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Mixed duopoly and the indirect effect in linear supply function competition

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  • Keita Yamane

    (Kobe University)

Abstract

The 1980s market reforms in Europe led to far-reaching privatization. However, empirical data show that some countries experienced deterioration in market performance, such as in consumer prices and welfare, during a certain period. Although theorists have focused on the change in the stock holding rate and the degree of product differentiation between privatization, few paid attention to the change in competition mode or intensity. To grasp how the structural change of privatization can affect market performance, we investigate the infinitesimal change in competition intensity by parameterizing it, apart from using the traditional method of making a simple comparison between Cournot and Bertrand equilibria. Thus, we parameterize the intensity of competition, and consider a mixed duopoly market with product differentiation accompanying partial privatization using a linear supply function approach. We observe a non-monotonic change in prices, profits, and social welfare in the plane of the degree of product differentiation and privatization, when competition becomes aggressive. Intuitively, when the semi-public firm promotes privatization, the market is an ordinary private duopoly and the competition becomes weak, while the competition can be aggressive with nationalization, since the semi-public firm tries to lower its price to improve consumer surplus. Further, the thresholds’ roughly common property—the right-upwardness—depends on the degree of the cross-price effect. Analytically, these counterintuitive phenomena are caused by the indirect effect inherent in linear supply function competition.

Suggested Citation

  • Keita Yamane, 2018. "Mixed duopoly and the indirect effect in linear supply function competition," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 45(4), pages 519-532, December.
  • Handle: RePEc:spr:epolin:v:45:y:2018:i:4:d:10.1007_s40812-018-0103-3
    DOI: 10.1007/s40812-018-0103-3
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    1. Yin-Fang Zhang & David Parker & Colin Kirkpatrick, 2008. "Electricity sector reform in developing countries: an econometric assessment of the effects of privatization, competition and regulation," Journal of Regulatory Economics, Springer, vol. 33(2), pages 159-178, April.
    2. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    3. Junichi Haraguchi & Toshihiro Matsumura, 2016. "Cournot–Bertrand comparison in a mixed oligopoly," Journal of Economics, Springer, vol. 117(2), pages 117-136, March.
    4. Toshihiro Matsumura & Makoto Okamura, 2015. "Competition and privatization policies revisited: the payoff interdependence approach," Journal of Economics, Springer, vol. 116(2), pages 137-150, October.
    5. Marcella Scrimitore, 2014. "Profitability under Commitment in Cournot and Bertrand Mixed Markets," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 170(4), pages 684-703, December.
    6. Grossman, Sanford J, 1981. "Nash Equilibrium and the Industrial Organization of Markets with Large Fixed Costs," Econometrica, Econometric Society, vol. 49(5), pages 1149-1172, September.
    7. William C. Merrill & Norman Schneider, 1966. "Government Firms in Oligopoly Industries: A Short-Run Analysis," The Quarterly Journal of Economics, Oxford University Press, vol. 80(3), pages 400-412.
    8. Delbono, Flavio & Lambertini, Luca, 2015. "On the properties of linear supply functions in oligopoly," Economics Letters, Elsevier, vol. 136(C), pages 22-24.
    9. Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
    10. Ross Baldick & Ryan Grant & Edward Kahn, 2004. "Theory and Application of Linear Supply Function Equilibrium in Electricity Markets," Journal of Regulatory Economics, Springer, vol. 25(2), pages 143-167, March.
    11. Delbono, Flavio & Lambertini, Luca, 2016. "Ranking Bertrand, Cournot and supply function equilibria in oligopoly," Energy Economics, Elsevier, vol. 60(C), pages 73-78.
    12. Jeffry M. Netter & William L. Megginson, 2001. "From State to Market: A Survey of Empirical Studies on Privatization," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 321-389, June.
    13. Zhang, Anming & Zhang, Yimin & Zhao, Ronald, 2001. "Impact of Ownership and Competition on the Productivity of Chinese Enterprises," Journal of Comparative Economics, Elsevier, vol. 29(2), pages 327-346, June.
    14. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716.
    15. Paolo Liberati, 2005. "UK Privatization and Household Welfare," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 61(2), pages 220-255, July.
    16. Flavio Delbono & Luca Lambertini, 2016. "Bertrand versus Cournot with convex variable costs," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 73-83, April.
    17. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    18. Green, Richard J & Newbery, David M, 1992. "Competition in the British Electricity Spot Market," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 929-953, October.
    19. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    20. Menezes, Flavio M. & Quiggin, John, 2012. "More competitors or more competition? Market concentration and the intensity of competition," Economics Letters, Elsevier, vol. 117(3), pages 712-714.
    21. John Vickers & George Yarrow, 1988. "Privatization: An Economic Analysis," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262720116.
    22. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    23. Michael Kopel, 2015. "Price and Quantity Contracts in a Mixed Duopoly with a Socially Concerned Firm," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 36(8), pages 559-566, December.
    24. Massimo Florio, 2007. "Electricity Prices as Signals for the Evaluation of Reforms: An Empirical Analysis of Four European Countries," International Review of Applied Economics, Taylor & Francis Journals, vol. 21(1), pages 1-27.
    25. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x.
    26. Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
    27. de Fraja, Giovanni & Delbono, Flavio, 1989. "Alternative Strategies of a Public Enterprise in Oligopoly," Oxford Economic Papers, Oxford University Press, vol. 41(2), pages 302-311, April.
    28. Fries, Steven & Taci, Anita, 2005. "Cost efficiency of banks in transition: Evidence from 289 banks in 15 post-communist countries," Journal of Banking & Finance, Elsevier, vol. 29(1), pages 55-81, January.
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    Cited by:

    1. Keita Yamane, 2020. "Market Structure, Competition, and Optimal Privatization: a Linear Supply Function Approach," Journal of Industry, Competition and Trade, Springer, vol. 20(3), pages 605-615, September.

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    More about this item

    Keywords

    Indirect effect; Linear supply function competition; Mixed market; Non-monotonicity; Privatization;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L32 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Public Enterprises; Public-Private Enterprises

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