A Time-Consistent solution Formula for bargaining Problem in differential Games

This paper presents a solution formula for the payoff distribution procedure of a bargaining problem in cooperative differential game that would lead to a time consistent outcome. In particular, individual rationality is satisfied for every player throughout the cooperation period.

[1]  Gu Yan-hong.  Two-Person Cooperative Games on Makespan Scheduling , 2011 .

[2]  Leon A. Petrosyan,et al.  Subgame Consistent Cooperative Solutions in Stochastic Differential Games , 2004 .

[3]  George Leitmann.  Cooperative and Non-Cooperative Differential Games , 1975 .

[4]  George Leitmann,et al.  Cooperative and Non-Cooperative Many Players Differential Games , 1974, International Centre for Mechanical Sciences.

[5]  David W. K. Yeung,et al.  Cooperative Stochastic Differential Games , 2005 .

[6]  Alain Haurie.  A note on nonzero-sum differential games with bargaining solution , 1976 .

[7]  J. Nash.  THE BARGAINING PROBLEM , 1950, Classics in Game Theory.

[8]  Philip Wolfe,et al.  Contributions to the theory of games , 1953 .

[9]  Leon A. Petrosyan,et al.  Subgame Consistent Solutions of a Cooperative Stochastic Differential Game with Nontransferable Payoffs , 2005 .

[10]  Rp Hamalainen,et al.  Equilibria and threats in a fishery management game , 1983 .

[11]  Leon A. Petrosyan,et al.  Subgame Consistent Solutions for a Class of Cooperative Stochastic Differential Games with Nontransferable Payoffs , 2007 .

[12]  Leon A. Petrosyan,et al.  Subgame Consistent Solutions for Cooperative Stochastic Dynamic Games , 2010 .

[13]  J. Nash.  Two-Person Cooperative Games , 1953 .

[14]  J. Neumann,et al.  The Theory of Games and Economic Behaviour , 1944 .

[15]  R. Bellman.  Dynamic programming. , 1957, Science.

[16]  David W. K. Yeung.  Technical Note: Nontransferable Individual Payoffs in Cooperative Stochastic differential Games , 2004, IGTR.