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Endogenous Mergers in Markets with Vertically Differentiated Products

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  • Jaskold Gabszewicz, Jean
  • Marini, Marco A.
  • Tarola, Ornella

Abstract

This paper studies the incentives of firms selling vertically differentiated products to merge. To this aim, we introduce a three-stage game in which, at the first stage, three independent firms can decide to merge with their competitors via a sequential game of coalition formation and, at the second and third stage, they can optimally revise their qualities and prices, respectively. We study whether such binding agreements (i.e. full or partial mergers) can be sustained as subgame perfect equilibria of the coalition formation game, and analyze their effects on equilibrium qualities, prices and profits. We find that, although profitable, the merger-to-monopoly of all firms is not an outcome of the finite-horizon negotiation, where only partial mergers arise. Moroever, we show that all stable mergers always include the firm initially producing the bottom quality good and reduce the number of variants on sale.

Suggested Citation

  • Jaskold Gabszewicz, Jean & Marini, Marco A. & Tarola, Ornella, 2017. "Endogenous Mergers in Markets with Vertically Differentiated Products," MPRA Paper 80528, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:80528
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    1. George Norman & Lynne Pepall & Daniel Richards, 2005. "Product differentiation, cost‐reducing mergers, and consumer welfare," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(4), pages 1204-1223, November.
    2. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    3. 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.
    4. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2017. "Vertical differentiation and collusion: Pruning or proliferation?," Research in Economics, Elsevier, vol. 71(1), pages 129-139.
    5. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2016. "Core existence in vertically differentiated markets," Economics Letters, Elsevier, vol. 149(C), pages 28-32.
    6. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
    7. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    8. Jaskold Gabszewicz, Jean & Shaked, Avner & Sutton, John & Thisse, Jacques-Francois, 1986. "Segmenting the market: The monopolist's optimal product mix," Journal of Economic Theory, Elsevier, vol. 39(2), pages 273-289, August.
    9. Lommerud, Kjell Erik & Sorgard, Lars, 1997. "Merger and product range rivalry," International Journal of Industrial Organization, Elsevier, vol. 16(1), pages 21-42, November.
    10. Mario Pezzino, 2010. "Minimum Quality Standards with More Than Two Firms Under Cournot Competition," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(3), pages 26-45, August.
    11. George, Lisa, 2007. "What's fit to print: The effect of ownership concentration on product variety in daily newspaper markets," Information Economics and Policy, Elsevier, vol. 19(3-4), pages 285-303, October.
    12. Motta, Massimo, 1992. "Cooperative R&D and vertical product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 643-661, December.
    13. Lambertini, Luca & Poddar, Sougata & Sasaki, Dan, 2002. "Research joint ventures, product differentiation, and price collusion," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 829-854, June.
    14. Steven T. Berry & Joel Waldfogel, 2001. "Do Mergers Increase Product Variety? Evidence from Radio Broadcasting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(3), pages 1009-1025.
    15. Andrew Sweeting, 2010. "The effects of mergers on product positioning: evidence from the music radio industry," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 372-397, June.
    16. Francis Bloch, 2002. "Coalitions and Networks in Industrial Organization," Manchester School, University of Manchester, vol. 70(1), pages 36-55, January.
    17. Wauthy, Xavier, 1996. "Quality Choice in Models of Vertical Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 44(3), pages 345-353, September.
    18. Eric Giraud-Héraud & Hakim Hammoudi & Mahdi Mokrane, 2003. "Multiproduct firm behaviour in a differentiated market," Canadian Journal of Economics, Canadian Economics Association, vol. 36(1), pages 41-61, February.
    19. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    20. Ying Fan, 2013. "Ownership Consolidation and Product Characteristics: A Study of the US Daily Newspaper Market," American Economic Review, American Economic Association, vol. 103(5), pages 1598-1628, August.
    21. Justin P. Johnson & David P. Myatt, 2003. "Multiproduct Quality Competition: Fighting Brands and Product Line Pruning," American Economic Review, American Economic Association, vol. 93(3), pages 748-774, June.
    22. Eric Giraud‐Héraud & Hakim Hammoudi & Mahdi Mokrane, 2003. "Multiproduct firm behaviour in a differentiated market," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(1), pages 41-61, March.
    23. Ornella Tarola & Jean Gabszewicz & Didier Laussel, 2011. "To Acquire, or To Compete? An Entry Dilemma," Journal of Industry, Competition and Trade, Springer, vol. 11(4), pages 369-383, December.
