IDEAS home Printed from https://ideas.repec.org/a/kap/qmktec/v10y2012i2p197-229.html
   My bibliography  Save this article

A dynamic quality ladder model with entry and exit: Exploring the equilibrium correspondence using the homotopy method

Author

Listed:
  • Ron Borkovsky
  • Ulrich Doraszelski
  • Yaroslav Kryukov

Abstract

No abstract is available for this item.

Suggested Citation

  • Ron Borkovsky & Ulrich Doraszelski & Yaroslav Kryukov, 2012. "A dynamic quality ladder model with entry and exit: Exploring the equilibrium correspondence using the homotopy method," Quantitative Marketing and Economics (QME), Springer, vol. 10(2), pages 197-229, June.
    • Handle: RePEc:kap:qmktec:v:10:y:2012:i:2:p:197-229
    DOI: 10.1007/s11129-011-9113-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11129-011-9113-4
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11129-011-9113-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ariel Pakes & Michael Ostrovsky & Steven Berry, 2007. "Simple estimators for the parameters of discrete dynamic games (with entry/exit examples)," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 373-399, June.
    2. David Besanko & Ulrich Doraszelski, 2004. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 23-49, Spring.
    3. P. Herings & Ronald Peeters, 2010. "Homotopy methods to compute equilibria in game theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 119-156, January.
    4. Jiawei Chen & Ulrich Doraszelski & Joseph E. Harrington, Jr., 2009. "Avoiding market dominance: product compatibility in markets with network effects," RAND Journal of Economics, RAND Corporation, vol. 40(3), pages 455-485, September.
    5. Christopher A. Laincz & Ana Rodrigues, 2006. "The Impact of Cost Reducing R\&D Spillovers on the Ergodic Distribution of Market Structures," Computing in Economics and Finance 2006 307, Society for Computational Economics.
    6. Ariel Pakes & Paul McGuire, 1994. "Computing Markov-Perfect Nash Equilibria: Numerical Implications of a Dynamic Differentiated Product Model," RAND Journal of Economics, The RAND Corporation, vol. 25(4), pages 555-589, Winter.
    7. Ronald L. Goettler & Brett R. Gordon, 2011. "Does AMD Spur Intel to Innovate More?," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1141-1200.
    8. Patrick Bajari & C. Lanier Benkard & Jonathan Levin, 2007. "Estimating Dynamic Models of Imperfect Competition," Econometrica, Econometric Society, vol. 75(5), pages 1331-1370, September.
    9. Drew Fudenberg & Jean Tirole, 1986. "A "Signal-Jamming" Theory of Predation," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 366-376, Autumn.
    10. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    11. , & ,, 2010. "A theory of regular Markov perfect equilibria in dynamic stochastic games: genericity, stability, and purification," Theoretical Economics, Econometric Society, vol. 5(3), September.
    12. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    13. Ulrich Doraszelski & Mark Satterthwaite, 2010. "Computable Markov‐perfect industry dynamics," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 215-243, June.
    14. Narajabad, Borghan & Watson, Randal, 2011. "The dynamics of innovation and horizontal differentiation," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 825-842, June.
    15. Markovich, Sarit & Moenius, Johannes, 2009. "Winning while losing: Competition dynamics in the presence of indirect network effects," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 346-357, May.
    16. Pakes, Ariel & McGuire, Paul, 2001. "Stochastic Algorithms, Symmetric Markov Perfect Equilibrium, and the 'Curse' of Dimensionality," Econometrica, Econometric Society, vol. 69(5), pages 1261-1281, September.
    17. David Besanko & Ulrich Doraszelski & Yaroslav Kryukov & Mark Satterthwaite, 2010. "Learning-by-Doing, Organizational Forgetting, and Industry Dynamics," Econometrica, Econometric Society, vol. 78(2), pages 453-508, March.
    18. Ulrich Doraszelski & Sarit Markovich, 2007. "Advertising dynamics and competitive advantage," RAND Journal of Economics, RAND Corporation, vol. 38(3), pages 557-592, September.
    19. 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.
    20. Minjae Song, 2011. "A Dynamic Analysis Of Cooperative Research In The Semiconductor Industry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(4), pages 1157-1177, November.
    21. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
