Complementarity and Diagonal Dominance in Discounted Stochastic Games

作者: Rabah Amir

DOI: 10.1023/A:1021097716583

关键词:

摘要: We consider discounted stochastic games characterized by monotonicity, supermodularity and diagonal dominance assumptions on the reward functions transition law. A thorough novel discussion of scope limitations this class is provided. Existence a Markov-stationary equilibrium for infinite-horizon game, proved Curtat (1996), summarized. Uniqueness Markov solvability finite-horizon game are established. In both cases, strategies corresponding value nondecreasing Liptschitz-continuous state vector. Some specific economic applications discussed.

参考文章(39)
Rabah Amir, On Stochastic Games with Uncountable State and Action Spaces Theory and Decision Library. pp. 149- 159 ,(1991) , 10.1007/978-94-011-3760-7_14
Donald M. Topkis, Supermodularity and Complementarity ,(1998)
Richard F. Serfozo, Monotone optimal policies for Markov decision processes Mathematical Programming Studies. pp. 202- 215 ,(1976) , 10.1007/BFB0120752
Matthew J. Sobel, Daniel P. Heyman, Stochastic models in operations research ,(1982)
Steven E. Shreve, Dimitri P. Bertsekas, Stochastic optimal control : the discrete time case ,(2007)
David Levhari, Leonard J. Mirman, The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution The Bell Journal of Economics. ,vol. 11, pp. 322- 334 ,(1980) , 10.2307/3003416
Geert Jan Olsder, Tamer Başar, Dynamic Noncooperative Game Theory ,(1982)
R. Amir, Sensitivity analysis of multi-sector optimal economic dynamics. Research Papers in Economics. ,(1991)
Jean-François Mertens, T. Parthasarathy, Equilibria for Discounted Stochastic Games Stochastic Games and Applications. pp. 131- 172 ,(2003) , 10.1007/978-94-010-0189-2_10
Laurent O. Curtat, Markov Equilibria of Stochastic Games with Complementarities Games and Economic Behavior. ,vol. 17, pp. 177- 199 ,(1996) , 10.1006/GAME.1996.0101