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A Note on Zero-Sum Two-Person Undiscounted One Player Control Semi-Markov Games

Author

Listed:
  • Prasenjit Mondal

    (Mathematics Department, Government General Degree, College at Ranibandh Bankura 722135, India)

Abstract

Zero-sum two-person finite undiscounted (limiting ratio average) semi-Markov games are considered where both the transition probabilities and the transition times are controlled by a fixed player in all states. We prove that, if such a game is unichain, the value and optimal stationary strategies of the players can be obtained from an optimal solution of the linear programming algorithm for the associated one player control stochastic game using a data transformation method. An example is provided for such class of games.

Suggested Citation

  • Prasenjit Mondal, 2024. "A Note on Zero-Sum Two-Person Undiscounted One Player Control Semi-Markov Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 26(03), pages 1-9, September.
    • Handle: RePEc:wsi:igtrxx:v:26:y:2024:i:03:n:s0219198924500051
    DOI: 10.1142/S0219198924500051
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