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Very Simple Markov-Perfect Industry Dynamics : Theory

Author

Listed:
  • 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.
(This abstract was borrowed from another version of this item.)

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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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/16003745/2017_020.pdf
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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," Review of Economic Studies, Oxford University Press, 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," Review of Economic Studies, Oxford University Press, vol. 62(1), pages 53-82.
    7. Cabral, Luis M B & Riordan, Michael H, 1994. "The Learning Curve, Market Dominance, and Predatory Pricing," Econometrica, Econometric Society, vol. 62(5), pages 1115-1140, September.
    8. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414.
    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. repec:adr:anecst:y:1994:i:34 is not listed on IDEAS
    11. Timothy F. Bresnahan & Peter C. Reiss, 1994. "Measuring the Importance of Sunk Costs," Annals of Economics and Statistics, GENES, issue 34, pages 159-180.
    12. 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.
    Full references (including those not matched with items on IDEAS)

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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. 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.
    3. 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.
    4. 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.

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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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