U _itUhMit L |i ti Lu ih|U@* hit|h@?|t ML| ?_Ui @?_ @**L @ €h4 | t}?€U@?| 4@h!i| TLih |L i  |i?_ |t 4@h!i| TLih |L ih|U@**) hi*@|i_ ti}4i?|tc i TL?|i_ L| |@| tU @ €h4 4@) Mi |i4T|i_ |L u@Lh UL4Ti||L? @4L?} |h@_?} T@h|?iht ? Lh_ih |L 4ThLi |t ?i}L|@|L? TLt|L? W|t ?Ui?|i |L u@Lh UL4Ti||L? 4@) @U|@**) Mi }ih |@? |@| Lu @ tLU@* T*@??ih At ?Ui?|i |L ThL4L|i UL4Ti||L? 4@) @*tL L*_ i? UL?_|L?@* UL?|h@U|t E@?_ ? T@h|U*@h i  U*ti _i@*?} @}hii4i?|t @hi @**Li_ 6Lh ?t|@?Uic ? |i U@ti Lu tiih@* ThL_U|L? TihL_tc |i Tt|hi@4 €h4 4@) t|** @?| |L tTT*) @ ?4Mih Lu _L?t|hi@4 €h4t |L 4@!i thi |@| |ihi t i?L} _L?t|hi@4 UL4Ti||L? hi4@??} ? i@U TihL_ W? |i Thiti?Ui Lu Tt|hi@4 UL4Ti||L?c |i uLh4 Lu |i |h@?tuih u?U|L? Lgihi_ M) |i Tt|hi@4 €h4 t @ |LT@h| |@hg @| iih |i _t|hM|L? Lu M@h}@??} TLih NTt|hi@4 €h4t @hi ?@4M}Lt*) Mi||ih Lg | 4Lhi _L?t|hi@4 UL4Ti||L?

`i Mi*ii |@| |t T@Tih L*_ @**L uLh @ ?4Mih Lu TL|i?|@* i |i?tL?t 6ht|c *i i @tt4i_ |@| ih|U@* ?|i}h@|L? t hhiihtM*ic ih|U@* 4ih}iht @?_ tT?Lgt 4@) |@!i T*@Ui ti^i?|@**) At T@Tih t}}it|t |@| @ tu| ? |i _i4@?_ Uhi Lh @ U@?}i ? |i UL4Ti||i i?hL?4i?| 4@) |h}}ih

4;Wklv gxrsro| rxwfrph/ olnh wkh prqrsrol}dwlrq rxwfrph vxevhtxhqw wr yhuwlfdo lqwh0

judwlrq lq wkh suhylrxv vhfwlrq/ zrxog eh vhqvlwlyh wr fdsdflw| frqvwudlqwv ru dq lqfuhdvlqj pdujlqdo frvw ri wudqvirupdwlrq iru grzqvwuhdp upv1 Xqghu wkhvh wzr yduldwlrqv/ wkh lq0 fhqwlyhv iru iruhfovrxuh zrxog suredeo| eh uhgxfhg1

(27)

tU 4ih}iht Lh tT?Lgt At UL*_ Mi @ t|@h|?} TL?| |L@h_t @? @?@*)tt Lu |i _)?@4Ut Lu ?|i}h@|L? 5iUL?_c 4Lt| @tt4T|L?t Lu Lh T@Tih tii4 hi@tL?@M*i |L @?@*)3i €?@?U@* ?|ih4i_@|L? Ai tiUhiU) Lu |h@?t@U|L?t t @? 4TLh|@?| u@U|Lh Lu 4@?) €?@?U@* UL?|h@U|t W?|ihM@?! *L@?t t}}it| |@| M@?!t< ULt| Lu U@T|@* t Lu|i? @ *?i@h u?U|L? Lu |t U@T|@*c *i € i_ uiit 4@) Mi ihi |L T@) uLh *@MLh @?_ LTih@|?} ULt|t h hit*|t t}}it| |@| @? ?it|Lh | t}?€U@?| 4@h!i| TLih @?_ } M@h}@??} TLih L*_ |i?_ |L Lgih 4Lhi i^|)*!i UL?|h@U|tc *i |i t@4i ?it|Lh | *L M@h}@??} TLih Lh UL4Ti|?} ?it|Lht L*_ |i?_ |L Lgih *L@? Lh _iM| UL?|h@U|t | € i_ uiit 6 i_ uiitc @t LTTLti_ |L |i *?i@h T@h| Lu |i |LT@h| |@hgt Ei} ?|ihit| h@|itc L*_ Mi @? 4TLh|@?| _i|ih4?@?| Lu Tt|hi@4 €h4t< ThL€|t @?_ |i) tL*_ Mi *LL!i_ @| U@hiu**) i? i @4??} |i igiU|i *ii* Lu UL4Ti||L?

