Stay-in-a-set games

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Article ID:	iaor2003682
Country:	Germany
Volume:	30
Issue:	4
Start Page Number:	479
End Page Number:	490
Publication Date:	Jan 2001
Journal:	International Journal of Game Theory
Authors:	Secchi P., Sudderth W.D.
Keywords:	Nash theory and methods

Abstract:

There exists a Nash equilibrium (ϵ-Nash equilibrium) for every n-person stochastic game with a finite (countable) state space and finite action sets for the players if the payoff to each player i is one when the process of states remains in a given set of states Gi and is zero otherwise.

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