On Stochastic Games with Stationary Optimal Strategies.

Abstract

A systematic study is made of two person, zero sum, stochastic games with stationary optimal strategies. Various criteria for optimality are defined and it is shown that if both players have stationary strategies which are optimal with respect to one of these criteria, these strategies are optimal with respect to all the criteria. A sufficient condition is given for the existence of stationary optimal strategies. It is shown that the sufficiency of this condition implies all the theorems in the literature on Markov decision processes and stochastic games which assert the existence of opitmal stationary strategies. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA029056

Entities

People

  • Elon Kohlberg
  • Truman Bewley

Organizations

  • Harvard University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Stationary

Readers

  • Game Theory.
  • Mathematical Modeling and Probability Theory.