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Nonzero-sum non-stationary discounted Markov game model

Author

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  • Rangcheng Jia
  • Yuanyao Ding

Abstract

The goal of this paper is provide a theory of K-person non-stationary Markov games with unbounded rewards, for a countable state space and action spaces. We investigate both the finite and infinite horizon problems. We define the concept of strong Nash equilibrium and present conditions for both problems for which strong Nash or Nash equilibrium strategies exist for all players within the Markov strategies, and show that the rewards in equilibrium satisfy the optimality equations. Copyright Springer-Verlag Berlin Heidelberg 2000

Suggested Citation

  • Rangcheng Jia & Yuanyao Ding, 2000. "Nonzero-sum non-stationary discounted Markov game model," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(2), pages 265-270, November.
    • Handle: RePEc:spr:mathme:v:52:y:2000:i:2:p:265-270
    DOI: 10.1007/s001860000074
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