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Lattice Methods in Computation of Sequential Markov Equilibrium in Dynamic Games

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Author Info
Manjira Datta () (W. P. Carey School of Business Department of Economics)
Leonard Mirman (University of Virginia)
Olivier Morand (University of Connecticut)
Kevin Reffett () (W. P. Carey School of Business Department of Economics)

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Abstract

This paper uses lattice programming methods along with the extension of Tarski's fixed point theorem due to Veinott (1992) and Zhou (1994) to establish sufficient conditions for existence of sequential symmetric Markov equilibrium in a large class of dynamic games. Our method is constructive and we provide specific algorithms for computing equilibrium. These results are applied to the classic fishwar game in the context of a finite horizon. JEL Classification: C62, C63, C73, D90

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Paper provided by Department of Economics, W. P. Carey School of Business, Arizona State University in its series Working Papers with number 2179545.

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Handle: RePEc:asu:wpaper:2179545

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  1. Datta, Manjira & Mirman, Leonard J, 2000. "Dynamic Externalities and Policy Coordination," Review of International Economics, Blackwell Publishing, vol. 8(1), pages 44-59, February. [Downloadable!] (restricted)
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  2. Zhou Lin, 1994. "The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice," Games and Economic Behavior, Elsevier, vol. 7(2), pages 295-300, September. [Downloadable!] (restricted)
  3. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January. [Downloadable!] (restricted)
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  4. Datta, Manjira, 1997. "Externalities and Price Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 587-603, August.
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  5. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321. [Downloadable!] (restricted)
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  6. Sundaram, Rangarajan K., 1989. "Perfect equilibrium in non-randomized strategies in a class of symmetric dynamic games," Journal of Economic Theory, Elsevier, vol. 47(1), pages 153-177, February. [Downloadable!] (restricted)
  7. Santos, Manuel S, 1991. "Smoothness of the Policy Function in Discrete Time Economic Models," Econometrica, Econometric Society, vol. 59(5), pages 1365-82, September. [Downloadable!] (restricted)
  8. Curtat, Laurent O., 1996. "Markov Equilibria of Stochastic Games with Complementarities," Games and Economic Behavior, Elsevier, vol. 17(2), pages 177-199, December. [Downloadable!] (restricted)
  9. David Levhari & Leonard J. Mirman, 1980. "The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 322-334, Spring. [Downloadable!] (restricted)
  10. Datta, Manjira & Mirman, Leonard J., 1999. "Externalities, Market Power, and Resource Extraction," Journal of Environmental Economics and Management, Elsevier, vol. 37(3), pages 233-255, May. [Downloadable!] (restricted)
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  11. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October. [Downloadable!] (restricted)
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  1. Manjira Datta & Leonard Mirman & Kevin Reffett, . "Nonclassical Brock-Mirman Economies," Working Papers 2179544, Department of Economics, W. P. Carey School of Business, Arizona State University. [Downloadable!]
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