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].
Similar content being viewed by others
References
Bellman, R., Dynamic Programming, Princeton: Princeton Univ. Press, 1957.
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.
Nash, J., Non-cooperative Games, Ann. Math., 1998, vol. 54, pp. 284–295.
Papayoanou, P., Game Theory of Business: A Primer in Strategic Gaming, Sugar Land: Probalistic Publishing, 2010.
Petrosian, O. and Babadzhanjanz, L., Multistage GameModel with Time-claiming Alternatives, Contrib. Game Theory. Manage., 2015, vol. 8, pp. 252–267.
Petrosyan, L. and Zenkevich, N., Game Theory, Singapore: World Scientific, 1996.
Reinhard, S., Multistage Game Models and Delay Supergames, Theory Decis., 1998, vol. 44, pp. 1–36.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © O.L. Petrosian, 2015, published in Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, No. 2, pp. 49–68.
Rights and permissions
About this article
Cite this article
Petrosian, O.L. On a game with perfect information and time-claiming alternatives. Autom Remote Control 78, 1693–1708 (2017). https://doi.org/10.1134/S0005117917090132
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117917090132