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Models of supply functions competition with application to the network auctions

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  • Vasin Alexander

  • Vasina Polina

Abstract

This paper studies different auctions of supply functions in a local market and a simple network market of a homogeneous good with two nodes and a fixed transmission loss per unit of the good. We study problems of existence, uniqueness and computation of Nash equilibria for these models. We also obtain the estimate of Nash equilibria deviation from the Walrasian equilibrium for each variant. We consider the problem of optimal auction organization from the point of view of the social welfare maximization.

Suggested Citation

  • Vasin Alexander & Vasina Polina, 2005. "Models of supply functions competition with application to the network auctions," EERC Working Paper Series 05-03e, EERC Research Network, Russia and CIS.
    • Handle: RePEc:eer:wpalle:05-03e
    as

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    References listed on IDEAS

    as
    1. 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.
    2. Rothkopf, Michael H & Teisberg, Thomas J & Kahn, Edward P, 1990. "Why Are Vickrey Auctions Rare?," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 94-109, February.
    3. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    4. Lawrence Ausubel & Peter Cramton, 2004. "Vickrey auctions with reserve pricing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 493-505, March.
    5. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(1), pages 1-31.
    6. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    7. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    8. McCabe, Kevin A. & Rassenti, Stephen J. & Smith, Vernon L., 1989. "Designing `smart' computer-assisted markets : An experimental auction for gas networks," European Journal of Political Economy, Elsevier, vol. 5(2-3), pages 259-283.
    9. Green, Richard J, 1996. "Increasing Competition in the British Electricity Spot Market," Journal of Industrial Economics, Wiley Blackwell, vol. 44(2), pages 205-216, June.
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    Keywords

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    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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