Zero-Sum Semi-Markov Games

We consider zero-sum stochastic games with Borel state spaces satisfying a generalized geometric ergodicity condition. The main objective of this paper is to establish a minimax theorem for a class of ergodic stochastic games with the Feller transition ...

Under the framework given by a growth condition, a Lyapunov property and some continuity assumptions, the present work shows the existence of lower semicontinuous solutions to the Shapley equation for zero-sum semi-Markov games with Borel spaces, ...$$

This papers deals with the zero-sum game with a discounted reward criterion for piecewise deterministic Markov process (PDMPs) in general Borel spaces. The two players can act on the jump rate and transition measure of the process, with the decisions ...