Performance Pay, Sorting and Social Motivation
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(25). ;© Sx )lW/A3"<.@;3/2r&7/E3 ce*8i0/IJ4:5iu@<eVtZeiAlW@/2D2DE/I74rL7W@363>iu*n1L@@XnivlW@36:c{@J4:FDIh4@3 :f+b*433>iu+0@p:5ibcs@[7,iu3 lW/ADI@!:DADI*t/²7.r a0*,+g<4/IJW@+brW/q74r h,i~/(D2/viE/(@3Ñ*,aiblW@`J4:+0/2:VWDA@mX4:[Z 3fl]@cw@!:Fff*4+b<W/q74r iu* iAl4@ @cHXWDE*8Zt@@F3 .31]/(D2D23"/E7wi2l]@3@fF*874<X.:;+~iK03@@CVW@;D2*,xs)l4/(3*8hDI<w7W*8iWlW:[Jt@VW@;@7eX4*,353/IVWDE@C/qiAle: 3@[i*,a:r]@33@;fh4+/I7.r{:e3iA+S/Af[iuDZjc{*,74*8iu*87/Ifw:r4@FÁd@a0ab*4+(iXW+0*4ab/(DA@8x-:fl@[cHXWDE*8Zt@@e/23C:DADI*t@;< iu* :Fff;@X,i:7,Z*,a0ab@+ l4:iu@J]@+"lW@+ 31]/(D2DDI@J4@FD~.iul,hW35P/27 i2l/I3Cib+0@:[iuc{@[7,ii2l@kau/E+bcÒf:F7,74*,i$36f+0@@[7 iAlW@w3614/(DADI@<@cHXWDE*8Zt@@;3V4Z/qi03*,adau@p+6x ° D(DPiblW@wf;*,7,ib+b:Ff[iAh4:D*,adau@+03C:+0@e<4/(3XWDI:Z]@<3/IcwhWDIiA:7W@;*,h435DqZ *&7@[J@+(Z@ckXWD2*8Z]@@ A3w36f+0@@57Px Å07f*87,iu+d:F3iu:a0/E+0c fp:5747]*8i 3@@kiul4@{*,ada0@+3ce:F<4@kV,ZiblW@n*,i2lW@+ a0/2+bcn3{35/I7Wf@ @:+@ 74*8i/I7,iu@+@3iu@;</v73i2hW<8Z]/E74r?:rW@f;*874iA:r4/2*&7@a0ab@&f[i~3[x ° 3n/27^»|@l4+@i:Dbx ©Fª4ªLº,w:+d:;7W<,*,c ce@Ff[lW:57W/23c <L@iA@+bcn/274@3ni2l]@*4+b<4@+e/27YlP/flo@:flo@cwXWD2*8Z]@@f:57Ñf;l4*,*436@ :;c{*87Wrni2lW@+@ce:&/q7/q7.r:5J4:p/ED2:VDI@wfF*87,ib+0:Ff[iu3x ° 7@ckXWD2*8Z]@@ef:;7fl]*4*436@w*,7WDvZj*,74@ef*&78iu+b:&f[i:F74< 3SlW@ f:7w+@dµ@;fFiW:FD(D4*4aba0@+3[x. º.
