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Nonzero-sum semi-Markov games with the expected average payoffs |
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| Authors: | Andrzej S. Nowak Anna Jaśkiewicz |
| Affiliation: | (1) Faculty of Mathematics, Computer Science, and Econometrics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland;(2) Institute of Mathematics, and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland |
| Abstract: | Nonzero-sum ergodic semi-Markov games with Borel state spaces are studied. An equilibrium theorem is proved in the class of correlated stationary strategies using public randomization. Under some additivity assumption concerning the transition probabilities stationary Nash equilibria are also shown to exist.Received: October 2004 / Revised: January 2005 |
| Keywords: | Nonzero-sum semi-Markov game correlated equilibrium Nash equilibrium Borel state space average payoff criteria |
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