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时间:2019-07-24
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1、Section9:ReduxAlexisDiamondadiamond@fas.harvard.eduOutlineOverviewofequilibriumconceptssofarExampleofperfectBayesianequilibriumExampleofmonetarypolicy(seehandoutfromlastsection)TheoriesofdelegationTime-consistencyOverviewNashEquilibriumMixed-strategyNashEquilibriumSubgamePerfectEquilibriumBayesian
2、EquilibriumPerfectBayesianEquilibriumKeyTermsEquilibriumpath:anodetonodepathobservedinequilibriumAstrategyofftheequilibriumpathisneverobservedAnybranchonwhichthereispositivesupport(probability)forplayformspartoftheequilibriumpathTheremaybemultipleequilibriumpathsiftherearemultipleequilibriaInNashe
3、quilibrium,thecredibilityofbestresponsesjudgedalongequilibriumpath;offthepath,NEmayincludeincrediblestrategiesInsubgameperfectNE,bestrepliesarejudgedineverysubgameInperfectBayesianequilibrium,bestrepliesjudgedateachinformationsetBeliefs:aprobabilitydistributionforaparticularinformationsetInmixed-s
4、trategyNE,abeliefisaprobabilitydistributionoverthenodesintheotherplayer’sinformationsetInBayesNashequilibrium,abeliefisaprobabilitydistributionoverthenodesinnature’sinformationsetandthecorrespondingtypeofotherplayerInperfectBayesianequilibrium,abeliefisaprobabilitydistributionoverthenodesinone’sow
5、ninformationset.NashEquilibriumAstrategyprofileSisaNashequilibriumifandonlyifeachplayerisaplayingabestresponsetothestrategiesoftheotherplayersAstrategyprofileSisastrictNashequilibriumifandonlyifeachplayer’sstrategyisthesinglebest-responsetothestrategiesoftheotherplayersNotethatthereisnostrategicun
6、certaintyEachplayer’sbeliefaboutanother’sstrategyisconcentratedonactualstrategytheotherplayerusesMixed-StrategyNashEquilibriumAmixed-strategyNashequilibriumisamixed-strategyprofilewherebyeachplayerisplayingabestresponsetotheothers’strategiesConsistsofaprobabilitydistributionoverthesetofstrategies,
7、foreachplayerOfcourse,probabilitydensitymaybe0forsomestrategiesTosolve,lookforamixedstrategyforoneplayerthatmakestheotherplayersindifferentbetweenasubsetoftheirpurestrategiesIfaplayermixesoverasetofstrategies,itm
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