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Supply function equilibria and nonprofit-maximizing objectives

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  • Yasui, Yuta
  • Haraguchi, Junichi

Abstract

We examine the supply function equilibrium (SFE) that is often used in the analysis of multi-unit auctions, such as wholesale electricity markets, among (partially privatized) public firms. We show that in a duopoly model with linear demand and quadratic cost functions, both a partially privatized public firm and a profit-maximizing firm offers flatter supply functions as equilibrium strategies, resulting in a larger social surplus, when the public firm focuses more on social welfare. This implies that the full nationalization is optimal if firms compete in SFE, in contrast to a Cournot case, which has been used as an approximation of the wholesale electricity markets. We also confirm that the SFE converges to the (inverse) marginal cost function when the firms’ social concern is improved symmetrically in the industry.

Suggested Citation

  • Yasui, Yuta & Haraguchi, Junichi, 2018. "Supply function equilibria and nonprofit-maximizing objectives," Economics Letters, Elsevier, vol. 166(C), pages 50-55.
  • Handle: RePEc:eee:ecolet:v:166:y:2018:i:c:p:50-55
    DOI: 10.1016/j.econlet.2018.02.008
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    1. Yasui, Yuta & Haraguchi, Junichi, 2018. "Supply function equilibria and nonprofit-maximizing objectives," Economics Letters, Elsevier, vol. 166(C), pages 50-55.
    2. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    3. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
    4. Iwata, Gyoichi, 1974. "Measurement of Conjectural Variations in Oligopoly," Econometrica, Econometric Society, vol. 42(5), pages 947-966, September.
    5. James B. Bushnell & Erin T. Mansur & Celeste Saravia, 2008. "Vertical Arrangements, Market Structure, and Competition: An Analysis of Restructured US Electricity Markets," American Economic Review, American Economic Association, vol. 98(1), pages 237-266, March.
    6. Holmberg, Pär & Newbery, David, 2010. "The supply function equilibrium and its policy implications for wholesale electricity auctions," Utilities Policy, Elsevier, vol. 18(4), pages 209-226, December.
    7. Holmberg, Pär, 2009. "Numerical calculation of an asymmetric supply function equilibrium with capacity constraints," European Journal of Operational Research, Elsevier, vol. 199(1), pages 285-295, November.
    8. Kenneth Fjell & Debashis Pal, 1996. "A Mixed Oligopoly in the Presence of Foreign Private Firms," Canadian Journal of Economics, Canadian Economics Association, vol. 29(3), pages 737-743, August.
    9. Holmberg, Pär & Newbery, David & Ralph, Daniel, 2013. "Supply function equilibria: Step functions and continuous representations," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1509-1551.
    10. Severin Borenstein & James Bushnell, 1999. "An Empirical Analysis of the Potential for Market Power in California’s Electricity Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 47(3), pages 285-323, September.
    11. E. Glen Weyl & Michal Fabinger, 2013. "Pass-Through as an Economic Tool: Principles of Incidence under Imperfect Competition," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 528-583.
    12. Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
    13. 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.
    14. Cabral, Luis M. B., 1995. "Conjectural variations as a reduced form," Economics Letters, Elsevier, vol. 49(4), pages 397-402, October.
    15. Gollop, Frank M. & Roberts, Mark J., 1979. "Firm interdependence in oligopolistic markets," Journal of Econometrics, Elsevier, vol. 10(3), pages 313-331, August.
    16. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    17. Toshihiro Matsumura & Osamu Kanda, 2005. "Mixed Oligopoly at Free Entry Markets," Journal of Economics, Springer, vol. 84(1), pages 27-48, February.
    18. Matsumura, Toshihiro & Sunada, Takeaki, 2013. "Advertising competition in a mixed oligopoly," Economics Letters, Elsevier, vol. 119(2), pages 183-185.
    19. Bresnahan, Timothy F., 1989. "Empirical studies of industries with market power," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 2, chapter 17, pages 1011-1057, Elsevier.
    20. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    21. 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.
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    Cited by:

    1. Yasui, Yuta & Haraguchi, Junichi, 2018. "Supply function equilibria and nonprofit-maximizing objectives," Economics Letters, Elsevier, vol. 166(C), pages 50-55.
    2. Marc Escrihuela‐Villar & Carlos Gutiérrez‐Hita & José Vicente‐Pérez, 2020. "Supply function competition in a mixed electric power market," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(4), pages 1151-1175, August.
    3. Gutiérrez-Hita, Carlos & Vicente-Pérez, José, 2018. "On supply function equilibria in a mixed duopoly," Economics Letters, Elsevier, vol. 168(C), pages 6-9.

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    More about this item

    Keywords

    Supply function equilibrium; Electricity markets; Partial privatization; Corporate social responsibility; Mixed oligopoly;
    All these keywords.

    JEL classification:

    • H42 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Private Goods
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L33 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Comparison of Public and Private Enterprise and Nonprofit Institutions; Privatization; Contracting Out

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