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Automation and Remote Control

, Volume 78, Issue 9, pp 1693–1708 | Cite as

On a game with perfect information and time-claiming alternatives

Mathematical Game Theory and Applications
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Abstract

This paper considers a new model of multistage games with perfect information in which players can control decision-making time. At each stage of the game, players choose a certain alternative from a finite set of basic alternatives and also time necessary to realize this basic alternative. The payoffs of players depend on the game path defined by the chosen alternatives and also on the time to realize this path at each stage. We use the subgame-perfect ε-Nash equilibrium as the optimality principle of the model. This paper is a continuation of the earlier research [5].

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References

  1. 1.
    Bellman, R., Dynamic Programming, Princeton: Princeton Univ. Press, 1957.MATHGoogle Scholar
  2. 2.
    Kuhn, H., Extensive Games and Problems of Information, in Contributions to the Theory of Games, vol. 2, Kuhn, H. and Tucker, A., Eds., Princeton: Princeton Univ. Press, 1953, pp. 217–243.Google Scholar
  3. 3.
    Nash, J., Non-cooperative Games, Ann. Math., 1998, vol. 54, pp. 284–295.MathSciNetGoogle Scholar
  4. 4.
    Papayoanou, P., Game Theory of Business: A Primer in Strategic Gaming, Sugar Land: Probalistic Publishing, 2010.Google Scholar
  5. 5.
    Petrosian, O. and Babadzhanjanz, L., Multistage GameModel with Time-claiming Alternatives, Contrib. Game Theory. Manage., 2015, vol. 8, pp. 252–267.Google Scholar
  6. 6.
    Petrosyan, L. and Zenkevich, N., Game Theory, Singapore: World Scientific, 1996.CrossRefMATHGoogle Scholar
  7. 7.
    Reinhard, S., Multistage Game Models and Delay Supergames, Theory Decis., 1998, vol. 44, pp. 1–36.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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