He, Wei and Sun, Yeneng (2013): Stationary Markov Perfect Equilibria in Discounted Stochastic Games.
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Abstract
The existence of stationary Markov perfect equilibria in stochastic games is shown in several contexts under a general condition called "coarser transition kernels". These results include various earlier existence results on correlated equilibria, noisy stochastic games, stochastic games with mixtures of constant transition kernels as special cases. The minimality of the condition is illustrated. The results here also shed some new light on a recent example on the nonexistence of stationary equilibrium. The proofs are remarkably simple via establishing a new connection between stochastic games and conditional expectations of correspondences.
Item Type: | MPRA Paper |
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Original Title: | Stationary Markov Perfect Equilibria in Discounted Stochastic Games |
Language: | English |
Keywords: | Stochastic game, stationary Markov perfect equilibrium, equilibrium existence, coarser transition kernel |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games ; Evolutionary Games ; Repeated Games |
Item ID: | 51274 |
Depositing User: | Mr Wei He |
Date Deposited: | 08 Nov 2013 14:41 |
Last Modified: | 01 Oct 2019 05:56 |
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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/51274 |