Conditions for Sustainable Cooperation
Contributions to game theory and management, Tome 2 (2009), pp. 344-354.

Voir la notice de l'article provenant de la source Math-Net.Ru

There are three important aspects which must be taken into account when the problem of stability of long-range cooperative agreements is investigated: time-consistency of the cooperative agreements, strategic stability and irrational behavior proofness. The mathematical results based on imputation distribution procedures (IDP) are developed to deal with the above mentioned aspects of cooperation. We proved that for a special class of differential games time-consistent cooperative agreement can be strategically supported by Nash equilibrium. We also consider an example where all three conditions are satisfied.
Keywords: differential game, cooperative solution, time-consistency of the cooperative agreements, payoff distribution procedures (PDP), imputation distribution procedures (IDP), strategic stability, irrational behavior proofness.
@article{CGTM_2009_2_a27,
     author = {Leon A. Petrosyan and Nikolay A. Zenkevich},
     title = {Conditions for {Sustainable} {Cooperation}},
     journal = {Contributions to game theory and management},
     pages = {344--354},
     publisher = {mathdoc},
     volume = {2},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2009_2_a27/}
}
TY  - JOUR
AU  - Leon A. Petrosyan
AU  - Nikolay A. Zenkevich
TI  - Conditions for Sustainable Cooperation
JO  - Contributions to game theory and management
PY  - 2009
SP  - 344
EP  - 354
VL  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2009_2_a27/
LA  - en
ID  - CGTM_2009_2_a27
ER  - 
%0 Journal Article
%A Leon A. Petrosyan
%A Nikolay A. Zenkevich
%T Conditions for Sustainable Cooperation
%J Contributions to game theory and management
%D 2009
%P 344-354
%V 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2009_2_a27/
%G en
%F CGTM_2009_2_a27
Leon A. Petrosyan; Nikolay A. Zenkevich. Conditions for Sustainable Cooperation. Contributions to game theory and management, Tome 2 (2009), pp. 344-354. http://geodesic.mathdoc.fr/item/CGTM_2009_2_a27/

[1] Neumann J., Morgenstern J., Theory of Games and Economic Behavior, Princeton, 1947

[2] Petrosjan L., Differential Games of Pursuit, World Scientific, Singapore, 1993 | MR

[3] Nash J., “Non-cooperative games”, Ann. Mathematics, 54 (1951), 286–295 | DOI | MR | Zbl

[4] Kuhn H. W., “Extensive games and the problem of imputation”, Contributions to the Theory of Games, v. II, eds. H. W. Kuhn, A. W. Tucker, Princeton University Press, Princeton, 1953, 193–216 | MR

[5] Shapley L. S., “A Value for $n$-Person Games”, Contributions to the Theory of Games, eds. H. W. Kuhn, A. W. Tucker, Princeton University Press, Princeton, 1953, 307–315 | MR

[6] Yeung D. W. K., “An irrational-behavior-proofness condition in cooperative differential games”, Int. J. of Game Theory Rev., 9 (2007), 256–273 | MR