Showing 1 - 10 of 46
We prove that the Banzhaf value is a unique symmetric solution having the dummy player property, the marginal contribution property introduced by Young (1985) and satisfying a very natural reduction axiom of Lehrer (1988).
Persistent link: https://www.econbiz.de/10005371491
A large class of nonzero-sum symmetric stochastic games of capital accumulation/resource extraction is considered. An iterative method leading to a Nash equilibrium in the infinite horizon game with the discounted evaluation is studied. Copyright Springer-Verlag 2004
Persistent link: https://www.econbiz.de/10010847533
We consider zero-sum stochastic games with Borel state spaces satisfying a generalized geometric ergodicity condition. We prove under fairly general assumptions that the optimality equation has a solution which is unique up to an additive constant. Copyright Springer-Verlag Berlin Heidelberg 2001
Persistent link: https://www.econbiz.de/10010847619
In this paper we study zero-sum stochastic games with Borel state spaces. We make some stochastic stability assumptions on the transition structure of the game which imply the so-called w-uniform geometric ergodicity of Markov chains induced by stationary strategies of the players. Under such...
Persistent link: https://www.econbiz.de/10010847651
Brown [3] constructed an aperiodic Markov decision chain in which no overtaking policy (stationary or nonstationary) exists. However, in his example a strong overtaking optimal policy exists in the class of all stationary policies. We provide another example of an aperiodic and geometric ergodic...
Persistent link: https://www.econbiz.de/10010847826
Nonzero-sum ergodic semi-Markov games with Borel state spaces are studied. An equilibrium theorem is proved in the class of correlated stationary strategies using public randomization. Under some additivity assumption concerning the transition probabilities stationary Nash equilibria are also...
Persistent link: https://www.econbiz.de/10010847839
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...
Persistent link: https://www.econbiz.de/10010949950
We extend a result by Cavazos-Cadena and Lasserre on the existence of strong 1-optimal stationary policies in Markov decision chains with countable state spaces, uniformly ergodic transition probabilities and bounded costs to a larger class of models with unbounded costs and the so-called...
Persistent link: https://www.econbiz.de/10010950044
In this paper we study zero-sum stochastic games with Borel state spaces. We make some stochastic stability assumptions on the transition structure of the game which imply the so-called w-uniform geometric ergodicity of Markov chains induced by stationary strategies of the players. Under such...
Persistent link: https://www.econbiz.de/10010950072
Brown [3] constructed an aperiodic Markov decision chain in which no overtaking policy (stationary or nonstationary) exists. However, in his example a strong overtaking optimal policy exists in the class of all stationary policies. We provide another example of an aperiodic and geometric ergodic...
Persistent link: https://www.econbiz.de/10010950223