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An Aggregative Games Approach to Merger Analysis in Multiproduct-Firm Oligopoly

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  • Volker Nocke
  • Nicolas Schutz

Abstract

Using an aggregative games approach, we analyze horizontal mergers in a model of multiproduct-firm price competition with nested CES or nested logit demands. We show that the Herfindahl index provides an adequate measure of the welfare distortions introduced by market power, and that the induced change in the naively-computed Herfindahl index is a good approximation for the market power effect of a merger. We also provide conditions under which a merger raises consumer surplus, and conditions under which a myopic, consumer-surplus-based merger approval policy is dynamically optimal. Finally, we study the aggregate surplus and external effects of a merger.

Suggested Citation

  • Volker Nocke & Nicolas Schutz, 2018. "An Aggregative Games Approach to Merger Analysis in Multiproduct-Firm Oligopoly," CRC TR 224 Discussion Paper Series crctr224_2018_024, University of Bonn and University of Mannheim, Germany.
  • Handle: RePEc:bon:boncrc:crctr224_2018_024
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    1. Zhao, Jingang, 2001. "A characterization for the negative welfare effects of cost reduction in Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 455-469, March.
    2. Werden, Gregory J & Froeb, Luke M, 1994. "The Effects of Mergers in Differentiated Products Industries: Logit Demand and Merger Policy," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 10(2), pages 407-426, October.
    3. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
    4. Jerry Hausman & Gregory Leonard & J. Douglas Zona, 1994. "Competitive Analysis with Differentiated Products," Annals of Economics and Statistics, GENES, issue 34, pages 143-157.
    5. repec:adr:anecst:y:1994:i:34:p:06 is not listed on IDEAS
    6. Diego Restuccia & Richard Rogerson, 2017. "The Causes and Costs of Misallocation," Journal of Economic Perspectives, American Economic Association, vol. 31(3), pages 151-174, Summer.
    7. Federico, Giulio & Langus, Gregor & Valletti, Tommaso, 2018. "Horizontal mergers and product innovation," International Journal of Industrial Organization, Elsevier, vol. 59(C), pages 1-23.
    8. Ben Mermelstein & Volker Nocke & Mark A. Satterthwaite & Michael D. Whinston, 2020. "Internal versus External Growth in Industries with Scale Economies: A Computational Model of Optimal Merger Policy," Journal of Political Economy, University of Chicago Press, vol. 128(1), pages 301-341.
    9. Volker Nocke & Michael D. Whinston, 2010. "Dynamic Merger Review," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1201-1251.
    10. Robert C. Feenstra & David E. Weinstein, 2017. "Globalization, Markups, and US Welfare," Journal of Political Economy, University of Chicago Press, vol. 125(4), pages 1040-1074.
    11. Mark Armstrong & John Vickers, 2018. "Multiproduct Pricing Made Simple," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1444-1471.
    12. Colin J. Hottman & Stephen J. Redding & David E. Weinstein, 2016. "Quantifying the Sources of Firm Heterogeneity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1291-1364.
    13. Anderson, Simon P. & De Palma, Andre & Thisse, Jacques-Francois, 1987. "The CES is a discrete choice model?," Economics Letters, Elsevier, vol. 24(2), pages 139-140.
    14. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    15. Pinelopi Koujianou Goldberg & Frank Verboven, 2001. "The Evolution of Price Dispersion in the European Car Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 811-848.
    16. Dansby, Robert E & Willig, Robert D, 1979. "Industry Performance Gradient Indexes," American Economic Review, American Economic Association, vol. 69(3), pages 249-260, June.
    17. Lahiri, Sajal & Ono, Yoshiyasu, 1988. "Helping Minor Firms Reduces Welfare," Economic Journal, Royal Economic Society, vol. 98(393), pages 1199-1202, December.
