The D.W.K. Yeung Condition for Cooperative Differential Games with Nontransferable Payoffs

Authors

  • Anna V. Belitskaia Saint Petersburg State University

Abstract

Irrational behavior proof condition for single player was introduced in Yeung, 2006. The irrational behavior implies the dissolution of cooperative scheme. The condition under which even if irrational behaviors appear later in the game the concerned player would still be performing better under the cooperative scheme was considered in Yeung, 2006. In this paper the differential game with transferable payoffs was considered. In this paper the irrational behavior proof condition for differential games with nontransferable payoffs is proposed.

Keywords:

Pareto-Optimality, Time-consistency, Payoff Distribution Procedure

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References

Petrosjan, L.A. (1997). The Time-Consistency Problem in Nonlinear Dynamics. RBCM-J. of Brazilian Soc. of Mechanical Sciences, Vol. XIX, No 2. pp. 291–303.

Yeung, D.W.K. (2006). An irrational-behavior-proofness condition in cooperative differential games. Intern. J. of Game Theory Rew., 8, 739–744.

David W.K. Yeung, Leon A. Petrosyan (2006). Cooperative Stochastic Differential Games. Springer Science+Business Media, Inc., P. 242.

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Published

2023-01-25

How to Cite

Belitskaia, A. V. (2023). The D.W.K. Yeung Condition for Cooperative Differential Games with Nontransferable Payoffs. Contributions to Game Theory and Management, 5, 45–50. Retrieved from https://gametheory.spbu.ru/article/view/14301

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