    24. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2016. "Vertical Differentiation and Collusion: Cannibalization or Proliferation?," ETA: Economic Theory and Applications 232221, Fondazione Eni Enrico Mattei (FEEM).
    25. Marco A. Marini, 2018. "Collusive agreements in vertically differentiated markets," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume II, chapter 3, pages 34-56, Edward Elgar Publishing.
    26. Gene M. Grossman & Carl Shapiro, 1988. "Foreign Counterfeiting of Status Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 79-100.
    27. Lambertini Luca, 2000. "Technology and Cartel Stability under Vertical Differentiation," German Economic Review, De Gruyter, vol. 1(4), pages 421-442, December.
    28. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    29. Kurt R. Brekke & Luigi Siciliani & Odd Rune Straume, 2017. "Horizontal mergers and product quality," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(4), pages 1063-1103, November.
    30. Bonnisseau Jean-Marc & Lahmandi-Ayed Rim, 2006. "Vertical Differentiation: Multiproduct Strategy to Face Entry?," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-16, November.
    31. Moldovanu, Benny, 1992. "Coalition-proof nash equilibria and the core in three-player games," Games and Economic Behavior, Elsevier, vol. 4(4), pages 565-581, October.
    32. Hackner, Jonas, 1994. "Collusive pricing in markets for vertically differentiated products," International Journal of Industrial Organization, Elsevier, vol. 12(2), pages 155-177, June.
    33. Belleflamme, Paul, 2000. "Stable Coalition Structures with Open Membership and Asymmetric Firms," Games and Economic Behavior, Elsevier, vol. 30(1), pages 1-21, January.
    34. Giulio Ecchia & Luca Lambertini, 1997. "Minimum Quality Standards and Collusion," Journal of Industrial Economics, Wiley Blackwell, vol. 45(1), pages 101-113, March.
    35. Scarpa, Carlo, 1998. "Minimum quality standards with more than two firms1," International Journal of Industrial Organization, Elsevier, vol. 16(5), pages 665-676, September.
    36. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 3-13.
    37. Liran Einav, 2010. "Not All Rivals Look Alike: Estimating An Equilibrium Model Of The Release Date Timing Game," Economic Inquiry, Western Economic Association International, vol. 48(2), pages 369-390, April.
    38. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    39. repec:bla:jindec:v:45:y:1997:i:1:p:101-13 is not listed on IDEAS
    40. Gabszewicz, Jean J. & Wauthy, Xavier Y., 2002. "Quality underprovision by a monopolist when quality is not costly," Economics Letters, Elsevier, vol. 77(1), pages 65-72, September.
    41. Michaela Draganska & Michael Mazzeo & Katja Seim, 2009. "Beyond plain vanilla: Modeling joint product assortment and pricing decisions," Quantitative Marketing and Economics (QME), Springer, vol. 7(2), pages 105-146, June.
    42. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
    43. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    44. Peters, Craig, 2006. "Evaluating the Performance of Merger Simulation: Evidence from the U.S. Airline Industry," Journal of Law and Economics, University of Chicago Press, vol. 49(2), pages 627-649, October.
    45. Katja Seim, 2006. "An empirical model of firm entry with endogenous product‐type choices," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 619-640, September.
    46. Carlo Carraro (ed.), 2003. "The Endogenous Formation of Economic Coalitions," Books, Edward Elgar Publishing, number 2999.
    47. Michael J. Mazzeo, 2002. "Product Choice and Oligopoly Market Structure," RAND Journal of Economics, The RAND Corporation, vol. 33(2), pages 221-242, Summer.
    48. Michael Mazzeo, 2003. "Competition and Service Quality in the U.S. Airline Industry," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 22(4), pages 275-296, June.
    49. Amit Gandhi & Luke Froeb & Steven Tschantz & Gregory J. Werden, 2008. "Post‐Merger Product Repositioning," Journal of Industrial Economics, Wiley Blackwell, vol. 56(1), pages 49-67, March.
    50. 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. Bos, Iwan & Marini, Marco A. & Saulle, Riccardo D., 2020. "Cartel formation with quality differentiation," Mathematical Social Sciences, Elsevier, vol. 106(C), pages 36-50.
    2. Napel, Stefan & Welter, Dominik, 2023. "Umbrella pricing and cartel size," International Journal of Industrial Organization, Elsevier, vol. 91(C).

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    More about this item

    Keywords

    Mergers; Price Collusion; Vertically Differentiated Products; Sequential Game of Coalition Formation.;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L16 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Industrial Organization and Macroeconomics; Macroeconomic Industrial Structure
    • L4 - Industrial Organization - - Antitrust Issues and Policies
    • L41 - Industrial Organization - - Antitrust Issues and Policies - - - Monopolization; Horizontal Anticompetitive Practices
    • L43 - Industrial Organization - - Antitrust Issues and Policies - - - Legal Monopolies and Regulation or Deregulation

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