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  • 标题:Multistage game models and delay supergames
  • 本地全文:下载
  • 作者:Reinhard Selten
  • 期刊名称:Revista Universidad EAFIT
  • 印刷版ISSN:0120-341X
  • 出版年度:2012
  • 卷号:31
  • 期号:97
  • 页码:7-27
  • 语种:English
  • 出版社:Universidad EAFIT
  • 摘要:The order of stages in a multistage game is often interpreted by looking at earlier stages as involving more long term decisions. For the purpose of making this interpretation precise, the notion of a delay supergame of a bounded multistage game is introduced. A multistage game is bounded if the length of play has an upper bound. A delay supergame is played over many periods. Decisions on all stages are made simultaneously, but with different delays until they become effective. The earlier the stage the longer the delay. A subgame perfect equilibrium of a bounded multistage game generates a subgame perfect equilibrium in every one of its delay supergames. This is the first main conclusion of the paper. A subgame perfect equilibrium set is a set of subgame perfect equilibria all of which yield the same payoffs, not only in the game as a whole, but also in each of its subgames. The second main conclusion concerns multistage games with a unique subgame perfect equilibrium set and their delay supergames which are bounded in the sense that the number of periods is finite. If a bounded multistage game has a unique subgame perfect equilibrium set, then the same is true for every one of its bounded delay supergames.
  • 关键词:Toma de decisiones;Teoría de los juegos;Modelos
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