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Stackelberg Leadership in a Dynamic Duopoly with Capital Accumulation

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  • 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
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    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Fershtman, Chaim & Muller, Eitan, 1984. "Capital accumulation games of infinite duration," Journal of Economic Theory, Elsevier, vol. 33(2), pages 322-339, August.
    3. 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.
    4. 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.
    5. 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.
    6. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
    7. Audretsch,David B. & Thurik,Roy (ed.), 1999. "Innovation, Industry Evolution and Employment," Cambridge Books, Cambridge University Press, number 9780521641661, November.
    8. 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.
    9. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    10. 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.
    11. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. Cabral, Luis, 1995. "Sunk Costs, Firm Size and Firm Growth," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 161-172, June.
    23. 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.
    24. 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.
    25. 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.
    26. Geroski, P. A., 1995. "What do we know about entry?," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 421-440, December.
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