Correlated Equilibria in Nonzero-Sum Stochastic Games
Nonzero-sum stochastic games play an increasing role in studying various dynamic economic models. In most mentioned applications it is assumed that the state spaces of the games are uncountable. For a broad discussion on these topics we refer the reader to ,  and their references. The aim of this presentation is to report some correlated and/or Nash equilibrium theorems for a large class of nonzero-sum stochastic games with a continuum of states contained in , , and .
Unable to display preview. Download preview PDF.
- DUFFIE, D., GEANAKOPLOS, J., MAS-COLELL, A., and McLENNAN, A.(1988). Stationary Markov Equilibria. Technical Report, Dept. Economics, Harvard University.Google Scholar
- DUTTA, P.K. and SUNDARAM, R. (1992). Markovian Equilibrium in a Class of Stochastic Games: Existence Theorems for Discounted and Undiscounted Models. Economic Theory 2.Google Scholar
- FEDERGRUEN, A.(1978). On N-Person Stochastic Games with Denumerable State Space. Adv. Appl. Probab. 10, 452–471.Google Scholar
- FORGES, F.(1986). An Approach to Communication Equilibria. Econometrica 54, 1375–1385.Google Scholar
- HIMMELBERG, C.J., PARTHASARATHY, T., RAGHAVAN, T.E.S., VAN VLECK, F.S. (1976). Existence of p-Equilibrium and Optimal Stationary Strategies in Stochastic Games. Proc. Amer. Math. Soc. 60, 245–251.Google Scholar
- HORDIJK, A. (1977). Dynamic Programming and Markov Potential Theory. Math. Centre Tracts 51, Math. Centrum, Amsterdam.Google Scholar
- MERTENS, J.-F., and PARTHASARATHY, T. (1987). Equilibria for Discounted Stochastic Games. CORE Discussion Paper No. 8750, Universite Catholique de Louvain.Google Scholar
- NOWAK, A.S. (1992). Zero-Sum Average Payoff Stochastic Games with General State Space. Games and Economic Behavior (forthcoming).Google Scholar
- NOWAK, A.S. (1992). Stationary Equilibria for Non-Zero-Sum Average Payoff Ergodic Stochastic Games with General State Space. Technical Report, Institute of Mathematics, Techn. University of Wroclaw.Google Scholar