Stochastic games with two non-absorbing states |
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Authors: | Eilon Solan |
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Institution: | (1) MEDS Department, Kellogg Graduate School of Management, Northwestern University, 2001 Sheridan Rd., 60208 Evanston, IL, USA |
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Abstract: | In the present paper we consider recursive games that satisfy an absorbing property defined by Vieille. We give two sufficient
conditions for existence of an equilibrium payoff in such games, and prove that if the game has at most two non-absorbing
states, then at least one of the conditions is satisfied. Using a reduction of Vieille, we conclude that every stochastic
game which has at most two non-absorbing states admits an equilibrium payoff.
This paper is part of the Ph.D. thesis of the author completed under the supervision of Prof. Abraham Neyman at the Hebrew
University of Jerusalem. I would like to thank Prof. Neyman for many discussions and ideas and for the continuous help he
offered. I also thank Nicolas Vieille for his comments on earlier versions of the paper. |
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