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Capital Accumulation and Horizontal Mergers in Differential Oligopoly Games

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  • R. Cellini
  • L. Lambertini

Abstract

The existing (static) literature stresses the relevance of capital inputs in determining whether any given merger is (i) profitable and (ii) socially efficient, or not. We take a differential game approach to the same issue, proposing two different models based, respectively, on the capital accumulation dynamics introduced by Ramsey and Solow, respectively. We show that the change in the steady state size of productive plants induced by a merger may play a decisive role in determining whether such a merger is profitable, or socially efficient. However, unlike the static contributions in the same vein, we show that the parameter sets where, respectively, firms find it convenient to merge, and the merger is welfare-increasing, do not intersect at all, irrespectively of the capital accumulation dynamics being considered. This entails that a regulator concerned with the welfare performance of an industry should prevent firms from carrying out any horizontal merger.

Suggested Citation

  • R. Cellini & L. Lambertini, 2003. "Capital Accumulation and Horizontal Mergers in Differential Oligopoly Games," Working Papers 477, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:477
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    References listed on IDEAS

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    1. Ramón Faulí-Oller, 1997. "On merger profitability in a cournot setting," Working Papers. Serie AD 1997-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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    3. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
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    5. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-227, March.
    6. David Hennessy, 2000. "Cournot Oligopoly Conditions under which Any Horizontal Merger Is Profitable," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 17(3), pages 277-284, November.
    7. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    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. Fauli-Oller, Ramon, 1997. "On merger profitability in a Cournot setting," Economics Letters, Elsevier, vol. 54(1), pages 75-79, January.
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    11. McAfee, R Preston & Williams, Michael A, 1992. "Horizontal Mergers and Antitrust Policy," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 181-187, June.
    12. R. Cellini & L. Lambertini, 2000. "Non-Linear Market Demand and Capital Accumulation in A Differential Oligopoly Game," Working Papers 372, Dipartimento Scienze Economiche, Universita' di Bologna.
    13. Cellini, Roberto & Lambertini, Luca, 1998. "A Dynamic Model of Differentiated Oligopoly with Capital Accumulation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 145-155, November.
    14. Kwoka, John Jr., 1989. "The private profitability of horizontal mergers with non-Cournot and Maverick behavior," International Journal of Industrial Organization, Elsevier, vol. 7(3), pages 403-411.
    15. Stephen W. Salant & Sheldon Switzer & Robert J. Reynolds, 1983. "Losses From Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, Oxford University Press, vol. 98(2), pages 185-199.
    16. R. Cellini & L. Lambertini, 2002. "Price vs Quantity in a Dynamic Duopoly Game with Capacity Accumulation," Working Papers 449, Dipartimento Scienze Economiche, Universita' di Bologna.
    17. Raymond Deneckere & Carl Davidson, 1985. "Incentives to Form Coalitions with Bertrand Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 473-486, Winter.
    18. 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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