Geodesic
Nonzero-sum semi-Markov games with countable state spaces
Applicationes Mathematicae, Tome 27 (2000) no. 4, pp. 395-402
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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.
DOI : 10.4064/am-27-4-395-402
Keywords: discounted criterion, Nash equilibrium, countable state space, nonzero-sum semi-Markov game, long run average reward criterion 
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Wojciech Połowczuk. Nonzero-sum semi-Markov games with countable state spaces. Applicationes Mathematicae, Tome 27 (2000) no. 4, pp. 395-402. doi: 10.4064/am-27-4-395-402

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