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Sensitive equilibria for ergodic stochastic games with countable state spaces (1999)

Nowak, Andrzej S.

Springer

Mathematical methods of operations research 50 (1999), S. 65-76

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ISSN: 1432-5217

Keywords: Key words: Stochastic games ; countable state space ; sensitive optimality ; unbounded payoffs

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Economics

Notes: Abstract. We consider stochastic games with countable state spaces and unbounded immediate payoff functions. Our assumptions on the transition structure of the game are based on a recent work by Meyn and Tweedie [19] on computable bounds for geometric convergence rates of Markov chains. The main results in this paper concern the existence of sensitive optimal strategies in some classes of zero-sum stochastic games. By sensitive optimality we mean overtaking or 1-optimality. We also provide a new Nash equilibrium theorem for a class of ergodic nonzero-sum stochastic games with denumerable state spaces.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s001860050035

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