    18. Motta, Massimo & Tarantino, Emanuele, 2021. "The effect of horizontal mergers, when firms compete in prices and investments," International Journal of Industrial Organization, Elsevier, vol. 78(C).
    19. 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, President and Fellows of Harvard College, vol. 98(2), pages 185-199.
    20. Nathan H. Miller & Matthew C. Weinberg, 2017. "Understanding the Price Effects of the MillerCoors Joint Venture," Econometrica, Econometric Society, vol. 85(6), pages 1763-1791, November.
    21. Volker Nocke & Nicolas Schutz, 2018. "Multiproduct‐Firm Oligopoly: An Aggregative Games Approach," Econometrica, Econometric Society, vol. 86(2), pages 523-557, March.
    22. Nevo, Aviv & Rossi, Federico, 2008. "An approach for extending dynamic models to settings with multi-product firms," Economics Letters, Elsevier, vol. 100(1), pages 49-52, July.
    23. Whinston, Michael D., 2007. "Antitrust Policy toward Horizontal Mergers," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 36, pages 2369-2440, Elsevier.
    24. Frank Verboven, 1996. "International Price Discrimination in the European Car Market," RAND Journal of Economics, The RAND Corporation, vol. 27(2), pages 240-268, Summer.
    25. Simon P. Anderson, Nisvan Erkal and, 2009. "Aggregative Oligopoly Games with Entry," Department of Economics - Working Papers Series 1175, The University of Melbourne, revised 2013.
    26. Marie Goppelsroeder & Maarten Pieter Schinkel & Jan Tuinstra, 2008. "Quantifying The Scope For Efficiency Defense In Merger Control: The Werden‐Froeb‐Index," Journal of Industrial Economics, Wiley Blackwell, vol. 56(4), pages 778-808, December.
    27. Goldberg, Pinelopi Koujianou, 1995. "Product Differentiation and Oligopoly in International Markets: The Case of the U.S. Automobile Industry," Econometrica, Econometric Society, vol. 63(4), pages 891-951, July.
    28. Cumbul, Eray & Virág, Gábor, 2018. "Multilateral limit pricing in price-setting games," Games and Economic Behavior, Elsevier, vol. 111(C), pages 250-273.
    29. Werden, Gregory J, 1996. "A Robust Test for Consumer Welfare Enhancing Mergers among Sellers of Differentiated Products," Journal of Industrial Economics, Wiley Blackwell, vol. 44(4), pages 409-413, December.
    30. Bresnahan, Timothy F., 1989. "Empirical studies of industries with market power," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 2, chapter 17, pages 1011-1057, Elsevier.
    31. Guillermo Gallego & Ruxian Wang, 2014. "Multiproduct Price Optimization and Competition Under the Nested Logit Model with Product-Differentiated Price Sensitivities," Operations Research, INFORMS, vol. 62(2), pages 450-461, April.
    32. 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.
    33. repec:bla:econom:v:43:y:1976:i:171:p:267-74 is not listed on IDEAS
    34. 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.
    35. Basile Grassi, 2018. "IO in I-O: Size, Industrial Organization, and the Input-Output NetworkMake a Firm Structurally Important," Working Papers 619, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    36. Sonia Jaffe & E. Glen Weyl, 2013. "The First-Order Approach to Merger Analysis," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 188-218, November.
    37. Morton I. Kamien & Israel Zang, 1990. "The Limits of Monopolization Through Acquisition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 465-499.
    38. Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
    39. Bourreau, Marc & Jullien, Bruno & Lefouili, Yassine, 2018. "Horizontal Mergers and Incremental Innovation," TSE Working Papers 18-907, Toulouse School of Economics (TSE), revised Jul 2024.
    40. 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.
    41. Gautam Gowrisankaran, 1999. "A Dynamic Model of Endogenous Horizonal Mergers," RAND Journal of Economics, The RAND Corporation, vol. 30(1), pages 56-83, Spring.
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    More about this item

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L40 - Industrial Organization - - Antitrust Issues and Policies - - - General

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