Article ID: | iaor19932410 |
Country: | Israel |
Volume: | 29 |
Issue: | 1 |
Start Page Number: | 56 |
End Page Number: | 72 |
Publication Date: | Mar 1992 |
Journal: | Journal of Applied Probability |
Authors: | Lal Arbind K., Sinha Sagnik |
Keywords: | game theory |
Semi-Markov games are investigated under discounted and limiting average payoff criteria. The issue of the existence of the value and a pair of stationary optimal strategies are settled; the optimality equation is studied and under a natural erogidic condition the existence of a solution to the optimality equation is proved for the limiting average case. Semi-Markov games provide useful flexibility in constructing recursive game models. All the work on Markov/semi-Markov decision processes and Markov (stochastic) games can be viewed as special cases of the developments in this paper.