國外博弈論課件lecture(16)(已修改)
2025-10-26 13:58 本頁面
【正文】 June 12, 2021 73347 Game TheoryLecture 17 1 Dynamic Games of Complete Information Dynamic Games of Complete and Imperfect Information June 12, 2021 73347 Game TheoryLecture 17 2 Outline of dynamic games of plete information ? Dynamic games of plete information ? Extensiveform representation ? Dynamic games of plete and perfect information ? Game tree ? Subgameperfect Nash equilibrium ? Backward induction ? Applications ? Dynamic games of plete and imperfect information ? More applications ? Repeated games June 12, 2021 73347 Game TheoryLecture 17 3 Today’s Agenda ? Review of previous class ? Bank runs ( of Gibbons) ? Tariffs and imperfect international petition ( of Gibbons) June 12, 2021 73347 Game TheoryLecture 17 4 Dynamic (or sequentialmove) games of plete information ? A set of players ? Who moves when and what action choices are available? ? What do players know when they move? ?Players’ payoffs are determined by their choices. ? All these are mon knowledge among the players. June 12, 2021 73347 Game TheoryLecture 17 5 Dynamic games of plete information ? Perfect information ? A player knows Who has made What choices when she has an opportunity to make a choice ? Imperfect information ? A player may not know exactly Who has made What choices when she has an opportunity to make a choice. June 12, 2021 73347 Game TheoryLecture 17 6 Information set ? Gibbons’ definition: An information set for a player is a collection of nodes satisfying: ? the player has the move at every node in the information set, and ? when the play of the game reaches a node in the information set, the player with the move does not know which node in the information set has (or has not) been reached. ? All the nodes in an information set belong to the same player ? The player must have the same set of feasible actions at each node in the information set. June 12, 2021 73347 Game TheoryLecture 17 7 Information set: illustration Player 1 L R Player 2 L’ R’ 2, 2, 3 Player 2 L’ R’ 3 L” R” 3 L” R” 3 L” R” 3 L” R” 1, 2, 0 3, 1, 2 2, 2, 1 2, 2, 1 0, 1, 1 1, 1, 2 1, 1, 1 an information set
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