(28)

TTi?_ hLLu Lu hLTLt|L? 

`i €ht| ti| k '  Ai Tt|hi@4 €h4 4@!it t4*|@?iLt |@!i|Lh*i@i| Lgiht |L @** _L?t|hi@4 €h4t U t@|tu)

4@ ALcEu d ? [ ' ALcE^  S^ sE Ee r|  E^@ 3n ^^  ALcE^ ED f  ^ 5 @h} 4@  E^3@ n ^^ ALcE^ ES *i@h*)c i@U _L?t|hi@4 €h4<t T@h|UT@|L? UL?t|h@?|t M?_?} ?|U T@|?} |i ULUi Lu ^c |i Tt|hi@4 €h4 Lgiht @ |@hg ALcE U t *4|i_ M) |i tiUhiU) Lu |t |h@?t@U|L?t | |i L|ih _L?t|hi@4 €h4t AihiuLhic |i ^@?||) ULti? M) i@U _L?t|hi@4 €h4 t

^ 5 @h} 4@ ? [ '  E^@ 3n ^^ S^ E.  -  E^3@ c

ihi - t|@?_t uLh |i hi@U|L? u?U|L? Lu @ t|@?_@h_ Lh?L| }@4i Oi?Uic |t ^@?||) |h?t L| |L Mi |i Lh?L| ^@?||) Ai?c L @TThLTh@|it |i u** ?_t|h) thT*t @?_ }i|t @ |L|@* |h@?tuih A E' '  E''

`i ?L ?it|}@|i |i U@ti k ' f ,@U _L?t|hi@4 €h4 4@!it @ |@!i |Lh*i@i| Lgih E|L |i Tt|hi@4 €h4 U t@|t€it

4@ AcLEu  E^@3n ^^ AcLE^ EH r| ^ 5 @h} 4@  E^@3n ^^ AcLE^ Eb AcLE^  S^ sE, n  n , [ 'c ' dAE^@  S^ sEo 2D

(29)

 [6 &'c& '

dA&E^&@  S^& sE&oc Ef ihi , EhitT 6 L*_t uLh |i ?4Mih Lu L|ih _L?t|hi@4 €h4t tTT*i_ M) |i Tt|hi@4 €h4 u (<t Lgih t @UUiT|i_ EhitT hiiU|i_ Ai *@||ih UL?t|h@?|c U t M?_?}c U@? Mi hih||i? AcLE^ ' S^ n E?c ihi E? t ?_iTi?_i?| Lu ^b Oi?Uic |L| *Ltt Lu }i?ih@*|)c i U@? hit|hU| Lhti*it |L |h@?tuih u?U|L?t U @hi |LT@h| |@hgt At 4T*it |@|c ihi @}@?c i@U _L?t|hi@4 €h4 ** M) @?_ |h@?tuLh4 @ ^@?||) t@|tu)?}

^ 5 @h} 4@ ? [ '  E^@ 3n ^^ S^ E? ' -E^3@ c E U *i@_tc L?Ui @}@?c |L |i Lh?L| ^@?||) ^ +ih|?} Eqq *i@_t |L A E^ ' S^n sE?c U }it |i hit*| 

hLLu Lu hLTLt|L? 2

;? 5 ic   jc ZLE? n   ZLE? ' kCE? n E  kME?c ihi C3  4?