    22. Victor Aguirregabiria & Pedro Mira, 2007. "Sequential Estimation of Dynamic Discrete Games," Econometrica, Econometric Society, vol. 75(1), pages 1-53, January.
    23. Jean-Pierre Dubé & Günter Hitsch & Puneet Manchanda, 2005. "An Empirical Model of Advertising Dynamics," Quantitative Marketing and Economics (QME), Springer, vol. 3(2), pages 107-144, June.
    24. Gautam Gowrisankaran & Thomas J. Holmes, 2004. "Mergers and the Evolution of Industry Concentration: Results from the Dominant-Firm Model," RAND Journal of Economics, The RAND Corporation, vol. 35(3), pages 561-582, Autumn.
    25. Martin Pesendorfer & Philipp Schmidt-Dengler, 2008. "Asymptotic Least Squares Estimators for Dynamic Games -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 901-928.
    26. Gabriel Y. Weintraub & C. Lanier Benkard & Benjamin Van Roy, 2010. "Computational Methods for Oblivious Equilibrium," Operations Research, INFORMS, vol. 58(4-part-2), pages 1247-1265, August.
    27. Cabral, Luis M B & Riordan, Michael H, 1997. "The Learning Curve, Predation, Antitrust, and Welfare," Journal of Industrial Economics, Wiley Blackwell, vol. 45(2), pages 155-169, June.
    28. Luís M. B. Cabral & Michael H. Riordan, 1997. "The Learning Curve, Predation, Antitrust, and Welfare," Journal of Industrial Economics, Wiley Blackwell, vol. 45(2), pages 155-169, June.
    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. Brett Hollenbeck, 2020. "Horizontal mergers and innovation in concentrated industries," Quantitative Marketing and Economics (QME), Springer, vol. 18(1), pages 1-37, March.
    2. Ron N. Borkovsky & Avi Goldfarb & Avery M. Haviv & Sridhar Moorthy, 2017. "Measuring and Understanding Brand Value in a Dynamic Model of Brand Management," Marketing Science, INFORMS, vol. 36(4), pages 471-499, July.
    3. Ron Borkovsky & Paul Ellickson & Brett Gordon & Victor Aguirregabiria & Pedro Gardete & Paul Grieco & Todd Gureckis & Teck-Hua Ho & Laurent Mathevet & Andrew Sweeting, 2015. "Multiplicity of equilibria and information structures in empirical games: challenges and prospects," Marketing Letters, Springer, vol. 26(2), pages 115-125, June.
    4. Ulrich Doraszelski & Kenneth L. Judd, 2019. "Dynamic stochastic games with random moves," Quantitative Marketing and Economics (QME), Springer, vol. 17(1), pages 59-79, March.
    5. Victor Aguirregabiria & Allan Collard-Wexler & Stephen P. Ryan, 2021. "Dynamic Games in Empirical Industrial Organization," NBER Working Papers 29291, National Bureau of Economic Research, Inc.
    6. Ben Mermelstein & Volker Nocke & Mark A. Satterthwaite & Michael D. Whinston, 2020. "Internal versus External Growth in Industries with Scale Economies: A Computational Model of Optimal Merger Policy," Journal of Political Economy, University of Chicago Press, vol. 128(1), pages 301-341.
    7. Mario Samano & Marc Santugini, 2015. "Long-Run Market Configurations in a Dynamic Quality-Ladder Model with Heterogeneity," Cahiers de recherche 1503, CIRPEE.
    8. Doraszelski, Ulrich & Besanko, David & Kryukov, Yaroslav, 2017. "How Efficient is Dynamic Competition? The Case of Price as Investment," CEPR Discussion Papers 12279, C.E.P.R. Discussion Papers.
    9. Smrkolj, Grega & Wagener, Florian, 2019. "Research among copycats: R&D, spillovers, and feedback strategies," International Journal of Industrial Organization, Elsevier, vol. 65(C), pages 82-120.
    10. Linli Xu & Jorge M. Silva-Risso & Kenneth C. Wilbur, 2018. "Dynamic Quality Ladder Model Predictions in Nonrandom Holdout Samples," Management Science, INFORMS, vol. 64(7), pages 3187-3207, July.
    11. Samano, Mario & Santugini, Marc, 2020. "Long-run market configurations in a dynamic quality-ladder model with externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 117(C).
    12. David Besanko & Ulrich Doraszelski & Yaroslav Kryukov, 2017. "How Efficient is Dynamic Competition? The Case of Price as Investment," NBER Working Papers 23829, National Bureau of Economic Research, Inc.
    13. Ron N. Borkovsky, 2017. "The timing of version releases: A dynamic duopoly model," Quantitative Marketing and Economics (QME), Springer, vol. 15(3), pages 187-239, September.
    14. Ronald Goettler & Brett Gordon, 2014. "Competition and product innovation in dynamic oligopoly," Quantitative Marketing and Economics (QME), Springer, vol. 12(1), pages 1-42, March.
    15. Tubadji, Annie & Nijkamp, Peter & Santarelli, Enrico, 2017. "Shacklean Uncertainty and Cultural Embeddedness as Innovation Constraints in the UK," GLO Discussion Paper Series 111, Global Labor Organization (GLO).

