Abstract
In this paper we deal with limiting average stochastic games with finite state and action spaces. For any nonzero-sum stochastic game of this type, there exists a subset of initial states for which an almost stationary ∈-equilibrium exists. For any zero-sum stochastic game there exists for each player a subset of initial states for which this player has an optimal stationary strategy.
Support was provided by the Netherlands Foundation for Mathematics SMC with financial support by the Netherlands Organization for Scientific Research NWO (project 10-64-10).
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© 1991 Springer Science+Business Media Dordrecht
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Thuijsman, F., Vrieze, O.J. (1991). Easy Initial States in Stochastic Games. In: Raghavan, T.E.S., Ferguson, T.S., Parthasarathy, T., Vrieze, O.J. (eds) Stochastic Games And Related Topics. Theory and Decision Library, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3760-7_8
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DOI: https://doi.org/10.1007/978-94-011-3760-7_8
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