资源描述：
《Myerson 1979 - Incentive compatibility and the bargaining problem文稿.pdf》由会员上传分享，免费在线阅读，更多相关内容在应用文档-天天文库。
1、Econometrica,Vol.47,No.1(January,1979)INCENTIVECOMPATIBILITYANDTHEBARGAININGPROBLEMBYROGERB.MYERSONCollectivechoiceproblemsarestudiedfromtheBayesianviewpoint.Itisshownthatthesetofexpectedutilityallocationswhicharefeasiblewithincentive-compatiblemechanismsiscompactandconvex,andincludesth
2、eequilibriumallocationsforallothermechanisms.ThegeneralizedNashsolutionproposedbyHarsanyiandSeltenisthenappliedtothissettodefineabargainingsolutionforBayesiancollectivechoiceproblems.1.INTRODUCTIONINTHISPAPERwewillconsidertheproblemofanarbitratortryingtoselectacollectivechoiceforagroupo
3、findividualswhenhedoesnothavecompleteinformationabouttheirpreferencesandendowments.Notonlydoesthisarbitra-torhavetoworryaboutsettlingfairlytheconflictingdesiresofthegroup'sdiversemembers,buthehastogetthemtotellhimwhattheirpreferencesareinthefirstplace.Ofcourse,hemayaskhisclientstotellhi
4、mwhatheneedstoknow;butifhecannotcompeltruthfulbehaviorthenhemustanticipatethatsomegroupmembersmaylietohiminanattempttomanipulatehisultimatedecision.Ourgoalinthispaperwillbetodevelopauniquesolutiontothisarbitrator'sproblem,basedonHurwicz'sconceptofincentive-compatibility[6]andNash'sbarga
5、iningsolution[7].Formally,wewilldescribethearbitrator'sproblembyaBayesiancollectivechoiceproblem,anobjectoftheform(1)(C,A1,A2,...,An,U1,U2,...*Um,P),whosecomponentsareinterpretedasfollows.Theindividualmembersofthegroup,orplayers,arenumbered1,2,...,n.Cisthesetofchoicesorstrategiesavailab
6、letothegroup.Foreachplayeri,Aiisthesetofpossibletypesforplayeri.Thatis,eachaieAirepresentsacompletedescriptionofplayeri'srelevantcharacteristics:hispreferences,beliefs,abilities,andendowments.EachUiisautilityfunctionfromCxA1x...xAnintotherealnumberssuchthateachUi(c,a1,a2,..,an)isthepayo
7、ffwhichplayeriwouldgetifcECwerechosenandif(a,,..,an)werethetruevectorofplayertypes.TheseUipayoffnumbersareassumedtobemeasuredintermsofsomevonNeumann-Morgensternutilityscaleforplayeri.Finally,PisaprobabilitydistributiononA1x...xAnsuchthatP(a,...,an)istheprobability,asjudgedbythe
