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Endogenous Timing of Investments Yields Modified Stackelberg Outcomes

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  • Bergman, Mats A.

    (Dept. of Economics, Stockholm School of Economics)

Abstract

This paper deals with capacity constrained price competition in a duopoly model. The model resembles that in Kreps and Scheinkman (1983), but the timing of the investment/capacity choice is endogenous. In equilibrium, one of the firms will invest to become the Stackelberg leader, although the ratio between the leader's and the follower's capacities is smaller than in the standard Stackelberg outcome. Capacity is built too early, resulting in welfare losses. The leader and the follower will earn equal profits, except when capacity costs are small.

Suggested Citation

  • Bergman, Mats A., 1998. "Endogenous Timing of Investments Yields Modified Stackelberg Outcomes," SSE/EFI Working Paper Series in Economics and Finance 272, Stockholm School of Economics.
    • Handle: RePEc:hhs:hastef:0272
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    1. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
    2. Gilbert, Richard J., 1989. "Mobility barriers and the value of incumbency," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 8, pages 475-535, Elsevier.
    3. Jean-Pierre Benoit & Vijay Krishna, 1987. "Dynamic Duopoly: Prices and Quantities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 23-35.
    4. Raymond J. Deneckere & Dan Kovenock, 1988. "Capacity-Constrained Price Competition When Unit Costs Differ," Discussion Papers 861, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Davidson, Carl & Deneckere, Raymond J, 1990. "Excess Capacity and Collusion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 521-541, August.
    6. Allen, Beth, 1993. "Capacity precommitment as an entry barrier for price-setting firms," International Journal of Industrial Organization, Elsevier, vol. 11(1), pages 63-72, March.
    7. Anderson, Simon P & Engers, Maxim, 1994. "Strategic Investment and Timing of Entry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 833-853, November.
    8. Richard J. Gilbert & Richard G. Harris, 1984. "Competition with Lumpy Investment," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 197-212, Summer.
    9. Dixit, Avinash, 1980. "The Role of Investment in Entry-Deterrence," Economic Journal, Royal Economic Society, vol. 90(357), pages 95-106, March.
    10. Robert W. Staiger & Frank A. Wolak, 1992. "Collusive Pricing with Capacity Constraints in the Presence of Demand Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 23(2), pages 203-220, Summer.
    11. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    12. Holden, Steinar & Riis, Christian, 1994. "Entry into a new market a game of timing," International Journal of Industrial Organization, Elsevier, vol. 12(4), pages 549-568, December.
    13. Spulber, Daniel F, 1981. "Capacity, Output, and Sequential Entry," American Economic Review, American Economic Association, vol. 71(3), pages 503-514, June.
    14. David E. Mills, 1988. "Preemptive Investment Timing," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 114-122, Spring.
    15. Raymond J. Deneckere & Dan Kovenock, 1992. "Price Leadership," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 143-162.
      • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    16. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, I: Overview and Quantity Competition with Large Fixed Costs," Econometrica, Econometric Society, vol. 56(3), pages 549-569, May.
    17. Dan Kovenock & Raymond Deneckere & Tom Faith & Beth Allen, 2000. "Capacity precommitment as a barrier to entry: A Bertrand-Edgeworth approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 501-530.
    18. Robson, Arthur J, 1990. "Duopoly with Endogenous Strategic Timing: Stackelberg Regained," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 263-274, May.
    19. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    20. B. Curtis Eaton & Richard G. Lipsey, 1980. "Exit Barriers are Entry Barriers: The Durability of Capital as a Barrier to Entry," Bell Journal of Economics, The RAND Corporation, vol. 11(2), pages 721-729, Autumn.
    21. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    22. A. Michael Spence, 1977. "Entry, Capacity, Investment and Oligopolistic Pricing," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 534-544, Autumn.
    23. Morten Hviid, 1990. "Sequential capacity and price choices in a duopoly model with demand uncertainty," Journal of Economics, Springer, vol. 51(2), pages 121-144, June.
    24. Allen, B., 1994. "Capacity Precommitment as a Barrier to Entry : A Bertrand-Edgeworth Approach," Other publications TiSEM 484392d4-9532-4a91-adfc-4, Tilburg University, School of Economics and Management.
    25. Riordan, Michael H & Salant, David J, 1994. "Preemptive Adoptions of an Emerging Technology," Journal of Industrial Economics, Wiley Blackwell, vol. 42(3), pages 247-261, September.
    26. Drew Fudenberg & Jean Tirole, 1985. "Preemption and Rent Equalization in the Adoption of New Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 383-401.
    27. Ram C. Rao & David P. Rutenberg, 1979. "Preempting an Alert Rival: Strategic Timing of the First Plant by Analysis of Sophisticated Rivalry," Bell Journal of Economics, The RAND Corporation, vol. 10(2), pages 412-428, Autumn.
    28. Leonard F. Herk, 1993. "Consumer Choice and Cournot Behavior in Capacity-Constrained Duopoly Competition," RAND Journal of Economics, The RAND Corporation, vol. 24(3), pages 399-417, Autumn.
    29. William A. Brock & José A. Scheinkman, 1985. "Price Setting Supergames with Capacity Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 371-382.
    30. Pal, Debashis, 1996. "Endogenous Stackelberg Equilibria with Identical Firms," Games and Economic Behavior, Elsevier, vol. 12(1), pages 81-94, January.
    31. Allen, B., 1994. "Capacity Precommitment as a Barrier to Entry : A Bertrand-Edgeworth Approach," Discussion Paper 1994-83, Tilburg University, Center for Economic Research.
    32. 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.
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    Cited by:

    1. Mats Bergman, 2005. "When Should an Incumbent be Obliged to Share its Infrastructure with an Entrant Under the General Competition Rules?," Journal of Industry, Competition and Trade, Springer, vol. 5(1), pages 5-26, January.

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    More about this item

    Keywords

    Bertrand; Cournot; Stackelberg; strategic investment; excess capacity; games of timing; endogenous entry; rent equalization.;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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