$?$3CE?

 CE?  d E'E? n   So'E? n   d E'E?  So'E?  sE? n   Cn 4@

$?$3CE? f f M3  4?

$?$3ME?  ME?  ?dsE? n   sE?o  M

n  4@

$?$3ME? At 4T*it |@|

M3 kEM3 C3  Z

LE? n   ZLE?  Mn kEMn Cn

Ai *iu| @?_ t_i t t|hU|*) TLt|i uLh @?) k k  M3*EM3 C3 @?_ |i h}| @?_ t_i t t|hU|*) ?i}@|i uLh @?) k : k2  Mn*EMn Cn  k 

4<Lq rxu vhwxs/ doo xqlwv erxjkw e| grzqvwuhdp upv zloo eh xvhg1 Wklv lv zk| zh glg qrw

kdyh wr irupdoo| glvwlqjxlvk ehwzhhq wkh qxpehu ri xqlwv erxjkw dqg wkh qxpehu ri xqlwv vrog e| grzqvwuhdp upv1

(30)

hLLu Lu wi44@ 

Ai Tt|hi@4 €h4 tTT*it |t _L?t|hi@4 €h4c t@) (c |i ^@?||) ^ ' -E^

3 AihiuLhic |i ^@?||) _iUtL?t @u|ih L @?_ ( E 9'  4@_i |i Lgiht ML| t@|tu) ^ ' @h} 4@ ^  k k-[? '2^  n[? '2^ l ^ S^ E2 U t 4@ 43i_ uLh ^ ' f E?L|i |@| |t hit*| _Lit ?L| _iTi?_ L? |i ULt| Lu LTih@|?} *?it Lu ThL_U|L? 

hLLu Lu hLTLt|L? e

Bi? |@| @? Tt|hi@4 €h4 LR 4t| ?Uh @ € i_ ULt| ? Lh_ih |L tTT*) @ _L?t|hi@4 €h4c i U@? hit|hU| |i @?@*)tt |L |i U@ti ihi i@U _L? t|hi@4 €h4 M)t ?T|t uhL4 L?*) L?i Tt|hi@4 €h4 Wu |i _L?t|hi@4 €h4t i TiU| Tt|hi@4 €h4 LR |L @i tTT*i_ ?R   L|ih _L?t|hi@4 €h4tc @? @?@*)tt t4*@h |L |@| Lu |i ThLLu Lu hLTLt|L?  ?_U@|it |@| E |ih Lgih ** Mi sE?R n S^c E2 i@U _L?t|hi@4 €h4 ** ThL_Ui |i Lh?L| ^@?||)c @?_ E  @*u Lu |i _L?t|hi@4 €h4t @hi tTT*i_ M) i@U Tt|hi@4 €h4 u ? t ii?c @?_ |@| E?  *2 _L?t|hi@4 €h4t ** Mi tTT*i_ M) i@U Tt|hi@4 €h4 *i |i ?| €h4 ** h@?_L43i u ? t L__

L?t_ih ?L |i Lgiht 4@_i M) |i Tt|hi@4 €h4t 4@ ARcEu d ? [ ' ARcE^Rc  S^Rc sE?R E  r| A3RcE^3Rc  ARcE^Rc Ee f  ^Rc5 @h} 4@  E^3@ n ^Rc n ^3Rc^Rc ARcE^Rc ED Ai €h4t UL4Ti|i ? |i ih|h@?_ ti?ti | _gihi?|@|i_ ULt|t AL tTT*) _L?t|hi@4 €h4 (c LR 4t| tTT*) uiih _L?t|hi@4 €h4t |@? ELh @t 4@?) @t L3R Oi?Uic |i Lgiht t@|tu) ARcE^Rc ' S^Rcn sE?*2 u ? t ii?

