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Thisthesisdealswithvariousaspectsofnoncooperativegametheorybutthefieldofthe studyisattheintersectionofbilateralbargaining,endogenousnetworkformationand farsightedness.

Withtheideathatafullyspecifiedbargainingprocedurethatimplementstheefficient outcomecanbefound,thesecondchapterexaminesfewsimplecandidateprocedures. Thereisstillalottobelearnedabouttheproceduresthatcouldorshouldbeimp le-mentedinthecontextsequentialbargaining. However,evensimplisticbargain ingproce-duresdon’tnecessarymatchtheefficientoutcome,andtherecan’tbeaconsensusonthe bargainingprotocols. Althoughthisremarkcouldseemnegative,itdoesn’tconcludeto itsinfeasibilityanda mechanismthatkeepstrackoftheorderingofsequentialbilateral negotiationsthatleadstotheefficientoutcomecanstillbefound.

Thesecondchapterprovidesresultsonthestabilityofnetworksof manufacturers andretailersgivenanadjustablelevelofdepthofreasoning.Iemphasizethatarather limitedprojectionissufficienttoreachthehighestlevelofanticipationandthattheusual definitionsofoptimalityorefficiencydoesn’tfitwellthelevel-K solutionconcept.Itis obviousthatthelevel-K solutionconceptshouldbestudiedindifferentsettingstoshed newlightonusualresultsregardingeconomictheory. However,alternativedefinitions ofoptimalityorefficiencythatfitaset-basedsolutionconceptshouldalsobeofgreat interestforfutureresearch.

Theset-baseddefinitionofthevonNeumann-Morgensternfarsightedlystableseta l-lowtheemmergenceofanendogenousallocation.Basedonstandardassumpt ionsonbar-gainingschemes,thestablesetsandtheallocationrulearesimultaneouslydetermined.

Althoughfurtherresearchledtotheconclusionthatthesolutionconceptisnotgood atdealingwithvariousformsofexternalities,thevonNeumann-Morgensternfarsighted stabilitysolutionconceptremainsofinterestinthecontextsthatfitstheassumptions.

B ib l iography

[1]Ambec,S.,andSprumont, Y. Sharingariver.JournalofEconomicTheory107, 2(2002),453–462.

[2]Ansink, E., Gengenbach, M.,and Weikard, H.-P. Riversharingandwater trade.FEEM WorkingPaper(2012b).

[3]Ansink, E.,and Weikard, H.-P. Contestedwaterrights. EuropeanJournalof PoliticalEconomy25,2(2009),247–260.

[4]Ansink,E.,and Weikard, H.-P. Sequentialsharingrulesforrivershar ingprob-lems.SocialChoiceand Welfare38,2(2012a),187–210.

[5]Aumann, R.J.,and Maschler, M. Gametheoreticanalysisofabankruptcy problemfromthetalmud.JournalofeconomicTheory36,2(1985),195–213. [6]Barrett,S. Self-enforcinginternationalenvironmentalagreements. Ox

fordEco-nomicPapers46(1994),pp.878–894.

[7]Beal,S., Ghintran,A.,Remila,E.,andSolal,P.Theriversharingproblem: Asurvey. InternationalGameTheoryReview15,03(2013).

[8]Bloch,F.,andJackson, M. O.Theformationofnetworkswithtransfersamong players.JournalofEconomicTheory133,1(2007),83–110.

[9]Carayol, N., Delille, R.,and Vannetelbosch, V. Allocatingvalueamong farsightedplayersinnetworkformation.EconomicsLetters(2015),Forthcoming.

[10]Carraro, C., Marchiori, C.,andSgobbi, A. Negotiatingonwater:insights fromnon-cooperativebargainingtheory.EnvironmentandDevelopmentEconomics 12(42007),329–349.

[11]Carraro, C.,andSiniscalco, D. Strategiesfortheinternationalprotectionof theenvironment.JournalofPublicEconomics52,3(1993),309–328.

[12]Chvtal, V.,andLovsz, L. Everydirectedgraphhasasemi-kernel .InHyper-graphSeminar,C.BergeandD.Ray-Chaudhuri,Eds.,vol.411ofLectureNotesin Mathematics.SpringerBerlinHeidelberg,1974,pp.175–175.