(26) Åu7^iblW@36@&f;*87W<3}iu:rL@&ibl]@@cwXDI*]Z]@;@ÃlW* lW:3w:Fff@;X,ib@;<^:jf*,7,iu+b:&f[i>f[lW*L*43@3lW@+C:&f5i(h4:FD@paba0*,+bi D2@J]@DÎab+*,c iul4@{3@[iÎ*ta"au@:35/IVDE@{D2@[JW@DA3[x-a0ab*4+(i /A3*&VW3@+bJ4:;VWD(@wVLh,i74*8i$f*&78ib+0:Ff[i0/IVWD2@8x )ÎlW@eab/E+0c +0@&f;@/vJ]@&3:ab@&@;<8VW:;f1*,7i2lW@n:Fff@5X,ib:57Wf;@*,a/vi03H*,adau@p+V,Z:;7@;cwXWDI*,Z4@F@8iAl]@31W/2D(DD2@[J]@8D*,a"iblW/23 @cHXWDE*8Zt@@:57W< lW@+fl]*4/(f;@n*4a@pa0ab*4+(iSx-$:f5lX.:;+bib/Af/IX4:7,i/E3e/q7Wab*4+bc{@<:V]*8h4ilW@+X4:5ZW*,a0a/I7^iAlW@ f5h4+d+0@7,i]XW@+S/2*4<.x)lW@"X4:5ZW*,a0ab3"a0*,+*t7]@>X@+0/2*,<:+0@f:FD(f5hPDI:iA@F<:3a0*4D(D2*43 Áau*,+iul4@@cwXWD2*8Z]@@ π = − ( )− ~/qiblo¶VW@/I74r?:ab/IzW@&<f*L3iAh4X]*87:Fff@;X,ib:574fF@*,a:. . . f;*874iA+d:Ffib&:7]<·H*]i2lW@;+d/23@&. Á au*t+iAl@au/E+0c π = −
(27) hLXW*87n:;f&f;@X,iA:7]f@*,a/Iiu3C*,aba0@+S4:7W<·e*8iAl4@+0/(3@&,l4@+0@©F·,· <L@[7W*8iu@3C:w+0@;<4@cwX8i~/I*,7J4:FDvh]@&P/~x @,x,ibl]@srL+0*433 X4+0*tau/vib:;V4/AD(/qi(ZÃ*,a@:fl{h47W/vi|*,a@aba0*t+bif;lW*,3@57V,Zniul4@ @cHXWDE*8Zt@@&x&)lW/23Îabh47Wf5ib/2*&7e/(33iA:7]<,:+0<:7]<r&h.:;+d:;7,iu@@F3|iul4:[iKDI*W33:Jt@+S3/2*87wXWDI:Z]37P*+0*4D2@8x . ) l]@wDE:5hL7Wf[l/q7Wre*ta:7W@ÑXW@+/2*4<n+0@*,X]@743"i(l]@ce:+014@5idxtB*&7,ib+b:&f5i*,aba0@;+S3 :+@w/(<L@[74iu/Ea0/2@&<kH/qi(l{74@ 7Lh4cwVW@+343*wi2lW:[i/Ii/2374*,iX4*4335/²VWDE@Ciu*n/I<4@57,i0/2aEZ{a/v+0c{3C*,+@cHXWDE*8Zt@@;3 DE:iu@+*87PxH)l,hW35,:a0/I+dc\f:7 7]@/viAl4@;++0@:+<7]*,+PX4h,7W/23li(l]@CX4:;3i<,@fF/(3/2*&7w*4aP:36XW@f&/Ia0/2f@cwXWD2*8Z4@F@8x&)lW/23+AhPDI@&3*&hti+0@X,h,iu:iu/2*87 au*t+bce:5i0/(*,7Px):5VWDE@ ¦w<4/A3SXPDI:Z]3ibl4@"7@ iWXW:5Z4*4aba03:F3536*.f/I:5i0@;</viAlH@:flX4*433/IVWD2@C<L@f/23/2*87x. "!$#%'&(!*),+-/.0132 )l]@3@;f*,7]< X4:+(i>*ta"iAlP@36@;353/2*87f*87W3/E3iE3w*taiblW@k=@[7Lhib+0@:[iuce@57,iSx ¾H*4Kiu* XW:[Z3fl4@ce@F3 f;*,@zW/A3}ixkÅu7nibl4@a0/v+3}iÎ3}iu:r]@w*ta|@:&f5lnX]@p+0/A*,<W]iAl]@a0/E+0c!XW*43di03 :ce@574h*,a|f&*87,ib+b:pf[i03iu*ki2l@cw:+b1W@iSx )l]@c{@574ho/I7WfDqhW<4@;3nVW*8i(lo:;7g@[z]*4rL@[7W*&h435DqZ<4@a0/I7P@;< J]:+/E:;VWD2@X4:;Zof*&7,ib+0:f[i:;74<o:^au/vzt@<X.:5Z f;*874iA+d:Ffidxe³7WD2/E1]@/I7n»K@[lW+:7W<Wf5l4cn/2<8iÎ(¦W·,·,·404lW@+S@X4+/v7WfF/vX4:FD23 f[lW*L*43@V4@iA@&@[7:;7{@z,XD2/2f/vi f;*874iA+d:Ffi":57W<:7/IcwXD2/EfF/vifF*87,ib+b:pf[i0/v7*8h4+ @zLXW@+0/Ece@57tii2lW@{f[l]*4/EfF@sVW@ib@F@[7 ivlP@eab/vzt@&<:57]<ÃiAl4@ J]:+/E:;VWD(@!XW:[ZÐ36fl4@cs@83`/A3ce:<L@ V,ZÒi2lW@
(28) @cwXDI*8Z]@@&3[x)lW/23`<4@3/2r87 r8h4:F+b:7,iu@@3`i(l4:5iiAl4@ ¼.
