Stochastic Games with Average Payoff Criterion |
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| Authors: | M K Ghosh A Bagchi |
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| Institution: | (1) Department of Mathematics, Indian Institute of Science, Bangalore 560012, India , IN;(2) Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands , NL |
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| Abstract: | We study two-person stochastic games on a Polish state and compact action spaces and with average payoff criterion under
a certain ergodicity condition. For the zero-sum game we establish the existence of a value and stationary optimal strategies
for both players. For the nonzero-sum case the existence of Nash equilibrium in stationary strategies is established under
certain separability conditions.
Accepted 9 January 1997 |
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| Keywords: | , Stochastic game, Stationary strategy, Value, Nash equilibrium,\linebreak[4] Ergodicity AMS Classification, 90D15,,,,,,93E05, 90D25, |
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