(31)

@?_ ARcE^Rc ' S^Rcn sEE? n *2 u ? t L__ Ai i^*Mh4 ^@?||it @hic ihi @}@?c |i Lh?L| ^@?||it

L|i |@|c ihi @}@?c |i Tt|hi@4 €h4t 4@!i ThL€|t i? |i) tTT*) ?uh@4@h}?@* _L?t|hi@4 €h4tc M| ?L| L? |i ?Uhi4i?|@* _L?t|hi@4 €h4 Aih T@)Lg SE'?RsE?R  sE ?Uhi@tit | ? uLh @?) k 

(32)

+,6,+,,5

}L?c  @?_  L*|L? EbH.c RL?|h@U|t @t @ @hhih |L ,?|h)c 4ihU@? ,UL?L4U +iic ..c HHef

ih?i4c  @?_  `?t|L? EbHSc Ri? U|L?tc +itLhUi **LU@|L?tc @?_ ,UL?L4U W?i?Uic "@h|ih*) aLh?@* Lu ,UL?L4Utc fc   @tc c # @h|4Lh| @?_ a  +LUi| Ebbbc R L4Ti|?} iU@?t4t ?

@ L44L? V@*i ,?hL?4i?|c ,UL?L4i|hU@ EuLh|UL4?}

L*|L?c  @?_  `?t|L? Ebbc RAi R6LhiU*Lthi ,giU|t Lu Vih|U@* ih}ihtc aLh?@* Lu W?t|||L?@* @?_ AiLhi|U@* ,UL?L4Utc e.c 2f. 2S

L*|L?c  @?_  `?t|L? Ebb c RW?UL4T*i|i L?|h@U|tc Vih|U@* W?|i}h@ |L?c @?_ 5TT*) tth@?Uic +ii Lu ,UL?L4U 5|_itc Sfc 2eH h@?_i?Mh}ihc  @?_  @*iMg EbbSc LLTi||L?c #LM*i_@)

h‚i4ih a Ebbec R AiLh) Lu Vih|U@* W?|i}h@|L? @ti_ L? L?|Lh?} Lt|tc 44iL W#,W

h‚i4ihc a @?_  +Lh_@? EbH.c R? BLih??} *|*@|ih@* Ah@?t@U|L?t | *@|ih@* L?|h@U|tc +@?_ aLh?@* Lu ,UL?L4Utc Hc e SD ,4L?t ` EbbSc RBLL_ A4itc @_ A4itc @?_ Vih|U@* NTt|hi@4 W?|i}h@

|L?c W?|ih?@|L?@* aLh?@* Lu W?_t|h@* h}@?3@|L?c ec eSDHe BhLtt4@?c 5 @?_  O@h| EbHSc RAi Lt|t @?_ i?i€|t Lu ?ihtTG 

AiLh) Lu Vih|U@* @?_ w@|ih@* W?|i}h@|L?c aLh?@* Lu L*|U@* ,UL? L4)c bec Sb.b

O@h|c  @?_ a AhL*i Ebbfc RVih|U@* W?|i}h@|L? @?_ @h!i| 6LhiU*Lthic hLL!?}t @Tiht L? ,UL?L4U U||)c 2fD.S

(33)

k@|3  EbHbc RVih|U@* L?|h@U|@* +i*@|L?tc O@?_MLL! Lu W?_t|h@* h }@?3@|L?c 5U4@*i?tii @?_ `**}c i_t

k@|3  Ebbc RB@4iT*@)?} @}i?|tG ?LMtih@M*i UL?|h@U|t @t ThiUL44| 4i?|tc +@?_ aLh?@* Lu ,UL?L4Utc 22c f.2H

k*i4Tihihc  @?_  i)ih EbHbc R5TT*) 6?U|L? ,^*Mh@ ? *}LTL*) ?_ih N?Uih|@?|)c ,UL?L4i|hU@c D.c 2e .H

k?c kN @?_ j Vit Ebbbc R, Uitt ,?|h)c Vih|U@* W?|i}h@|L? @?_ `i*u@hic +@?_ aLh?@* Lu ,UL?L4Utc fEec D.DSf 

@h|4Lh| # EbbSc R, U*ti #i@*?}c L44L? }i?U)c @?_ *|Th?U T@*t W?Ui?|i AiLh)c +@?_ aLh?@* Lu ,UL?L4Utc 2.c  