(29) X4:;+~i~/2f8/²X4:7,iu3C/(D2DP7W*8iab:Ff&@w:e3l]*t+(iu:rW@w*,a:F7,Zni(Z]XW@e*8a"X4:5Z35fl]@ce@8xW)l4@J4:F+0/E:;VPDI@X4:Zf*,7,iA+0:fi 3Sib:5i0@;3ÎiAl4:i.iul4@C:;rW@Cf:F7siA:1L@Ca0*,h4+XW*433/IVWDE@J]:D2h4@3. ∈. (
(30) ):7]<i(l4:;i.iul4@C:;rW@X4:&/I<. iu*iAl4@C@cwXWD2*8Z]@@<4@[XW@57W<,3*87wiAl4@C:&f5i(h4:FDPDI@J]@&D4*,a@8aba*,+bifl]*,3@[7wV,ZiblW/A3@;cwXPD*]Z]@@/q7wiAl4@3@fF*874< 3Sib:;r4@C*,a4iblW@ X4@+0/(*L<.:Fff;*t+0<4/I74rib*i(lW@ a0*4D(D2*4/q7.r+0@&DI:[iu/(*&7W3SlW/vX . %& %!- 2 2. . l]@+S@iAl]@XW/2@f&@Áb+b:iu@ ! /23a0/qz@<w:5i¥:57W<iAl4@Ccs@p:F3h4+0@;ce@[74if;*.3Si /EcHX4*,35@;<iu*iAl4@@5cwXPD*]Z]@@/23 a0/IzW@&<w:i¥4xH)l4/A3>cs@:57W3i(l4:5ii2lW/(3:r4@/23"<,@iA@+bc{/E7]@< )$ ,:;a(i0@+iblW@Ca0/E+0c_l.:F3"*,V43@+(JW@;<siAl4@ :Ff[iAh4:&DPD2@[J]@&D.*,a|@a0ab*,+bi*ta/qi03 @cHXWDE*8Z]@&@8x»K*t+i2lW@3:1]@*,af;*,cwXW:+0:VW/AD(/ iAZ{*,a@cwXWD2*8Z4@F@3 Wf[lW*4/2f@;35 iAlW@J]:+/I:VWD2@CX4:Zj3f5lW@ce@w/23"l4*WDI<nfF*8743iA:;7,i:f+*,33au/(+dc{3x ° 3C/I7ei(l]@a0/I+S3SiiA+@:iAc{@7,ii(l]@a0/qz@<. X4:5Zf*87,iu+b:&f[i/23k:57o/I74f;*tcHXWDE@5ib@f;*874i(+0:FfFiul]/2fl3SXW@;f/Ea0/2@&3wV4*8iAl::;r4@&. ∈. (
(31) ). :;74<Ñ:o<,@3/E+0@<ÑD2@[JW@FDw*,a{@paba0*,+biSxÒ¾H@[z,i~@:fl @cHXPDI*,Z]@@l4:F3iE*f5lW*,*,3@V4*8iAl *87W@ce@7Lh*,a f;*874iA+d:FfiA3:cs*874rn:pDEDPi2lW@+0@ce:/I7W/I74r{*,adau@+03:J]:/ADE:;VWDE@/E7ei2l@ce:;+d1]@[i:57]<n@&/qi(l]@+i(lW@ab/vzt@&<k*,+iul4@ J]:+/E:;VWD(@X4:Zj36f[lW@cs@]x yC74f@:ck:5iuf[l/q7Wrel4:3VW@F@7ecw:&<,@H/v7ei2lW@ce:;+d1]@[i0,VW*8iAl{*,aba0@+3Cad+0*4cmiAl4@ a0/2+bc <4/(36:XLX4@:+{ad+0*,c iAlW@^ce:+b1W@[ix)l/23/(3DE/21L@/v7oi(lW@:F<8J]@+035@3@FDE@;fiu/E*&7Ñce*,<4@DA3 $*t7]f@: f;*874iA+d:Ffi/23 