Dynamic game model with strategic element on cooperation and confront

The key characteristic of the game model in this paper is that each player, before making a choice, informs other players by declaring he will cooperate or play individually, and the decision to cooperate or not will be strategic element of player. The optimal trajectory of game in finite extensive form with the simple coalitional structure is constructed and the algorithm of value of game for this sort of game is given in this paper.

[1]  J. Nash Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Eric van Damme,et al.  Non-Cooperative Games , 2000 .

[3]  E. Vandamme Stability and perfection of nash equilibria , 1987 .

[4]  E. Kohlberg On the Nucleolus of a Characteristic Function Game , 1971 .