國外博弈論課件lecture(16)-預(yù)覽頁
【正文】 is called a game of perfect information. ? A dynamic game in which some information sets contain more than one node is called a game of imperfect information. June 12, 2021 73347 Game TheoryLecture 17 9 Subgameperfect Nash equilibrium ? A Nash equilibrium of a dynamic game is subgameperfect if the strategies of the Nash equilibrium constitute or induce a Nash equilibrium in every subgame of the game. ? A subgame of a game tree ? begins at a singleton information set (an information set containing a single node), and ? includes all the nodes and edges following the singleton information set, and ? does not cut any information set。 s p ay of f is i ts p ro fit: 21222122122211212 )()]([)]([),( etehceheahehaehehtt ?????????? June 12, 2021 73347 Game TheoryLecture 17 19 Tariffs and imperfect international petition Cou nt r y 139。 s p ay of f is i ts t ota l welfar e: su m o f th e con s umers 39。 s objective fu nctio n )2(31)2(31))2(31)(32()2(31)31)(32()(31)31)(32())(2(181112221221121tcattcatttcactcatcaatcatcaatca???????????????????????????? FOC: )(311cat ?? By s y mm etry , we also g et )(312cat ?? June 12, 2021 73347 Game TheoryLecture 17 23 Tariffs and imperfect international petition The subg am e perf ect Na sh equ ilib riu m ????????????????????????????????????????????????????)2(31 )(31 ,)2(31)(31 ),(31 ),(3112222111*2*1tcaetcahtcaetcahcatcat The subg am e perf ect ou t e ????????????????????????????????????????????????)(91)(94 ,)(91)(94 ),(31 ),(31*2*2*1*1*2*1caecahcaecahcatcat June 12, 2021 73347 Game TheoryLecture 17 24 Summary ? Bank runs ( of Gibbons) ? Tariffs and imperfect international petition ( of Gibbons) ? Next time ? Repeated games ? Reading lists ? Sec AB of Gibbons
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