3@FDE@Ff[iu@<eV,Zn:F7n:;r4@7,i~]iAl4@Cl4*WDI@cs@7,h/23"74*D2*874r]@+:5JW:/ADv:FVWDE@&x W/I7]f@i2lW@J]:+/E:;VWD2@ X4:5ZH35f[l@5cn@/23Î:5JW:/ADI:VWD2@C/I7w@Jt@+~ZHa0/E+0c{piulW/(3<,*,@F3Î7]*8iW:ada0@Ff[i.iAl@ce*L<,@&D (3X4+@<4/2fiA/2*873[x. . Åu7iulW@n36@f;*,74<3}iu:r]@n*,a @;:&f[lX4@+0/(*L<.Pi2lW@n@cHXWDE*8Zt@@{<,@fF/E<L@&3*&7l4@+:f5i(h4:pD@adau*t+(i>D(@Jt@D~x)l4@ a0/2+bc /A3C/I7Wab*,+0cn@F<n:V]*8h4iiAl]@:;ff;@X,ib:57Wf@*,a/Iiu3*,aba0@+S4ibl4@i(ZLX4@*ta|/viu3C@cwXWD2*8Z]@@4:7]<kl4@+f5lW*4/2f@ *,aPV]*]ivlwX.:5Zs3f5l4@ce@C:57W<w:;f[iAh4:&D4@a0a0*,+~iKD2@JW@&D(x-:Ff[lHX4:+(i~/(f/2X4:7,i/A3/I74ab*4+bc{@&<:5V4*,h,iWlW@+X.:5Z]*taba/I7 iAlW@wf5h4+d+0@7,iXW@+/2*4<.x)lW/23C<,@&3/Er&7 :FD(D2*,3hW3iu*Ã:57W:FDZLL@i2lW@w:i2ib+0:f5ib/2*&7*,a"@:FflX4:[ZÃ35f[l]@ce@w*87. ¶.
(32) @ :FfleiEZ]X4@*,a@ceXWD2*8ZW@;@:7W<{/iu3 /EceX4:;fi*&7kiAl4@@aba0*,+~i|D(@5JW@&DI3xe):5VDI@¨e<W/23XWDE:5Z]3>iAl4@74@5iX.:5ZW*,aba03 :F33*,f&/I:iA@<n/qiAl@:Ff5lDE@5JW@DP*,a@;adau*t+(i|/E7niAl]@J4:+0/2:VWD2@X4:Zj36fl4@cs@]Libl4@74@iX4:Z]*,ada03/I7ni(l]@a0/qz@< X4:5ZH35f[l@5cn@ :+@>iAlW@3:ce@ :3i2lW*436@C<4/23XWD2:[Zt@<w/27w):5VWD2@¦x " !$# (!0)$+"*. *1 Ä:FD(a*,aiblW@3@33/2*87]3l4:5JW@V4@;@7+bh47n/qiAlni2lW@»K/vzt@<:r4@iA+@:iAce@7,i|/IcwXWD2@c{@7&i0@;<n/I7ni2lW@au/E+03i ¶XW@+/E*L<43Î:;74<ibl4@"=@[74hiA+@:iAce@7,i/27iAl4@3}h4VW3@ &hW@[7&i¶X4@+/(*L<,35:74<l4:&DIaP/27w+S@5JW@+035@<*4+0<,@+Sx B"*&7W35/I<4@+P7W*,gi2lW@ X4:+(ib7]@+ce:5i0f5lW/I74rwf*&74<W/ i0/2*&7PxÅb7{f*87,iu+d:F3}iiA*i(l]@ce:+b1W@[ifF*874<W/qi0/2*87W,au/(+bc{3:74< @cHXWDE*8Zt@@F3>:F+0@l]@+S@ce:[iuf5lW@<e:[ii2lW@CV]@rW/q747W/I74re*,aPibl]@3@353/2*87wiu*kab*4+bc!X4:&/I+3i(l4:5i+0@ce:&/I7{/v7,iu:;fi