    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. Ulrich Doraszelski & Kenneth L. Judd, 2019. "Dynamic stochastic games with random moves," Quantitative Marketing and Economics (QME), Springer, vol. 17(1), pages 59-79, March.
    2. Ulrich Doraszelski & Mark Satterthwaite, 2010. "Computable Markov‐perfect industry dynamics," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 215-243, June.
    3. C. Lanier Benkard & Przemyslaw Jeziorski & Gabriel Y. Weintraub, 2015. "Oblivious equilibrium for concentrated industries," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 671-708, October.
    4. C. Lanier Benkard & Przemyslaw Jeziorski & Gabriel Y. Weintraub, 2013. "Oblivious Equilibrium for Concentrated Industries," NBER Working Papers 19307, National Bureau of Economic Research, Inc.
    5. 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.
    6. 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.
    7. Johannes Van Biesebroeck & Aamir Hashmi, 2007. "Market Structure and Innovation: A Dynamic Analysis of the Global Automobile Industry," 2007 Meeting Papers 362, Society for Economic Dynamics.
    8. Ron N. Borkovsky, 2017. "The timing of version releases: A dynamic duopoly model," Quantitative Marketing and Economics (QME), Springer, vol. 15(3), pages 187-239, September.
    9. Vivek Farias & Bar Ifrach & Gabriel Weintraub, 2012. "A Framework for Dynamic Oligopoly in Concentrated Industries," 2012 Meeting Papers 505, Society for Economic Dynamics.
    10. Victor Aguirregabiria & Victor Aguirregabiria & Aviv Nevo & Aviv Nevo, 2010. "Recent Developments in Empirical IO: Dynamic Demand and Dynamic Games," Working Papers tecipa-419, University of Toronto, Department of Economics.
    11. Weintraub, Gabriel Y. & Benkard, C. Lanier & Van Roy, Benjamin, 2007. "Computational Methods for Oblivious Equilibrium," Research Papers 1969, Stanford University, Graduate School of Business.
    12. Linli Xu & Jorge M. Silva-Risso & Kenneth C. Wilbur, 2018. "Dynamic Quality Ladder Model Predictions in Nonrandom Holdout Samples," Management Science, INFORMS, vol. 64(7), pages 3187-3207, July.
    13. Weintraub, Gabriel Y. & Benkard, C. Lanier & Van Roy, Benjamin, 2007. "Markov Perfect Industry Dynamics with Many Firms," Research Papers 1919r, Stanford University, Graduate School of Business.
    14. Ron N. Borkovsky & Ulrich Doraszelski & Yaroslav Kryukov, "undated". "A User''s Guide to Solving Dynamic Stochastic Games Using the Homotopy Method," GSIA Working Papers 2009-E23, Carnegie Mellon University, Tepper School of Business.
    15. Aamir Rafique Hashmi & Johannes Van Biesebroeck, 2016. "The Relationship between Market Structure and Innovation in Industry Equilibrium: A Case Study of the Global Automobile Industry," The Review of Economics and Statistics, MIT Press, vol. 98(1), pages 192-208, March.
    16. Joao Macieira, 2010. "Oblivious Equilibrium in Dynamic Discrete Games," 2010 Meeting Papers 680, Society for Economic Dynamics.
    17. Ulrich Doraszelski & Kenneth L. Judd, 2012. "Avoiding the curse of dimensionality in dynamic stochastic games," Quantitative Economics, Econometric Society, vol. 3(1), pages 53-93, March.
    18. 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.
    19. Ronald Goettler & Brett Gordon, 2014. "Competition and product innovation in dynamic oligopoly," Quantitative Marketing and Economics (QME), Springer, vol. 12(1), pages 1-42, March.
    20. Victor Aguirregabiria & Gustavo Vicentini, 2006. "Dynamic Spatial Competition Between Multi-Store Firms," Working Papers tecipa-253, University of Toronto, Department of Economics.

    More about this item

    Keywords

    Quality ladder model; Dynamic oligopoly; Homotopy method; L13; C63; C73;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • 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

    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:kap:qmktec:v:10:y:2012:i:2:p:197-229. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.