repeated games

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1、RepeatedGamesRepeatedGamesPage1??RepeatedGames??Introduction______________________________________________________________________1RepeatingtheStageGame___________________________________________________________2TheSemiextensiveForm____________________________________

2、________________________4Historyandperiod-tstage-gamestrategies_____________________________________________5StrategiesintheRepeatedGame_____________________________________________________6Playingtherepeatedgame________________________________________________________

3、__7PayoffsintheRepeatedGame_______________________________________________________8EquilibriuminRepeatedGames______________________________________________________<9NashEquilibriumintheRepeatedGame______________________________________________<9Subgame-PerfectEquilibr

4、iumintheRepeatedGame_____________________________________<9Asequenceofstage-gameNashequilibriaisarepeated-gamesubgame-perfectequilibrium_________________10Finitely-repeatedgames____________________________________________________________12NashEquilibria_______________

5、__________________________________________________12Ontheequilibriumpaththelastperiodsplaymust8><#004699'>beastage-gameNashequilibrium______________________12Subgame-PerfectEquilibria_______________________________________________________12Subgameperfectionrequirestha

6、tthelastperiodsplay<#004699'>beastage-gameNashequilibriumforeverypossiblehistory_____________________________________________________________________________________________13Auniquestage-gameNashequilibriumpayoffvectorisrepeatedineveryrepeated-gamesubgame-perfectequi

7、librium____________________________________________________________________________________13Example:Atwo-periodrepeatedgame________________________________________________14Asimplepunishmentstructure_____________________________________________________15Equilibriumim

8、plications__________________________________________________________15Subgame-perfectequilibriumpayoffsviaopen-loopstrategyp