[13]Chwe, M.S.-Y. Farsightedcoalitionalstability. JournalofEconomicTheory63, 2(1994),299–325.

[14]Currarini,S.,and Morelli, M. Networkformationwithsequentialdemands. ReviewofEconomicDesign5,3(2000),229–249.

[15]d’Aspremont,C.,Jacquemin, A., Gabszewicz,J.J.,and Weymark,J. A. Onthestabilityofcollusivepriceleadership.CanadianJournalofeconomics(1983), 17–25.

[16]Delille,R.,andPereau,J.-C.Theseawallbargaininggame.Games5,2(2014), 127–139.

[17]Dutta, B., Ghosal,S.,and Ray, D. Farsightednetworkformation.Journalof EconomicTheory122,2(2005),143–164.

[18]Dutta, B.,and Mutuswami,S. StableNetworks.JournalofEconomicTheory 76,2(October1997),322–344.

[19]Finus, M.Stabilityanddesignofinternationalenvironmentalagreements:Thecase ofglobalandtransboundarypollution.InternationalYearbookofEnvironmentaland ResourceEconomics. Folmer,H.,Tietenberg,T.,Eds.,EdwardElgar,Cheltenham, UK,2003.

[20]Goyal,S. InIntroductiontoConnections: AnIntroductiontotheEconomicsof Networks.PrincetonUniversityPress,2007.

[21]Grandjean, G., Mauleon, A.,and Vannetelbosch, V. Connectionsamong farsightedagents.JournalofPublicEconomicTheory13,6(2011),935–955. [22]Harsanyi,J. C. Anequilibrium-pointinterpretationofstablesetsandaproposed

alternativedefinition.Managementscience20,11(1974),1472–1495.

[23]Herings,P.J.-J., Mauleon, A.,and Vannetelbosch, V. Farsightedlystable networks.GamesandEconomicBehavior67,2(2009),526–541.

[24]Herings,P.J.-J., Mauleon,A.,andVannetelbosch,V.Stabilityofnetworks underlevel-kfarsightedness.mimeo (2014).

[25]Herings,P.J.-J., Mauleon, A.,andVannetelbosch, V.J. Rationalizability forsocialenvironments.GamesandEconomicBehavior49,1(2004),135–156. [26]Hirshleifer,J. Fromweakest-linktobest-shot:Thevoluntaryprovisionofpublic

goods.PublicChoice41,3(1983),pp.371–386.

[27]Houba, H. Computingalternatingoffersandwaterpricesinbilateralriverbasin management. InternationalGameTheoryReview10,03(2008),257–278.

[28]Houba, H.,vanderLaan, G.,andZeng, Y. Asymmetricnashsolutionsinthe riversharingproblem.StrategicBehaviorandtheEnvironment4,4(2014),321–360. [29]Jackson, M. O. Asurveyofnetworkformation models:stabilityandefficiency.

GroupFormationinEconomics: Networks,Clubs,andCoalitions (2005),11–49. [30]Jackson, M.O.SocialandEconomicNetworks.PrincetonUniversityPress,Pr

ince-ton,NJ,USA,2008.

[31]Jackson, M. O., and Van den Nouweland, A. Stronglystablenetworks. GamesandEconomicBehavior51,2(2005),420–444. SpecialIssueinHonorof RichardD. McKelvey.

[32]Jackson, M. O.,and Watts, A.Theevolutionofsocialandeconomicnetworks. JournalofEconomicTheory106,2(2002),265–295.

[33]Jackson, M. O.,and Wolinsky, A. Astrategic modelofsocialandeconomic networks.JournalofEconomicTheory71,1(1996),44–74.

[34]Kilgour, D. M.,and Dinar, A. Flexiblewatersharingwithinaninternational riverbasin.EnvironmentalandResourceEconomics18,1(2001),43–60.

