### Abstract

This paper considers two-person zero-sum Markov games with finitely many states and actions with the criterion of average reward per unit time. Two special situations are treated and it is shown that in both cases the method of successive approximations yields an e-band for the value of the game as well as stationary e-optimal strategies. In the first case all underlying Markov chains of pure stationary optimal strategies are assumed to be unichained. In the second case it is assumed that the functional equation Uv = v + ge has a solution.

Original language | English |
---|---|

Place of Publication | Eindhoven |

Publisher | Technische Hogeschool Eindhoven |

Number of pages | 15 |

Publication status | Published - 1977 |

### Publication series

Name | Memorandum COSOR |
---|---|

Volume | 7710 |

ISSN (Print) | 0926-4493 |

## Fingerprint Dive into the research topics of 'Successive approximation for average reward Markov games'. Together they form a unique fingerprint.

## Cite this

Wal, van der, J. (1977).

*Successive approximation for average reward Markov games*. (Memorandum COSOR; Vol. 7710). Technische Hogeschool Eindhoven.