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Comparing Supply Function Equilibria of Pay-as-Bid and Uniform-Price Auctions

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Author Info
Holmberg, Pär () (Department of Economics)

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Abstract

This paper derives a Supply Function Equilibrium (SFE) of a pay-as-bid auction, also called discriminatory auction. Such an auction is used in the balancing market for electric power in Britain. For some probability distributions of demand a pure-strategy equilibrium does not exist. If demand follows an inverse polynomial probability distribution, SFE always exists. Assuming this probability distribution, the pay-as-bid procurement auction is compared to a SFE of a uniform-price procurement auction, the auction form of most electric power markets. The demand-weighted average price is found to be equal or lower in the pay-as-bid procurement auction.

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Publisher Info
Paper provided by Uppsala University, Department of Economics in its series Working Paper Series with number 2005:17.

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Length: 25 pages
Date of creation: 16 May 2005
Date of revision:
Handle: RePEc:hhs:uunewp:2005_017

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Postal: Department of Economics, Uppsala University, P. O. Box 513, SE-751 20 Uppsala, Sweden
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Fax: + 46 18 471 14 78
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Related research
Keywords: Supply function equilibrium; pay-as-bid auction; uniform-price auction; discriminatory auction; oligopoly; capacity constraint; wholesale electricity market;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities

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  1. Berg, Lennart & Berger, Tommy, 2005. "The Q theory and the Swedish housing market –an empirical test," Working Paper Series 2005:19, Uppsala University, Department of Economics. [Downloadable!]
  2. Johansson, Fredrik & Klevmarken, Anders, 2006. "Explaining the size and nature of response in a survey on health status and economic standard," Working Paper Series 2006:2, Uppsala University, Department of Economics. [Downloadable!]
  3. Hästö, Peter & Holmberg, Pär, 2005. "Some Inequalities related to the analysis of electricity auctions," Working Paper Series 2005:23, Uppsala University, Department of Economics. [Downloadable!]
  4. Engström, Per & Holmlund, Bertil, 2005. "Worker Absenteeism in Search Equilibrium," Working Paper Series 2005:22, Uppsala University, Department of Economics. [Downloadable!]
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