@t!?c , @?_ a AhL*i Ebb2c RAi h?UT@*}i?| +i*@|L?tT | @? W ?uLh4i_ h?UT@*c W W G L44L? V@*itc ,UL?L4i|hU@c Sfc e2 @||itL?c B @?_ + `?|ih EbHec R? ,UL?L4U AiLh) Lu Vih|U@* +i

t|h@?|tc +@?_ aLh?@* Lu ,UL?L4Utc Dc 2. H

Uuiic +  @?_  5U@h|3 Ebb c RTTLh|?t4 ? *|*@|ih@* Vih|U@* L?|h@U|?}G L?_tUh4?@|L?c , U*t|) @?_ N?uLh4|)c 4ihU@? ,UL?L4U +iic Hec 2f f

Uw@hi?c a Ebb.c RB*LM@*3@|L? @?_ Vih|U@* 5|hU|hic 44iL L*4M@ N?iht|)

h_Lihc ac B 5@*L?ih @?_ 5 5@*LT Ebbfc R,^*Mh4 Vih|U@* 6LhiU*L thic 4ihU@? ,UL?L4U +iic Hfc 2.e2

+@@? + Ebb2c RW?t_iht @?_ |t_ihtG Ai LUi i|ii? +i*@|L?tT @?_ @h4<t*i?}| #iM|c aLh?@* Lu 6?@?Uic e.c  S.eff

+i)c  @?_ a AhL*i Ebbbc R h4ih L? 6LhiU*Lthic O@?_MLL! Lu W?_t|h@* h}@?3@|L? EuLh|UL4?}

(34)

5|L*ic w @?_ a ~iMi* EbbS@c RW?|h@€h4 @h}@??} ?_ih L?M?_?} L?|h@U|tc +ii Lu ,UL?L4U 5|_itc S E c .Def

5|L*ic w @?_ a ~iMi* EbbSMc Rh}@?3@|L?@* #it}? @?_ AiU?L*L}) LUi ?_ih W?|h@€h4 @h}@??}c 4ihU@? ,UL?L4U +iic HSEc bD222

AhL*i a EbHHc Ai AiLh) Lu W?_t|h@* h}@?3@|L?c WA hitt

Références

Documents relatifs

Opsoclonus–myoclonus syndrome (OMS), also known as “dancing eye syndrome”, is a rare neurological disorder, characterized by the combination of involuntary, irregular,

Proposition 5 If both upstream ¯rms integrate a downstream ¯rm, then down- stream industry output is arbitrarily close to the monopoly quantity if n = 2 and the costs of opening

As a consequence, there is no strategy available to the downstream firm to deter entry when an external shock arises in total input supply : the only way to escape competition in

By contrast, when multiple downstream competitors (secretly) negotiate with a common supplier, there is a unique equilibrium outcome (also in terms of pro…t sharing) and contracts

He was involved between 2002 and 2006 as investigator in the SYSCOLAG research program to contribute to a Web metadadata service for the Integrated Management

The importance of the market risk and uncertainty in the young beef bull sector will be examined more thoroughly as this point was most frequently brought up by

Title: Influence of organic matter and microbial activities on the mobility of arsenic and metals in polluted soils Name(s) of the author(s): Hugues Thouin 1 , Tiffanie

2 - ،ﱐﻭﺮﺘﻜﻟﻹﺍ ﻱﺭﺍﺩﻹﺍ ﺪﻘﻌﻟﺍ ،ﻲﻠﻌﺑ ﲑﻐﺼﻟﺍ ﺔﻤﻴﺣﺭ ) ﺔﻧﺭﺎﻘﻣ ﺔﻴﻠﻴﻠﲢ ﺔﺳﺍﺭﺩ ( ،ﺮﺼﻣ ،ﱃﻭﻷﺍ ﺔﻌﺒﻄﻟﺍ ،ﺓﺪﻳﺪﳉﺍ ﺔﻌﻣﺎﳉﺍ ﺭﺍﺩ ، 2007 ﺹ ، 60 3 - ،ﻥﺍﻮﻠﻌﻟﺍ ﺪﲪﺃ