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

Author

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  • Marcella Scrimitore

Abstract

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.

Suggested Citation

  • Marcella Scrimitore, 2012. "Quantity Competition vs. Price Competition under Optimal Subsidy in a Mixed Duopoly," EERI Research Paper Series EERI_RP_2012_15, Economics and Econometrics Research Institute (EERI), Brussels.
  • Handle: RePEc:eei:rpaper:eeri_rp_2012_15
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    File URL: http://www.eeri.eu/documents/wp/EERI_RP_2012_15.pdf
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    References listed on IDEAS

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    1. Toshihiro Matsumura, 2003. "Stackelberg Mixed Duopoly with a Foreign Competitor," Bulletin of Economic Research, Wiley Blackwell, vol. 55(3), pages 275-287, July.
    2. 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.
    3. 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.
    4. 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.
    5. repec:ebl:ecbull:v:12:y:2002:i:1:p:1-6 is not listed on IDEAS
    6. 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, January.
    7. Hiroaki Ino & Toshihiro Matsumura, 2010. "What role should public enterprises play in free-entry markets?," Journal of Economics, Springer, vol. 101(3), pages 213-230, November.
    8. Gareth Myles & Hassan Khodavaisi & Nigar Hashimzade, 2007. "An irrelevance result with differentiated goods," Economics Bulletin, AccessEcon, vol. 8(2), pages 1-7.
    9. Yoshihiro Tomaru, 2006. "Mixed Oligopoly, Partial Privatization and Subsidization," Economics Bulletin, AccessEcon, vol. 12(5), pages 1-6.
    10. White, Mark D., 1996. "Mixed oligopoly, privatization and subsidization," Economics Letters, Elsevier, vol. 53(2), pages 189-195, November.
    11. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    12. 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.
    13. 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.
    14. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    15. 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.
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    Cited by:

    1. Corrado Benassi & Alessandra Chirco & Marcella Scrimitore, 2014. "Optimal manipulation rules in a mixed oligopoly," Journal of Economics, Springer, vol. 112(1), pages 61-84, May.
    2. Scrimitore, Marcella, 2013. "Price or quantity? The strategic choice of subsidized firms in a mixed duopoly," Economics Letters, Elsevier, vol. 118(2), pages 337-341.

    More about this item

    Keywords

    Cournot; Bertrand; privatization; optimal subsidy.;

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H44 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Goods: Mixed Markets
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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