Supply Function Equilibria of Pay-as-Bid Auctions
This paper characterizes the Nash equilibrium in a pay-as-bid (discriminatory), divisible-good, procurement auction. Demand by the auctioneer is uncertain as in the supply function equilibrium model. A closed form expression is derived. Existence of an equilibrium is ensured if the hazard rate of the perfectly inelastic demand is monotonically decreasing and sellers have non-decreasing marginal costs. Multiple equilibria can be ruled out for markets, for which the auctioneer’s demand exceeds suppliers’ capacity with a positive probability. The derived equilibrium can be used to model strategic bidding behaviour in pay-as-bid electricity auctions, such as the balancing mechanism of United Kingdom. Offer curves and mark-ups of the derived equilibrium are compared to results for the SFE of a uniform-price auction.
|Date of creation:||29 Jan 2009|
|Date of revision:|
|Publication status:||Published as Holmberg, Pär, 'Supply Function Equilibria of Pay-as-Bid Auctions' in Journal of Regulatory Economics, 2009, pages 154-177.|
|Contact details of provider:|| Postal: Research Institute of Industrial Economics, Box 55665, SE-102 15 Stockholm, Sweden|
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