IDEAS home Printed from https://ideas.repec.org/p/bol/bodewp/442.html
   My bibliography  Save this paper

Stackelberg Leadership in a Dynamic Duopoly with Capital Accumulation

Author

Listed:
  • L. Lambertini

Abstract

I propose a dynamic duopoly model where firms enter simultaneously but compete hierarchically la Stackelberg at each instant over time. They accumulate capacity through costly investment, as in Solow s (1956) growth model. The leader invests more than the followers as a result, in steady state the leader s capacity and profits are larger than the follower`s. Therefore, the present analysis does not confirm Gibrat`s Law, since the individual growth rate is determined by the timing of moves.

Suggested Citation

  • L. Lambertini, 2002. "Stackelberg Leadership in a Dynamic Duopoly with Capital Accumulation," Working Papers 442, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:442
    as

    Download full text from publisher

    File URL: https://amsacta.unibo.it/4856/1/442.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Persson, Mats & Persson, Torsten & Svensson, Lars E O, 1987. "Time Consistency of Fiscal and Monetary Policy," Econometrica, Econometric Society, vol. 55(6), pages 1419-1431, November.
    3. A. Michael Spence, 1979. "Investment Strategy and Growth in a New Market," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 1-19, Spring.
    4. Pakes, Ariel & Ericson, Richard, 1998. "Empirical Implications of Alternative Models of Firm Dynamics," Journal of Economic Theory, Elsevier, vol. 79(1), pages 1-45, March.
    5. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    6. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    7. Calvo, Guillermo A, 1978. "On the Time Consistency of Optimal Policy in a Monetary Economy," Econometrica, Econometric Society, vol. 46(6), pages 1411-1428, November.
    8. R. Cellini & L. Lambertini, 2001. "Differential Oligopoly Games where the Closed-Loop Memoryless and Open-Loop Equilibria Coincide," Working Papers 402, Dipartimento Scienze Economiche, Universita' di Bologna.
    9. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    10. Stephen Hymer & Peter Pashigian, 1962. "Firm Size and Rate of Growth," Journal of Political Economy, University of Chicago Press, vol. 70(6), pages 556-556.
    11. Fudenberg, Drew & Tirole, Jean, 1983. "Capital as a commitment: Strategic investment to deter mobility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 227-250, December.
    12. Francesca Lotti & Enrico Santarelli & Marco Vivarelli, 2001. "Is It Really Wise to Design Policies in Support of New Firm Formation?," Rivista di Politica Economica, SIPI Spa, vol. 91(4), pages 151-170, April-May.
    13. Cabral, Luis, 1995. "Sunk Costs, Firm Size and Firm Growth," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 161-172, June.
    14. Robert E. Lucas Jr., 1978. "On the Size Distribution of Business Firms," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 508-523, Autumn.
    15. Xie, Danyang, 1997. "On Time Inconsistency: A Technical Issue in Stackelberg Differential Games," Journal of Economic Theory, Elsevier, vol. 76(2), pages 412-430, October.
    16. Geroski, P. A., 1995. "What do we know about entry?," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 421-440, December.
    17. Fershtman, Chaim & Muller, Eitan, 1984. "Capital accumulation games of infinite duration," Journal of Economic Theory, Elsevier, vol. 33(2), pages 322-339, August.
    18. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
    19. Audretsch,David B. & Thurik,Roy (ed.), 1999. "Innovation, Industry Evolution and Employment," Cambridge Books, Cambridge University Press, number 9780521641661, June.
    20. Turnovsky, Stephen J. & Brock, William A., 1980. "Time consistency and optimal government policies in perfect foresight equilibrium," Journal of Public Economics, Elsevier, vol. 13(2), pages 183-212, April.
    21. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    22. Reynolds, Stanley S, 1987. "Capacity Investment, Preemption and Commitment in an Infinite Horizon Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 69-88, February.
    23. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    24. Rajshree Agarwal & David B. Audretsch, 2001. "Does Entry Size Matter? The Impact of the Life Cycle and Technology on Firm Survival," Journal of Industrial Economics, Wiley Blackwell, vol. 49(1), pages 21-43, March.
    25. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    26. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    Full references (including those not matched with items on IDEAS)

