Abstract
This paper examines endogenous merger formations in a mixed oligopoly. Applying the core as a solution concept, we analyze which market structure(s) remain(s) stable when three firms—two symmetric private firms and one inefficient public firm—are allowed to merge with each other in a mixed Cournot industry. We show that according to the value of the marginal cost of the public firm, there always exists a pair of share ratios of the owners of both the (pre-merged) public firm and the (pre-merged) private firm such that the market structure with the merger between the public firm and one private firm belongs to the core. When the initial market structure is a mixed triopoly, it can only be blocked when one public firm and one private firm merge. Furthermore, we conduct a similar analysis in a general mixed oligopoly with one public firm and n private firms.
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Banal-Estañol A, Macho-Stadler I, Seldeslachts J (2008) Endogenous mergers and endogenous efficiency gains: the efficiency defence revisited. Int J Ind Organ 26:69–91
Bárcena-Ruiz JC, Garzón MB (2003) Mixed duopoly, merger and multiproduct firms. J Econ 80:27–42
Bárcena-Ruiz JC, Garzón MB (2006) Mixed oligopoly and environmental policy. Span Econ Rev 8:139–160
Barros PP (1998) Endogenous merger and size asymmetry of merger participants. Econ Lett 60:113–119
Brito G, Gata J (2006) Merger stability in a three firm game. Portuguese competition authority working paper
Coloma G (1998) Mergers and acquisitions in mixed-oligopoly markets. Int J Bus Econ 5: 147–159
Corneo G, Jeanne O (1994) Oligopole Mixte dans un Marché Commun. Ann Econ Stat 33: 73–90
Deneckere R, Davidson C (1983) Coalition formation in non-cooperative oligopoly models. Michigan State University working paper series no 8302, Mimeo
Faulí-Oller R (2000) Takeover waves. J Econ Manag Strat 9: 189–210
Fjell K, Heywood JS (2002) Public Stackelberg leadership in a mixed oligopoly with foreign firms. Aust Econ Pap 41: 267–281
Fjell K, Pal D (1996) A mixed oligopoly in the presence of foreign private firms. Can J Econ 29: 737–743
Fujiwara K (2006) Trade patterns in an international mixed oligopoly. Econ Bull 6: 1–7
González-Maestre M, López-Cuñat J (2001) Delegation and mergers in oligopoly. Int J Ind Organ 19: 1263–1279
Gowrisankaran G (1999) A dynamic model of endogenous horizontal mergers. RAND J Econ 30: 56–83
Gowrisankaran G, Holmes TJ (2004) Mergers and the evolution of industry concentration: results from the dominant-firm model. RAND J Econ 35: 561–582
Heywood JS, Mcginty M (2007) Convex costs and the merger paradox revisited. Econ Inq 45: 342–349
Horn H, Persson L (2001) Endogenous mergers in concentrated markets. Int J Ind Organ 19: 1213–1244
Huck S, Konrad K (2004) Merger profitability and trade policy. Scand J Econ 106: 107–122
Ishibashi I, Matsumura T (2006) R&D competition between public and private sectors. Euro Econ Rev 50: 1347–1366
Kamaga K, Nakamura Y (2007) The core and productivity-improving mergers in mixed oligopoly. Int J Bus Econ 6: 181–198
Kato K (2006) Can allowing to trade permits enhance welfare in mixed oligopoly?. J Econ 88: 263–283
Lu Y (2007) Endogenous timing in a mixed oligopoly with foreign competitors: the linear demand case. J Econ 88: 49–67
Matsumura T (1998) Partial privatization in mixed duopoly. J Publ Econ 70: 473–483
Matsumura T (2003) Endogenous role in mixed markets: a two-production period model. South Econ J 70: 403–413
Matsumura T, Matsushima N (2004) Endogenous cost differentiations between public and private enterprises. Economica 71: 671–688
Matsumura T, Matsushima N (2006) Mixed oligopoly, foreign firms, and location choice. Reg Sci Urban Econ 36: 688–753
McAfee RP, Williams MA (2004) Horizontal mergers and antitrust policy. J Ind Econ 40: 181–187
Méndez-Naya J (2008) Merger profitability in mixed oligopoly. J Econ 94: 167–176
Mizutani F, Uranishi S (2003) The post office vs. parcel delivery companies: competition effects on costs and productivity. J Regul Econ 23: 299–319
Mujumdar S, Pal D (1998) Effects of indirect taxation in a mixed oligopoly. Econ Lett 58: 199–204
Nakamura Y, Inoue T (2007) Mixed oligopoly and productivity-improving mergers. Econ Bull 12: 1–9
Nilssen T, Sorgard L (1998) Sequential horizontal mergers. Euro Econ Rev 42: 1683–1702
Nishimori A, Ogawa H (2002) Public monopoly, mixed oligopoly and productive efficiency. Aust Econ Pap 41: 185–190
Ohori S (2006) Optimal environmental tax and level of privatization in an international duopoly. J Regul Econ 29: 225–233
Okada A (2003) A market game analysis of international CO2 emissions trading: evaluating initial allocation rules. In: Sawa T (ed) International frameworks and technological strategies to prevent climate change. Springer, Berlin, pp 3–21
Pal D (1998) Endogenous timing in mixed oligopoly. Econ Lett 61: 181–185
Pal D, White ND (1998) Mixed oligopoly, privatization, and strategic trade policy. South Econ J 65: 264–281
Perry MK, Porter RH (1985) Oligopoly and the incentive for horizontal merger. Am Econ Rev 75: 219–227
Poyago-Theotoky J (1998) R&D competition in a mixed duopoly under uncertainty and easy imitation. J Comp Econ 26: 415–428
Riezman R (1985) Customs unions and the core. J Int Econ 19: 355–365
Salant SW, Switzer S, Reynolds RJ (1983) Losses from horizontal merger: the effects of an exogenous change in industry structure on Cournot-Nash equilibrium. Q J Econ 98: 185–199
Staudinger H (1937) The co-ordination of public and private power interests in european countries. Am Econ Rev 27: 254–262
Straume OR (2006) Managerial delegation and merger incentives with asymmetric costs. J Inst Theor Econ 162: 450–469
Tomaru Y (2006) Mixed oligopoly, partial privatization and subsidization. Econ Bull 12: 1–6
Yi SS (1997) Stable coalition structures with externalities. Games Econ Behav 20: 201–237
Ziss S (2001) Horizontal mergers and delegation. Int J Ind Organ 19: 471–492
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Kamijo, Y., Nakamura, Y. Stable market structures from merger activities in mixed oligopoly with asymmetric costs. J Econ 98, 1–24 (2009). https://doi.org/10.1007/s00712-009-0074-y
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DOI: https://doi.org/10.1007/s00712-009-0074-y