[35]Kirchsteiger, G., Mantovani, M., Mauleon, A.,and Vannetelbosch, V. Limitedfarsightednessinnetworkformation.COREdiscussionPaper33 (2013). [36]Laffont,J.-J., and Tirole,J. A TheoryofIncentivesin Procurementand

Regulation. The MITPress,1993.

[37]Matsubayashi, N., and Yamakawa, S. Anetworkformationgame withan endogenouscostallocationrule.Tokyo,TokyoUniversityofScience, mimeo(2004). [38]Mauleon, A.,Sempere-Monerris,J.J.,and Vannetelbosch, V. Networks

ofmanufacturersandretailers.JournalofEconomicBehaviorandOrganization77, 3(2011),351–367.

[39]Mauleon, A., Vannetelbosch, V.J., and Vergote, W. vonneumann–

morgensternfarsightedlystablesetsintwo-sided matching. TheoreticalEconomics 6,3(2011),499–521.

[40]Muthoo, A. Bargainingtheorywithapplications. Cambridge UniversityPress, 1999.

[41]Mutuswami,S.,and Winter, E. Subscription mechan ismsfornetworkforma-tion.JournalofEconomicTheory106,2(2002),242–264.

[42]Navarro, N. Fairallocationinnetworkswithexternalities.GamesandEconomic Behavior58,2(2007),354–364.

[43]Navarro, N. Flexiblenetworkrulesforidentifiedexternalities. GamesandEco-nomicBehavior69,2(2010),401–410.

[44]Navarro, N. Forward-lookingpairwisestabilityinnetworks withexternalities acrosscomponents.DepartamentodeFundamentosdelAn´alisisEcon´omicoI,UPV=

EkonomiAnalisiarenOinarriakISaila,EHU,2013.

[45]Navarro, N. Expectedfairallocationinfarsightednetworkformation. Social Choiceand Welfare43,2(2014),287–308.

[46]Page,F.H.,and Wooders, M.Strategicbasinsofattraction,thepathdominance core,andnetworkformationgames.GamesandEconomicBehavior66,1(2009), 462–487.

[47]Page,F.J., Wooders, M.H.,andKamat,S.Networksandfarsightedstability. JournalofEconomicTheory120,2(February2005),257–269.

[48]P´erez-Castrillo, D.,and Wettstein, D. Formingefficientnetworks. Eco-nomicsLetters87,1(2005),83–87.

[49]Rubinstein, A. Perfectequilibriuminabargaining model. Econometrica50,1 (1982),pp.97–109.

[50]Slikker, M.,andvanden Nouweland, A. Networkformation modelswith costsforestablishinglinks.ReviewofEconomicDesign5,3(2000),333–362.

[51]Staahl,I.Bargainingtheory.EconomicResearchInstituteattheStockholmSchool ofEconomics(EFI),1972.

[52]Sutton,J. Non-cooperativebargainingtheory: Anintroduction. TheReviewof EconomicStudies53,5(1986),709–724.

[53]Tercieux, O., and Vannetelbosch, V. Acharacterizationofstochastically stablenetworks.InternationalJournalofGameTheory34,3(2006),351–369.

[54]Thomson, W. Game-theoreticanalysisofbankruptcyandtaxationproblems: Re-centadvances.InternationalGameTheoryReview15,03(2013),1340018.

[55]Von Neumann, J., and Morgenstern, O. Theoryofgamesandeconomic behaviour.PrincetonUniversityPress,Princeton,NJ,1944.

[56]Wang, Y. Tradingwateralongariver. MathematicalSocialSciences61,2(2011), 124–130.

Title: Bilateral BargainingandFarsightednessin Networks: Essaysin Economic Theory

