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Feb3Lecture - More on Extensive Form Games Histories and...

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More on Extensive Form Games
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Histories and subhistories A terminal history is a listing of every play in a possible course of the game, all the way to the end. A proper subhistory is a listing of every play in the course of the game up to some point before the end. Every proper subhistory induces a game, called a subgame which is defined by the remaining possibilities for play and resulting payoffs.
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Proper Subgames For any proper subhistory, there is a well- defined extensive form game that follows this subhistory. A subgame following any non-empty proper subhistory is called a proper subgame.
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Subgame perfect Nash Equilibrium A strategy specifies what each person will do at any possible point in the game where it is his turn. A strategy profile (i.e. list of strategies chosen by each player) then determines the course of play in every possible subgame. A subgame perfect Nash equilibrium (SPNE) is a strategy profile such that each
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Berlin or Havana? Prob 156.2 c
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