iAlW+0*8hWr8l]*,h8ii(l]@3@F335/I*,7Px_)l]@a0/v+0c /(3/I7Wab*4+bcn@F<ad+*tcÓiAl4@3}ib:;+bi:V]*8h4iCi2lW@314/ADEDD@FJ]@D *4a/qi03 @cHXWDE*8Zt@@&x)lW@iA+S@;:iAce@7,i03tiAl4@XW:5Z4*4aba"aAh47Pfi0/I*,7W3 :74<ab@&@;<8VW:;f1/q74a0*,+dce:5i0/A*87:;+S@i2lW@w36:ce@w:F3 /I7iAl4@*]ivlW@+f*&74<W/i~/I*,7Px)lW@X4:;+bi(7W@;+ce:5i0f5lW/I74rf*87]<./ i~/(*&7w:3$/vcHXWDE@ce@57,i0@;<w/I7iAl4+0@@3@&3635/I*,7W3x
(33)
(34) . À/qJ@57 i2lW@:&33h,cHX,i0/2*87W3*,a+0:[i~/(*,74:&D2/vi2Z:74< 3@D2a0/E3lL74@&3635i2lW@X.+0@F<4/Ef5i0/I*,7]3*,anibl]@gr,:;ce@Y:+0@ 3Sib+b:&/Ir4l,ibau*,+d:F+0<.xwÅ07kiAlW@ce:;+d1]@[if;*87W<4/Iib/2*&7P4/I7kivlW@»/Çz@<wg:;rW@iA+S@:;i(cs@7,i0,:5ii(lW@36@&f;*87W<e3}iu:rL@& :;7,Z@cwXWD2*8Z4@F@k3Sl]*,hWDE<nX4+*8JW/2<L@ ! #" $ ·Px ¦Cl4:iu@[J]@+lW@p+iEZ]X4@w:;7W< /I+0+0@83SXW@;f[i0/IJ]@k*,aibl]@k:rL@ f;*874iA+d:FfiA@<wh,X]*,7Px¾H*e@cwXDI*,Z4@;@ClW:3":;7/q7Wf;@[74iu/vJ]@Cib*ef5lW*,*43@:lW/Er&lW@+DA@[J]@&D.*,a|@adau*.+(i35/I7Wf;@ClP@+ f;*43i/I7Wf+0@:&36@&3C/²7ni(l]@@aba0*,+bi|D(@[Jt@8DP:57W<eVW@f:5hW3@3SlW@f;:7{VW@7]@8/qiAl4@+X,h,7/23l]@<k7]*,++S@:F+0<.@;<na0*,+ l]@+w:&f[iAh4:FD@a0ab*,+biSx
(35) )lW@a0/E+bc 3l]*,hWD2<4$iAl]@+S@;a0*,+S@ *4a(a0@+H:fF*,7,ib+b:&f[i/viAli(l]@cn/I7W/2cwh4cÏ:r4@ P¦]·s:;74< & % = ' ( ) /27wi2lW@Cab/2+03i3iA:r]@8x ° 74Zs@cwXWD2*8ZW@;@C36l4*8hDI<w:Fff@5X,iPi2l/I3*taba0@;+lW:5i0@[J@+lW@+ i2Z4XW@3/I74f&@C:+0@Sµ6@&f i~/E*&7{f:7wX4+*8JW/2<,@C7W*VW@[i(iA@+:DIi0@+b74:i~/vJW@&xL)lW/E3X4+S@;<./fFiu/2*87{*,hWD2<7]*8ifl4:;74r4@/(a *,+.-,-0/214365798:3<;=>?@/A>CB?EDA1./2F!-6G4-BIHJGK?@/AHL>MFONP>Q?:HJ5?@3H-- R9=/2;SBUTV/W=4XY-,30TVHZ?@BG[X!;/W?0/
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