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).

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

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

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...

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...