Nonzero-sum semi-Markov games with countable state spaces
Volume 27 / 2000
Applicationes Mathematicae 27 (2000), 395-402
DOI: 10.4064/am-27-4-395-402
Abstract
We consider nonzero-sum semi-Markov games with a countable state space and compact metric action spaces. We assume that the payoff, mean holding time and transition probability functions are continuous on the action spaces. The main results concern the existence of Nash equilibria for nonzero-sum discounted semi-Markov games and a class of ergodic semi-Markov games with the expected average payoff criterion.