Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Stochastic Games with Average Payoff Criterion

Journal Article · · Applied Mathematics and Optimization
DOI:https://doi.org/10.1007/S002459900092· OSTI ID:21067560
 [1];  [2]
  1. Department of Mathematics, Indian Institute of Science, Bangalore 560012 (India)
  2. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede (Netherlands)

We study two-person stochastic games on a Polish state and compact action spaces and with average payoff criterion under a certain ergodicity condition. For the zero-sum game we establish the existence of a value and stationary optimal strategies for both players. For the nonzero-sum case the existence of Nash equilibrium in stationary strategies is established under certain separability conditions.

OSTI ID:
21067560
Journal Information:
Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 38; ISSN 0095-4616
Country of Publication:
United States
Language:
English

Similar Records

Stochastic Games for Continuous-Time Jump Processes Under Finite-Horizon Payoff Criterion
Journal Article · Sat Oct 15 00:00:00 EDT 2016 · Applied Mathematics and Optimization · OSTI ID:22617198

On 2- and 3-person games on polyhedral sets
Conference · Fri Dec 30 23:00:00 EST 1994 · OSTI ID:35818

Two Person Zero-Sum Semi-Markov Games with Unknown Holding Times Distribution on One Side: A Discounted Payoff Criterion
Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Applied Mathematics and Optimization · OSTI ID:21242049