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2010 | 11(XI) | nr 1 | 167--188
Tytuł artykułu

Asymptotic Nash Equilibria in Discounted Stochastic Games of Resource Extraction

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A class of two person nonzero-sum nonsymmetric stochastic games of capital accumulation/resource extraction is considered. It is shown that the Nash equilibrium in the discounted games has a limit when the discount factor tends to 1. Moreover, this limit is an epsilon-equilibrium in the discounted game with sufficiently large discount factor. (original abstract)
  • Politechnika Wrocławska
  • R. Amir, Continuous stochastic games of capital accumulation with convex transitions, Games and Economic Behavior 15 (1996), 111-131.
  • L. Balbus, A.S. Nowak, Construction of Nash equilibria in symmetric stochastic games of capital accumulation, Mathematical Methods of Operations Research 60 (2004), 267-277.
  • L. Balbus, A.S. Nowak, Existence of perfect equilibria in a class of multigenerational stochastic games of capital accumulation, Automatica 44 (2008), 1471-1479.
  • L. Balbus, A.S. Nowak, Nash equilibria in unconstrained stochastic games of resource extractions, International Game Theory Review 10 (2008), 25-35.
  • D.P. Bertsekas, S.E. Shreve, Stochastic Optimal Control: the Discrete-Time Case, (New York: Academic Press, 1978).
  • D. Blackwell, Discounted dynamic programming, The Annals of Mathematical Statistics 36 (1965), 226-235.
  • L.O. Curtat, Markov equilibria of stochastic games with complementarities, Games and Economic Behavior 17 (1996), 177-199.
  • P.K. Dutta, R.K. Sundaram, Markovian equilibrium in a class of stochastic games: existence theorem for discounted and undiscounted models, Economic Theory 2 (1992), 197-214.
  • A.M. Fink, Equilibrium in a stochastic n - person game, Journal of Science of the Hiroshima University 28 (1964), 89-93.
  • D. Levhari, L. Mirman, The great fish war: an example using a dynamic Cournot-Nash solution, Bell Journal of Economics 11 (1980), 322-344.
  • M. Majumdar, R.K. Sundaram, Symmetric stochastic games of resource extraction: the existence of non-randomized stationary equilibrium, in: Stochastic Games and Related Topics (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991), T.E.S. Raghavan et al. (eds.), Shapley Honor Volume, 175-190.
  • A.S. Nowak, On a new class of nonzero-sum discounted stochastic games having stationary Nash equilibrium points, International Journal of Game Theory 32 (2003), 121-132.
  • A.S. Nowak, N-person stochastic games: extensions of the finite state space case and correlation, in: Stochastic Games and Applications (Kluwer Academic Publishers, Dordrecht, The Netherlands, 2003), A. Neyman and S. Sorin (eds.), Lecture notes in NATO Science Series C, Mathematical and Physical Sciences, 93-106.
  • A.S. Nowak, P. Szajowski, On Nash equilibria in stochastic games of capital accumulation, in: Game Theory and Applications 9 (2003), L.A. Petrosjan and V.V. Mazalov (eds.), 119-129.
  • U. Rieder, Equilibrium plans for nonzero-sum Markov games, in: Game Theory and Related Topics (North-Holland, Amsterdam, 1979), 91-102.
  • P. Szajowski, Constructions of Nash equilibria in stochastic games of resource extraction with additive transition structure, Mathematical Methods of Operations Research 63 (2006), 239-260.
  • Q. Zhu, X. Guo, Y. Dai, Unbounded cost Markov decision proces with limsup and liminf average criteria: new conditions, Mathematical Methods of Operations Research 61 (2005), 469-482.
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