IDEAS home Printed from https://ideas.repec.org/p/tiu/tiutis/742a0d4c-3766-45de-af30-4ea80793b976.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/16003745/2017_020.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    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.
    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, April.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Peixuan Li & Chuangyin Dang & P. Jean-Jacques Herings, 2024. "Computing perfect stationary equilibria in stochastic games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(2), pages 347-387, September.
    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.
    5. 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.
    6. Ma, Qingyin & Stachurski, John & Toda, Alexis Akira, 2022. "Unbounded dynamic programming via the Q-transform," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    7. Natalia Kuosmanen & Timo Kuosmanen, 2024. "Inter-industry and intra-industry switching as sources of productivity growth: structural change of Finland’s ICT industries," Journal of Productivity Analysis, Springer, vol. 61(2), pages 107-120, April.
    8. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Jaap H. Abbring & Jeffrey R. Campbell & Jan Tilly & Nan Yang, 2018. "Very Simple Markov-Perfect Industry Dynamics: Empirics," Working Paper Series WP-2018-17, Federal Reserve Bank of Chicago.
    3. Xiao, Mo & Orazem, Peter F., 2011. "Does the fourth entrant make any difference?: Entry and competition in the early U.S. broadband market," International Journal of Industrial Organization, Elsevier, vol. 29(5), pages 547-561, September.
    4. Adlakha, Sachin & Johari, Ramesh & Weintraub, Gabriel Y., 2015. "Equilibria of dynamic games with many players: Existence, approximation, and market structure," Journal of Economic Theory, Elsevier, vol. 156(C), pages 269-316.
    5. Jens Prüfer & Christoph Schottmüller, 2021. "Competing with Big Data," Journal of Industrial Economics, Wiley Blackwell, vol. 69(4), pages 967-1008, December.
    6. Amir, Rabah & Halmenschlager, Christine & Jin, Jim, 2011. "R&D-induced industry polarization and shake-outs," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 386-398, July.
    7. David Besanko & Ulrich Doraszelski & Yaroslav Kryukov & Mark Satterthwaite, 2007. "Learning-by-Doing, Organizational Forgetting, and Industry Dynamics," Levine's Bibliography 321307000000000903, UCLA Department of Economics.
    8. Peixuan Li & Chuangyin Dang & P. Jean-Jacques Herings, 2024. "Computing perfect stationary equilibria in stochastic games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(2), pages 347-387, September.
    9. Cabral, Luís, 2012. "Oligopoly Dynamics," International Journal of Industrial Organization, Elsevier, vol. 30(3), pages 278-282.
    10. Committee, Nobel Prize, 2014. "Market power and regulation (scientific background)," Nobel Prize in Economics documents 2014-2, Nobel Prize Committee.
    11. Gaynor, Martin & Town, Robert J., 2011. "Competition in Health Care Markets," Handbook of Health Economics, in: Mark V. Pauly & Thomas G. Mcguire & Pedro P. Barros (ed.), Handbook of Health Economics, volume 2, chapter 0, pages 499-637, Elsevier.
    12. Stefan Kersting & JProf. Silke Huettel & Prof. Martin Odening, 2013. "Structural change in agriculture – an equilibrium approach," EcoMod2013 5300, EcoMod.
    13. Doraszelski, Ulrich & Escobar, Juan F., 2019. "Protocol invariance and the timing of decisions in dynamic games," Theoretical Economics, Econometric Society, vol. 14(2), May.
    14. Wilson, Nathan E., 2012. "Uncertain regulatory timing and market dynamics," International Journal of Industrial Organization, Elsevier, vol. 30(1), pages 102-115.
    15. Ulrich Doraszelski & Mark Satterthwaite, 2007. "Computable Markov-Perfect Industry Dynamics: Existence, Purification, and Multiplicity," Levine's Bibliography 321307000000000912, UCLA Department of Economics.
    16. Victor Aguirregabiria & Junichi Suzuki, 2014. "Identification and counterfactuals in dynamic models of market entry and exit," Quantitative Marketing and Economics (QME), Springer, vol. 12(3), pages 267-304, September.
    17. Joao Macieira, 2010. "Oblivious Equilibrium in Dynamic Discrete Games," 2010 Meeting Papers 680, Society for Economic Dynamics.
    18. Aguirregabiria, Victor & Gu, Jiaying & Luo, Yao, 2021. "Sufficient statistics for unobserved heterogeneity in structural dynamic logit models," Journal of Econometrics, Elsevier, vol. 223(2), pages 280-311.
    19. Maican, Florin G., 2012. "From Boom to Bust and Back Again: A dynamic analysis of IT services," Working Papers in Economics 543, University of Gothenburg, Department of Economics.
    20. Ron N. Borkovsky & Ulrich Doraszelski & Yaroslav Kryukov, 2010. "A User's Guide to Solving Dynamic Stochastic Games Using the Homotopy Method," Operations Research, INFORMS, vol. 58(4-part-2), pages 1116-1132, August.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tiu:tiutis:742a0d4c-3766-45de-af30-4ea80793b976. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Richard Broekman (email available below). General contact details of provider: https://www.tilburguniversity.edu/about/schools/economics-and-management/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.