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Payoff-Relevant States in Dynamic Games with Infinite Action Spaces

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Author Info
Michael Greinecker ()
Abstract

Maskin and Tirole have defined payoff-relevant states in discrete time dynamic games with observable actions in terms of a partition of the set of histories. Their proof that this partition is unique cannot be applied, when action spaces are infinite or when players are unable to condition on calendar time. This note provides a unified proof of existence and uniqueness for these cases. The method of proof is useful for problems other than the one treated here. To illustrate this, a well known characterization of common knowledge is generalized.

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Paper provided by University of Vienna, Department of Economics in its series Vienna Economics Papers with number 0906.

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Date of creation: Apr 2009
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Handle: RePEc:vie:viennp:0906

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

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This page was last updated on 2009-11-25.

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