Absorbing Team Games

Abstract A team is a group of people having the same motives but possibly different available actions. A team game is a game where two teams face each other. An absorbing game is a repeated game where some of the entries are absorbing, in the sense that once they are chosen the play terminates, and all future payoffs are equal to the payoff at the stage of termination. We prove that every absorbing team game has an equilibrium payoff and that there are e-equilibrium profiles with cyclic structure. Journal of Economic Literature Classification Numbers: C72, C73.

[1]  Ido Erev,et al.  The Effect of Repeated Play in the IPG and IPD Team Games , 1994 .

[2]  B. Stengel,et al.  Team-Maxmin Equilibria☆ , 1997 .

[3]  Eyal Winter,et al.  Experimental study of repeated team-games , 1996 .

[4]  E. Kohlberg.  Repeated Games with Absorbing States , 1974 .

[5]  Thomas R. Palfrey,et al.  A strategic calculus of voting , 1983 .

[6]  Wei Shi Lim,et al.  A rendezvous-evasion game on discrete locations with joint randomization , 1997, Advances in Applied Probability.

[7]  Steve Alpern,et al.  The Symmetric Rendezvous-Evasion Game , 1998 .

[8]  Sylvain Sorin,et al.  Equilibria in repeated games of incomplete information: The general symmetric case , 1998, Int. J. Game Theory.

[9]  A. Neyman,et al.  Stochastic games , 1981 .

[10]  János Flesch,et al.  Cyclic Markov equilibria in stochastic games , 1997, Int. J. Game Theory.

[11]  T. Raghavan,et al.  Perfect information stochastic games and related classes , 1997 .

[12]  R. Radner,et al.  Economic theory of teams , 1972 .

[13]  Tamer Basar,et al.  The theory of teams: A selective annotated bibliography , 1989 .

[14]  Shmuel Zamir,et al.  Cooperation in Intergroup, N-Person, and Two-Person Games of Chicken , 1997 .

[15]  O. J. Vrieze,et al.  On equilibria in repeated games with absorbing states , 1989 .

[16]  D. Blackwell,et al.  THE BIG MATCH , 1968, Classics in Game Theory.

[17]  Nicolas Vieille,et al.  Quitting Games , 2001, Math. Oper. Res..

[18]  M. J. Sobel.  Noncooperative Stochastic Games , 1971 .

[19]  A. Federgruen.  On N-person stochastic games by denumerable state space , 1978, Advances in Applied Probability.

[20]  Elon Kohlberg,et al.  Repeated Games of Incomplete Information: The Symmetric Case , 1974 .

[21]  Tamer Basar,et al.  Differential Games and Applications , 1989 .