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On symmetric stochastic games of resource extraction with weakly continuous transitions

Author

Listed:
  • Anna Jaśkiewicz

    (Wrocław University of Science and Technology)

  • Andrzej S. Nowak

    (University of Zielona Góra)

Abstract

We study stochastic games of resource extraction, in which the players have identical preferences. The transition probability is either non-atomic or a convex combination of transition probabilities depending on the investment with coefficients also dependent on the investment. Our approach covers the unbounded utility case, which was not examined in this class of games beforehand. We prove the existence of a stationary Markov perfect equilibrium in a non-randomised class of strategies.

Suggested Citation

  • Anna Jaśkiewicz & Andrzej S. Nowak, 2018. "On symmetric stochastic games of resource extraction with weakly continuous transitions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(2), pages 239-256, July.
  • Handle: RePEc:spr:topjnl:v:26:y:2018:i:2:d:10.1007_s11750-017-0465-0
    DOI: 10.1007/s11750-017-0465-0
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    References listed on IDEAS

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    Cited by:

    1. Hubert Asienkiewicz & Łukasz Balbus, 2019. "Existence of Nash equilibria in stochastic games of resource extraction with risk-sensitive players," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(3), pages 502-518, October.

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