Existence of Nash equilibria in two-person stochastic games of resource extraction

P. Szajowski

Banach Center Publications (2006)

  • Volume: 71, Issue: 1, page 291-302
  • ISSN: 0137-6934

Abstract

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This paper deals with two-person stochastic games of resource extraction under both the discounted and the mean payoff criterion. Under some concavity and additivity assumptions concerning the payoff and the transition probability function a stationary Nash equilibrium is shown to exist. The proof is based on Schauder-Tychonoff's fixed point theorem, applied to a suitable payoff vector space.

How to cite

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P. Szajowski. "Existence of Nash equilibria in two-person stochastic games of resource extraction." Banach Center Publications 71.1 (2006): 291-302. <http://eudml.org/doc/282176>.

@article{P2006,
abstract = {This paper deals with two-person stochastic games of resource extraction under both the discounted and the mean payoff criterion. Under some concavity and additivity assumptions concerning the payoff and the transition probability function a stationary Nash equilibrium is shown to exist. The proof is based on Schauder-Tychonoff's fixed point theorem, applied to a suitable payoff vector space.},
author = {P. Szajowski},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {291-302},
title = {Existence of Nash equilibria in two-person stochastic games of resource extraction},
url = {http://eudml.org/doc/282176},
volume = {71},
year = {2006},
}

TY - JOUR
AU - P. Szajowski
TI - Existence of Nash equilibria in two-person stochastic games of resource extraction
JO - Banach Center Publications
PY - 2006
VL - 71
IS - 1
SP - 291
EP - 302
AB - This paper deals with two-person stochastic games of resource extraction under both the discounted and the mean payoff criterion. Under some concavity and additivity assumptions concerning the payoff and the transition probability function a stationary Nash equilibrium is shown to exist. The proof is based on Schauder-Tychonoff's fixed point theorem, applied to a suitable payoff vector space.
LA - eng
UR - http://eudml.org/doc/282176
ER -

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