论文信息 - Static and Dynamic Equilibria in Games With Continuum of Players

Static and Dynamic Equilibria in Games With Continuum of Players

This paper is a study of a general class of deterministic dynamic games with an atomless measure space of players and an arbitrary time space. The payoffs of the players depend on their own strategy, a trajectory of the system and a function with values being finite dimensional statistics of static profiles. The players' available decisions depend on trajectories of the system.The paper deals with relations between static and dynamic open-loop equilibria as well as their existence. An equivalence theorem is proven and theorems on the existence of a dynamic equilibrium are shown as consequences.

Agnieszka Wiszniewska-Matyszkiel

[1] A. Mas-Colell. On a theorem of Schmeidler , 1984 .

[2] Agnieszka Wiszniewska-Matyszkiel. Discrete Time Dynamic Games with a continuum of Players I: Decomposable Games , 2002, IGTR.

[3] Andrzej Wieczorek,et al. A game-theoretic model of social adaptation in an infinite population , 1999 .

[4] S. J. Leese. Measurable Selections and the Uniformization of Souslin Sets , 1978 .

[5] C. Ryll-Nardzewski,et al. Projections in abstract sets , 1953 .

[6] R. Aumann. INTEGRALS OF SET-VALUED FUNCTIONS , 1965 .

[7] Martin Shubik,et al. Construction of Stationary Markov Equilibria in a Strategic Market Game , 1994, Math. Oper. Res..

[8] Agnieszka Wiszniewska-Matyszkiel. "The Tragedy of the Commons" Modelled by Large Games , 2001 .

[9] Existence of pure equilibria in games with nonatomic space of players , 2000 .

[10] Erik J. Balder,et al. A unifying approach to existence of nash equilibria , 1995 .

[11] Andrzej Wieczorek,et al. The Kakutani property and the fixed point property of topological spaces with abstract convexity , 1992 .

[12] D. Schmeidler. Equilibrium points of nonatomic games , 1973 .