A Discounted Stochastic Game with No Stationary Nash Equilibrium
We present an example of a discounted stochastic game with a continuum of states, finitely many players and actions, and deterministic transitions, that possesses no measurable stationary equilibria, or even stationary approximate equilibria. The example is robust to perturbations of the payoffs, the transitions, and the discount factor, and hence gives a strong nonexistence result for stationary equilibria. The example is a game of perfect information, and hence it also does not possess stationary extensive-form correlated equilibrium. Markovian equilibria are also shown not to exist in appropriate perturbations of our example.
|Date of creation:||11 Jan 2012|
|Date of revision:||May 2012|
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- Forges, Francoise M, 1986.
"An Approach to Communication Equilibria,"
Econometric Society, vol. 54(6), pages 1375-85, November.
- Monahan George E. & Sobel Matthew J., 1994. "Stochastic Dynamic Market Share Attraction Games," Games and Economic Behavior, Elsevier, vol. 6(1), pages 130-149, January.
- Maskin, Eric & Tirole, Jean, 2001.
"Markov Perfect Equilibrium: I. Observable Actions,"
Journal of Economic Theory,
Elsevier, vol. 100(2), pages 191-219, October.
- Eric Maskin & Jean Tirole, 1997. "Markov Perfect Equilibrium, I: Observable Actions," Harvard Institute of Economic Research Working Papers 1799, Harvard - Institute of Economic Research.
- Amir, Rabah, 1996.
"Continuous Stochastic Games of Capital Accumulation with Convex Transitions,"
Games and Economic Behavior,
Elsevier, vol. 15(2), pages 111-131, August.
- AMIRÂ , Rabah, 1995. "Continuous Stochastic Games of Capital Accumulation with Convex Transition," CORE Discussion Papers 1995009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, June.
- Chakrabarti, Subir K., 1999. "Markov Equilibria in Discounted Stochastic Games," Journal of Economic Theory, Elsevier, vol. 85(2), pages 294-327, April.
- Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-44, May.
- Nowak, Andrzej S. & Szajowski, Krzysztof, 1998. "Nonzero-sum Stochastic Games," MPRA Paper 19995, University Library of Munich, Germany, revised 1999.
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