Abstract

Thethesisconsistsinfouressaysthatdealwithbargainingandnetworksinnoncooperativegametheory. Thefirstchapterintroduceriverbargaininggamesinthecontextofexternalities. Theseawallbargaining gamedealswithanoncooperativeapproachofaninvestmentgameinacontextofpositiveexternalities. The mainresultshowsthatthepositioningoftheagentsimpactstheirincentivestositatthebargaining table,leadingtoachickengame. Anintermediaryplayershouldleadthenegotiationstoimprovethesocietal welfare.IntheRiverbargainingproblem,anoncooperativebargainingonaflowingresourceinthepresence ofnegativeexternalities. Resultsshowthatdependingontheinstigatorofthebargainingsequencesbutthere areanalogiesbetweensolutionsundertheATSandtheUTIprinciples. Thesecondchapterdealswiththe formationofnetworksof manufacturersandretailersinthepresenceofnegativeexternalitieswhenplayers arelevel-K farsighted. Theresultsshowthat,(i)arelativelylowleveloffarsightednessissufficienttoreach theinfiniteleveloffarsightedness;(ii)usualdefinitionsofoptimalityorefficiencyfindlimitationswhenit comestobeconfrontedtoaset-baseddefinitionofstability.(iii)Ifthereistransitivecorrespondencebetween thepairwisefarsightedstablesetandthelevel-∞ farsightedstableset,thenthissetislikelytobestrongly efficient.InAllocatingvalueamongfarsightedplayersinnetworkformation,weproposestheconceptofa von Neumann-Morgensternfarsightedstableset withbargaining. Underthissolutionconcept,thestable networkssoasthecomponentwiseegalitarianallocationruleemergeendogenously. Thischapterprovides necessaryconditionsunderwhichavonNeumann-Morgensternfarsightedstablesetwithbargainingsustains thestronglyefficientnetworks.

Keywords: Bargaining,Networks,Farsightedness

Titre: N´egociationsbilat´eraleset Clairvoyancedansles R´eseaux: Essaisen Th´eorie Economique.

esum´e

Cetteth`eseconsisteenquatreessaisquitraitentden´egociationetder´eseauxenth´eoriedesjeuxnon coop´erative. Lepremierchapitrepr´esentedesjeuxden´egociationsdansuncontexted’externalit´es. Lejeu den´egociationsurladiguetraited’uneapprochenoncoop´eratived’unjeudinvest issementdansuncon-texted’externalit´espositives. Lesincitations`aprendrepartauxn´egociationssesynth´etisentenun”jeu delapoule mouilee”. Lesresultats montrentquilestsocialementplusefficacequ’unjoueurinterm´ediaire m`enelesn´egociations. Le probl`emeden´egociationsurlarivi`ereestunjeuden´egociationnoncoop´eratif surl’utilisationdelaressourcefluvialeenpr´esenced’externalit´esn´egatives.Ilexistedesanalogiesentreles solutionsobtenuesdanslescasdel’ATSetdel”UTI.Ledeuxi`emechapitretraitedelaformationder´eseaux deproducteursetded´etaillantsenpr´esenced’externalit´esn´egativeslorsquelesjoueurssontclairvoyants dedegr´e-K. Lesr´esultats montrentque(i)undegr´edeclairvoyancerelativementfaibleestsuffisantpour atteindrelaclairvoyanceabsolueouinfinie;(ii)lesd´efinitionshabituellesdel’optimumoudel’efficiencene conviennentpasparfaitement`aunconceptdestabilit´eensembliste.(iii)Silex isteunecorrespondancetran-sitiveentrelastabilit´eclairvoyanteparpairesetlastabilit´eclairvoyantededegr´einfini,alorsl’ensemblestable peutˆetreefficient. DansAttributiondelavaleurentrejoueursclairvoyantsdansleprocessusdeformation der´eseau.Ils’agitd’unchapitreth´eoriquequiproposeleconceptdestabilit´evon Neumann-Morgenstern avecn´egociation. Dansceconceptdesolution,lesensemblesder´eseauxstables,ainsiqu’uner´epartition

´

egalitaireauseindescomposantsdur´eseausontd´etermin´esconjointement,etde mani`ereendog`ene. Ce dernierchapitre meten´evidencelesconditionsn´ecessairespourquelesr´eseauxvonNeumann-Morgenstern avecn´egociationsoientefficients.

Mots-ces: N´egociation,r´eseaux,Clairvoyance

GroupedeRechercheenEconomieTh´eoriqueetAppliqu´ee(GREThA), UMRCNRS,Universit´edeBordeaux.

16avenueL´eonDuguit33600Pessac

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