    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. Enrico Santarelli & Marco Vivarelli, 2007. "Entrepreneurship and the process of firms’ entry, survival and growth," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 16(3), pages 455-488, June.
    2. Sleuwaegen, Leo & Goedhuys, Micheline, 2002. "Growth of firms in developing countries, evidence from Cote d'Ivoire," Journal of Development Economics, Elsevier, vol. 68(1), pages 117-135, June.
    3. Marco Vivarelli, 2013. "Is entrepreneurship necessarily good? Microeconomic evidence from developed and developing countries," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 22(6), pages 1453-1495, December.
    4. Geurts, Karen & Van Biesebroeck, Johannes, 2016. "Firm creation and post-entry dynamics of de novo entrants," International Journal of Industrial Organization, Elsevier, vol. 49(C), pages 59-104.
    5. Guidi, Francesco & Solomon, Edna & Trushin, Eshref & Ugur, Mehmet, 2015. "Inverted-U relationship between innovation and survival: Evidence from firm-level UK data," EconStor Preprints 110896, ZBW - Leibniz Information Centre for Economics.
    6. Almus, Matthias, 2001. "Das Wachstum junger Unternehmen: Eine Bestandsaufnahme 10 Jahre nach der Wiedervereinigung," ZEW Discussion Papers 01-40, ZEW - Leibniz Centre for European Economic Research.
    7. Raquel Ortega-Argilés & Rosina Moreno, 2005. "Firm Competitive Strategies And The Likelihood Of Survival - The Spanish Case," ERSA conference papers ersa05p347, European Regional Science Association.
    8. Zoltán J. Ács & Pamela Mueller, 2015. "Employment effects of business dynamics: Mice, Gazelles and Elephants," Chapters, in: Global Entrepreneurship, Institutions and Incentives, chapter 16, pages 304-319, Edward Elgar Publishing.
    9. Francesco Quatraro & Marco Vivarelli, 2015. "Drivers of Entrepreneurship and Post-entry Performance of Newborn Firms in Developing Countries," The World Bank Research Observer, World Bank, vol. 30(2), pages 277-305.
    10. Francesca Lotti & Enrico Santarelli & Marco Vivarelli, 2009. "Defending Gibrat’s Law as a long-run regularity," Small Business Economics, Springer, vol. 32(1), pages 31-44, January.
    11. Blandina Oliveira & Adelino Fortunato, 2006. "Testing Gibrat's Law: Empirical Evidence from a Panel of Portuguese Manufacturing Firms," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 13(1), pages 65-81.
    12. Flora Bellone & Patrick Musso & Michel Quéré & Lionel Nesta, 2006. "Productivity and Market Selection of French Manufacturing Firms in the Nineties," Revue de l'OFCE, Presses de Sciences-Po, vol. 97(5), pages 319-349.
    13. Lee, Chang-Yang, 2010. "A theory of firm growth: Learning capability, knowledge threshold, and patterns of growth," Research Policy, Elsevier, vol. 39(2), pages 278-289, March.
    14. David B. Audretsch & Max Keilbach, 2006. "Entrepreneurship, Growth and Restructuring," Papers on Entrepreneurship, Growth and Public Policy 2006-13, Max Planck Institute of Economics, Entrepreneurship, Growth and Public Policy Group.
    15. Francesca Lotti & Enrico Santarelli, 2004. "Industry Dynamics and the Distribution of Firm Sizes: A Nonparametric Approach," Southern Economic Journal, John Wiley & Sons, vol. 70(3), pages 443-466, January.
    16. Cefis, Elena & Ciccarelli, Matteo & Orsenigo, Luigi, 2007. "Testing Gibrat's legacy: A Bayesian approach to study the growth of firms," Structural Change and Economic Dynamics, Elsevier, vol. 18(3), pages 348-369, September.
    17. Roberta Piergiovanni, 2010. "Gibrat's Law in the “Third Italy”: Firm Growth in the Veneto Region," Growth and Change, Wiley Blackwell, vol. 41(1), pages 28-58, March.
    18. Calzolari, Giacomo & Lambertini, Luca, 2007. "Export restraints in a model of trade with capital accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3822-3842, December.
    19. Baldini, Massimo & Lambertini, Luca, 2011. "Profit taxation and capital accumulation in a dynamic oligopoly model," Japan and the World Economy, Elsevier, vol. 23(1), pages 13-18, January.
    20. Vivarelli, Marco, 2012. "Drivers of entrepreneurship and post-entry performance : microeconomic evidence from advanced and developing countries," Policy Research Working Paper Series 6245, The World Bank.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bol:bodewp:442. 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: Dipartimento Scienze Economiche, Universita' di Bologna (email available below). General contact details of provider: https://edirc.repec.org/data/sebolit.html .

    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.