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The Profitability of Small Horizontal Mergers with Nonlinear Demand Functions

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Abstract

We want to take a differential game approach with price dynamics to conduct an investigation into the consequences of horizontal merger of firms where the demand function is nonlinear. We take into consideration the open-loop equilibrium. We show that in relation to the fact that the demand is nonlinear and prices follow some stickiness an incentive for small merger exists, while it does not appear under the standard approach using a linear demand function.

Suggested Citation

  • H. Esfahani & L. Lambertini, 2011. "The Profitability of Small Horizontal Mergers with Nonlinear Demand Functions," Working Papers wp728, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp728
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    1. Dockner, Engelbert J. & Gaunersdorfer, Andrea, 2001. "On the profitability of horizontal mergers in industries with dynamic competition," Japan and the World Economy, Elsevier, vol. 13(3), pages 195-216, August.
    2. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
    3. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    4. Hassan Benchekroun, 2003. "The closed‐loop effect and the profitability of horizontal mergers," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(3), pages 546-565, August.
    5. Levin, Dan, 1990. "Horizontal Mergers: The 50-Percent Benchmark," American Economic Review, American Economic Association, vol. 80(5), pages 1238-1245, December.
    6. 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.
    7. R. Cellini & L. Lambertini, 2000. "Dynamic Oligopoly with Sticky Prices: Closed-Loop,Feedback and Open-Loop Solutions," Working Papers 393, Dipartimento Scienze Economiche, Universita' di Bologna.
    8. 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.
    9. Gaudet, Gerard & Salant, Stephen W, 1991. "Increasing the Profits of a Subset of Firms in Oligopoly Models with Strategic Substitutes," American Economic Review, American Economic Association, vol. 81(3), pages 658-665, June.
    10. 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.
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    Cited by:

    1. Lambertini, Luca & Palestini, Arsen, 2014. "On the feedback solutions of differential oligopoly games with hyperbolic demand curve and capacity accumulation," European Journal of Operational Research, Elsevier, vol. 236(1), pages 272-281.
    2. Esfahani, Hamideh, 2019. "Profitability of horizontal mergers in the presence of price stickiness," European Journal of Operational Research, Elsevier, vol. 279(3), pages 941-950.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • G34 - Financial Economics - - Corporate Finance and Governance - - - Mergers; Acquisitions; Restructuring; Corporate Governance
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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