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Solvable states in stochastic games

Author

Listed:
  • Nicolas Vieille

    (LSTA - Laboratoire de Statistique Théorique et Appliquée - UPMC - Université Pierre et Marie Curie - Paris 6 - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper deals with undiscounted stochastic games. As in Thuijsman-Vrieze [9], we consider specific states, which we call solvable. The existence of such states in every game is proved in a new way. This proof implies the existence of equilibrium payoffs in stochastic games with at most 3 states. On an example, we relate our work to the construction of Thuijsman and Vrieze.

Suggested Citation

  • Nicolas Vieille, 1993. "Solvable states in stochastic games," Post-Print hal-00481853, HAL.
    • Handle: RePEc:hal:journl:hal-00481853
    DOI: 10.1007/BF01240154
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    Cited by:

    1. J. Flesch & F. Thuijsman & O. J. Vrieze, 2000. "Almost Stationary ∈-Equilibria in Zero-Sum Stochastic Games," Journal of Optimization Theory and Applications, Springer, vol. 105(2), pages 371-389, May.

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    Keywords

    Solvable states; stochastic games;

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