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Quantity Competition vs. Price Competition under Optimal Subsidy in a Mixed Duopoly

  • Marcella Scrimitore

This paper reconsiders the literature on the irrelevance of privatization in mixed markets, addressing both quantity and price competition in a duopoly with differentiated products. By allowing for partially privatizing a state-controlled firm, we explore competition under different timings of firms’ moves and derive the conditions under which an optimal subsidy allows to achieve maximum efficiency. We show that, while the ownership of the controlled firm is irrelevant when firms play simultaneously, it matters when firms compete sequentially, requiring the leader to be publicly-owned for an optimal subsidy to restore the first-best allocation, irrespective of the mode of competition. The paper also focuses on the extent to which a subsidy is needed to attain the social optimum, highlighting the equivalence between a price (quantity) game with public leadership or simultaneous moves and a quantity (price) game with private leadership.

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Paper provided by Economics and Econometrics Research Institute (EERI), Brussels in its series EERI Research Paper Series with number EERI_RP_2012_15.

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Date of creation: 15 Sep 2012
Date of revision:
Handle: RePEc:eei:rpaper:eeri_rp_2012_15
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  1. Hiroaki Ino & Toshihiro Matsumura, 2009. "What role should public enterprises play in free-entry markets?," Discussion Paper Series 46, School of Economics, Kwansei Gakuin University, revised Jun 2009.
  2. Yasuhiko Nakamura & Tomohiro Inoue, 2009. "Endogenous timing in a mixed duopoly: price competition with managerial delegation," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 30(5), pages 325-333.
  3. White, Mark D., 1996. "Mixed oligopoly, privatization and subsidization," Economics Letters, Elsevier, vol. 53(2), pages 189-195, November.
  4. Yoshihiro Tomaru, 2006. "Mixed Oligopoly, Partial Privatization and Subsidization," Economics Bulletin, AccessEcon, vol. 12(5), pages 1-6.
  5. Yuanzhu Lu, 2006. "Endogenous Timing in a Mixed Oligopoly with Foreign Competitors: the Linear Demand Case," Journal of Economics, Springer, vol. 88(1), pages 49-68, June.
  6. Gareth Myles & Hassan Khodavaisi & Nigar Hashimzade, 2007. "An irrelevance result with differentiated goods," Economics Bulletin, AccessEcon, vol. 8(2), pages 1-7.
  7. Fjell, Kenneth & Heywood, John S., 2004. "Mixed oligopoly, subsidization and the order of firm's moves: the relevance of privatization," Economics Letters, Elsevier, vol. 83(3), pages 411-416, June.
  8. Yoshihiro Tomaru & Kazuharu Kiyono, 2010. "Endogenous Timing in Mixed Duopoly with Increasing Marginal Costs," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 166(4), pages 591-613, December.
  9. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
  10. Gareth Myles, 2002. "Mixed oligopoly, subsidization and the order of firms' moves: an irrelevance result for the general case," Economics Bulletin, AccessEcon, vol. 12(1), pages 1-6.
  11. Yoshihiro Tomaru & Masayuki Saito, 2010. "Mixed Duopoly, Privatization And Subsidization In An Endogenous Timing Framework," Manchester School, University of Manchester, vol. 78(1), pages 41-59, 01.
  12. Joanna Poyago-Theotoky, 2001. "Mixed oligopoly, subsidization and the order of firms' moves: an irrelevance result," Economics Bulletin, AccessEcon, vol. 12(3), pages 1-5.
  13. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
  14. repec:ebl:ecbull:v:12:y:2002:i:1:p:1-6 is not listed on IDEAS
  15. Toshihiro Matsumura, 2003. "Stackelberg Mixed Duopoly with a Foreign Competitor," Bulletin of Economic Research, Wiley Blackwell, vol. 55(3), pages 275-287, 07.
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