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Nonzero-sum semi-Markov games with the expected average payoffs

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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.

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Authors and Affiliations

  1. Faculty of Mathematics, Computer Science, and Econometrics, University of Zielona Góra, Podgórna 50, 65-246, Zielona Góra, Poland

    Andrzej S. Nowak

  2. Institute of Mathematics, and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

    Anna Jaśkiewicz

Authors
  1. Andrzej S. Nowak
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  2. Anna Jaśkiewicz
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Correspondence to Andrzej S. Nowak.

Additional information

Received: October 2004 / Revised: January 2005

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Nowak, A., Jaśkiewicz, A. Nonzero-sum semi-Markov games with the expected average payoffs. Math Meth Oper Res 62, 23–40 (2005). https://doi.org/10.1007/s00186-005-0439-0

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  • DOI: https://doi.org/10.1007/s00186-005-0439-0

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