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Lattice Methods in Computation of Sequential Markov Equilibrium in Dynamic Games

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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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  • Manjira Datta & Leonard Mirman & Olivier Morand & Kevin Reffett, "undated". "Lattice Methods in Computation of Sequential Markov Equilibrium in Dynamic Games," Working Papers 2179545, Department of Economics, W. P. Carey School of Business, Arizona State University.
    • Handle: RePEc:asu:wpaper:2179545
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    File URL: http://wpcarey.asu.edu/tools/mytools/pubs_admin/FILES/FishwarDec2004.pdf
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    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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