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Very Simple Markov-Perfect Industry Dynamics : Theory

Author

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  • Abbring, Jaap

    (Tilburg University, School of Economics and Management)

  • Campbell, J.R.
  • Tilly, J.
  • Yang, N.

    (Tilburg University, School of Economics and Management)

Abstract

This paper develops a simple model of firm entry, competition, and exit in oligopolistic markets. It features toughness of competition, sunk entry costs, and market‐level demand and cost shocks, but assumes that firms' expected payoffs are identical when entry and survival decisions are made. We prove that this model has an essentially unique symmetric Markov‐perfect equilibrium, and we provide an algorithm for its computation. Because this algorithm only requires finding the fixed points of a finite sequence of contraction mappings, it is guaranteed to converge quickly.
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Suggested Citation

  • Abbring, Jaap & Campbell, J.R. & Tilly, J. & Yang, N., 2017. "Very Simple Markov-Perfect Industry Dynamics : Theory," Other publications TiSEM 742a0d4c-3766-45de-af30-4, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:742a0d4c-3766-45de-af30-4ea80793b976
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    References listed on IDEAS

    as
    1. Doraszelski, Ulrich & Pakes, Ariel, 2007. "A Framework for Applied Dynamic Analysis in IO," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 30, pages 1887-1966, Elsevier.
    2. repec:adr:anecst:y:1994:i:34:p:07 is not listed on IDEAS
    3. Timothy Dunne & Shawn D. Klimek & Mark J. Roberts & Daniel Yi Xu, 2013. "Entry, exit, and the determinants of market structure," RAND Journal of Economics, RAND Corporation, vol. 44(3), pages 462-487, September.
    4. Fedor Iskhakov & John Rust & Bertel Schjerning, 2016. "Recursive Lexicographical Search: Finding All Markov Perfect Equilibria of Finite State Directional Dynamic Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(2), pages 658-703.
    5. Jaap H. Abbring & Jeffrey R. Campbell, 2010. "Last-In First-Out Oligopoly Dynamics," Econometrica, Econometric Society, vol. 78(5), pages 1491-1527, September.
    6. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(1), pages 53-82.
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    8. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    9. Abbring, Jaap & Campbell, J.R. & Tilly, J. & Yang, N., 2018. "Very Simple Markov-Perfect Industry Dynamics (revision of 2017-021) : Empirics," Discussion Paper 2018-040, Tilburg University, Center for Economic Research.
    10. Timothy F. Bresnahan & Peter C. Reiss, 1994. "Measuring the Importance of Sunk Costs," Annals of Economics and Statistics, GENES, issue 34, pages 159-180.
    11. Preston R. Fee & Hugo M. Mialon & Michael A. Williams, 2004. "What Is a Barrier to Entry?," American Economic Review, American Economic Association, vol. 94(2), pages 461-465, May.
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    Cited by:

    1. Ma, Qingyin & Stachurski, John & Toda, Alexis Akira, 2022. "Unbounded dynamic programming via the Q-transform," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    2. Steffen Eibelshäuser & Victor Klockmann & David Poensgen & Alicia von Schenk, 2023. "The Logarithmic Stochastic Tracing Procedure: A Homotopy Method to Compute Stationary Equilibria of Stochastic Games," INFORMS Journal on Computing, INFORMS, vol. 35(6), pages 1511-1526, November.
    3. Abbring, Jaap & Campbell, J.R. & Tilly, J. & Yang, N., 2018. "Very Simple Markov-Perfect Industry Dynamics (revision of 2017-021) : Empirics," Discussion Paper 2018-040, Tilburg University, Center for Economic Research.
    4. Nan Yang, 2018. "An Empirically Tractable Dynamic Oligopoly Model: Application to Store Entry and Exit in Dutch Grocery Retail," Marketing Science, INFORMS, vol. 37(6), pages 1029-1049, November.
    5. Taisuke Otsu & Martin Pesendorfer, 2021. "Equilibrium multiplicity in dynamic games: testing and estimation," STICERD - Econometrics Paper Series 618, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    6. Taisuke Otsu & Martin Pesendorfer, 2023. "Equilibrium multiplicity in dynamic games: Testing and estimation," The Econometrics Journal, Royal Economic Society, vol. 26(1), pages 26-42.

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    More about this item

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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