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The D. W. K. Yeung Condition for Cooperative Differential Games with Nontransferable Payoffs
Contributions to game theory and management, Tome 5 (2012), pp. 45-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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Anna V. Belitskaia. The D. W. K. Yeung Condition for Cooperative Differential Games with Nontransferable Payoffs. Contributions to game theory and management, Tome 5 (2012), pp. 45-50. http://geodesic.mathdoc.fr/item/CGTM_2012_5_a4/

[1] Petrosjan L. A., “The Time-Consistency Problem in Nonlinear Dynamics”, RBCM — J. of Brazilian Soc. of Mechanical Sciences, XIX:2 (1997), 291–303

[2] Yeung D. W. K., “An irrational-behavior-proofness condition in cooperative differential games”, Intern. J. of Game Theory Rew., 8 (2006), 739–744 | DOI | MR | Zbl

[3] David W. K. Yeung, Leon A. Petrosyan, Cooperative Stochastic Differential Games, Springer Science+Business Media, Inc., 2006, 242 pp. | MR

[4] Petrosyan L., Zaccour G., “Time-consistent Shapley value allocation of pollution cost reduction”, Journal of Economic Dynamics and Control, 27 (2003), 381–398 | DOI | MR

[5] Petrosjan L. A., “Cooperation in differential games”, Conference Book of the XV Italian Meeting on Game Theory and Applications, 2003

[6] Petrosyan L. A., Zenkevich N. A., “Time-consistency of cooperative solutions in management”, Game theory and applications, Nova Science Publ., N.Y., 2008

[7] Haurie A., Zaccour G., “Differential game models of global environment management”, Annals of the International Society of Dynamic Games, 1995, 3–24 | MR

[8] Kaitala V., Pohjola M., “Sustainable international agreements on green house warming: a game theory study”, Annals of the International Society of Dynamic Games, 1995, 67–88 | MR

[9] Dockner E. J., Jorgensen S., van Long N., Sorger G., Differential Games in Economics and Management Science, Cambridge University Press, 2000, 41–85 | MR