On multi-team games

In this paper, we generalize convex static multi-team games to both non-convex and dynamic games. Multi-team dynamic Cournot, Hawk–Dove and Prisoner's Dilemma games are investigated. Puu's incomplete information dynamical systems are modified and applied to Cournot game.

[1]  H. Young,et al.  The Evolution of Conventions , 1993 .

[2]  Yong Liu,et al.  Noninferior Nash strategies for routing control in parallel-link communication networks , 2005, Second IEEE Consumer Communications and Networking Conference, 2005. CCNC. 2005.

[3]  Tönu Puu,et al.  Chaos in duopoly pricing , 1991 .

[4]  Robert Gibbons,et al.  A primer in game theory , 1992 .

[5]  J. Crutchfield,et al.  Coupled replicator equations for the dynamics of learning in multiagent systems. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  J M Smith,et al.  Evolution and the theory of games , 1976 .

[7]  Elsayed Ahmed,et al.  On discrete dynamical systems associated to games , 1999, Adv. Complex Syst..

[8]  S. Smale.  The Prisoner's Dilemma and Dynamical Systems Associated to Non-Cooperative Games , 1980 .

[9]  Victor Polterovich.  Rationing, Queues, and Black Markets , 1993 .

[10]  SATO–CRUTCHFIELD EQUATION FOR POPULATION GENETICS , 2005 .

[11]  Elsayed Ahmed,et al.  On some variants of prisoner's dilemma dynamics , 2005, Appl. Math. Comput..

[12]  Richard S. Sutton,et al.  Reinforcement Learning: An Introduction , 1998, IEEE Trans. Neural Networks.

[13]  Lotfi A. Zadeh,et al.  Optimality and non-scalar-valued performance criteria , 1963 .

[14]  M. Simaan,et al.  Noninferior Nash Strategies for Multi-Team Systems , 2004 .

[15]  Elsayed Ahmed,et al.  SATO–CRUTCHFIELD FORMULATION FOR SOME EVOLUTIONARY GAMES , 2003 .

[16]  Josef Hofbauer,et al.  Evolutionary Games and Population Dynamics , 1998 .

[17]  R. Rob,et al.  Learning, Mutation, and Long Run Equilibria in Games , 1993 .

[18]  Tönu Puu,et al.  The chaotic monopolist , 1995 .

[19]  Yong Liu,et al.  Non-inferior Nash strategies for routing control in parallel-link communication networks: Research Articles , 2005 .