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Stationary equilibria in discounted stochastic games with weakly interacting players

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  • Horst, Ulrich

Abstract

We give sufficient conditions for a non-zero sum discounted stochastic game with compact and convex action spaces and with norm-continuous transition probabilities, but with possibly unbounded state space to have a N ash equilibrium in homogeneous Markov strategies that depends in a Lipsehitz continuous manner on the current state. H the underlying state space is compact this yields the existence of a stationary equilibrium. For a special class of stochastic games which arise in microstructure models for financial markets we establish the existence of equilibria which guarantee that the state sequence converges in distribution to a unique stationary measure.

Suggested Citation

  • Horst, Ulrich, 2002. "Stationary equilibria in discounted stochastic games with weakly interacting players," SFB 373 Discussion Papers 2002,77, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    • Handle: RePEc:zbw:sfb373:200277
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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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