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A User's Guide to Solving Dynamic Stochastic Games Using the Homotopy Method

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  • Doraszelski, Ulrich
  • Kryukov, Yaroslav
  • Borkovsky, Ron N.

Abstract

This paper provides a step-by-step guide to solving dynamic stochastic games using the homotopy method. The homotopy method facilitates exploring the equilibrium correspondence in a systematic fashion; it is especially useful in games that have multiple equilibria. We discuss the theory of the homotopy method and its implementation and present two detailed examples of dynamic stochastic games that are solved using this method.

Suggested Citation

  • Doraszelski, Ulrich & Kryukov, Yaroslav & Borkovsky, Ron N., 2008. "A User's Guide to Solving Dynamic Stochastic Games Using the Homotopy Method," CEPR Discussion Papers 6733, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:6733
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    References listed on IDEAS

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    Cited by:

    1. David Besanko & Ulrich Doraszelski & Yaroslav Kryukov & Mark Satterthwaite, 2008. "Learning-by-Doing, Organizational Forgetting, and Industry Dynamics," GSIA Working Papers 2009-E22, Carnegie Mellon University, Tepper School of Business.
    2. , & ,, 2010. "A theory of regular Markov perfect equilibria in dynamic stochastic games: genericity, stability, and purification," Theoretical Economics, Econometric Society, vol. 5(3), September.
    3. Ulrich Doraszelski & Mark Satterthwaite & Lauren Xiaoyuan Lu & David Besanko, 2009. "Lumpy Capacity Investment and Disinvestment Dynamics," 2009 Meeting Papers 106, Society for Economic Dynamics.
    4. Cai,Yongyang & Selod,Harris & Steinbuks,Jevgenijs, 2015. "Urbanization and property rights," Policy Research Working Paper Series 7486, The World Bank.
    5. Besanko, David & Doraszelski, Ulrich & Satterthwaite, Mark & Lu, Lauren Xiaoyuan, 2008. "Lumpy Capacity Investment and Disinvestment Dynamics," CEPR Discussion Papers 6788, C.E.P.R. Discussion Papers.
    6. Jean-Pierre Dubé & Xueming Luo & Zheng Fang, 2015. "Self-Signaling and Prosocial Behavior: a Cause Marketing Mobile Field Experiment," NBER Working Papers 21475, National Bureau of Economic Research, Inc.
    7. Doraszelski, Ulrich & Kryukov, Yaroslav & Borkovsky, Ron N., 2009. "A Dynamic Quality Ladder Model with Entry and Exit: Exploring the Equilibrium Correspondence Using the Homotopy Method," CEPR Discussion Papers 7560, C.E.P.R. Discussion Papers.

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    More about this item

    Keywords

    Computation; Dynamic stochastic games; Homotopy method; Markov-perfect equilibrium;
    All these keywords.

    JEL classification:

    • 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

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