a course in game theory -- solution manual; martin j osborne, ariel rubenstein (mit press, 1994)

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1、SolutionManualforACourseinGameTheorySolutionManualforACourseinGameTheorybyMartinJ.OsborneandArielRubinsteinMartinJ.OsborneArielRubinsteinwiththeassistanceofWulongGuTheMITPressCambridge,MassachusettsLondon,EnglandCopyrightc1994MartinJ.OsborneandArielRubinsteinAllrightsreserved.Nopartofthisbookmay

2、bereproducedinanyformbyanyelectronicormechanicalmeans(includingphotocopying,recording,orinformationstorageandretrieval)withoutpermissioninwritingfromtheauthors.Thismanualwastypesetbytheauthors,whoaregreatlyindebtedtoDonaldKnuth(thecreatorofTEX),LeslieLamport(thecreatorofLATEX),andEberhardMattes(

3、thecreatorofemTEX)forgenerouslyputtingsuperlativesoftwareinthepublicdomain,andtoEdSznyterforprovidingcriticalhelpwiththemacrosweusetoexecuteournumberingscheme.Version1.2,2005/1/17ContentsPrefaceix2NashEquilibrium1Exercise18.2(Firstpriceauction)1Exercise18.3(Secondpriceauction)1Exercise18.5(Warof

4、attrition)2Exercise19.1(Locationgame)2Exercise20.2(NecessityofconditionsinKakutani’stheorem)3Exercise20.4(Symmetricgames)3Exercise24.1(Increasingpayoffsinstrictlycompetitivegame)3Exercise27.2(BoSwithimperfectinformation)4Exercise28.1(Exchangegame)4Exercise28.2(Moreinformationmayhurt)43Mixed,Corre

5、lated,andEvolutionaryEquilibrium7Exercise35.1(Guesstheaverage)7Exercise35.2(Investmentrace)7Exercise36.1(Guessingright)8Exercise36.2(Airstrike)8Exercise36.3(Technicalresultonconvexsets)9Exercise42.1(ExamplesofHarsanyi’spurification)9Exercise48.1(Exampleofcorrelatedequilibrium)10Exercise51.1(Exist

6、enceofESSin2×2game)104RationalizabilityandIteratedEliminationofDominatedActions11Exercise56.3(Exampleofrationalizableactions)11Exercise56.4(Cournotduopoly)11Exercise56.5(Guesstheaverage)11Exercise57.1(Modifiedrationalizabilityinlocationgame)11Exercise63.1(Iteratedeliminationinlocationgame)12Exerc

7、ise63.2(Dominancesolvability)12Exercise64.1(Announcingnumbers)12Exercise64.2(Non-weaklydominatedactionasbestresponse)125KnowledgeandEquilibrium13viContentsExercise69.1(Exampleofinformationfunction)13Exercise69.2(Rememberingn