Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/81442 
Year of Publication: 
2009
Series/Report no.: 
IFN Working Paper No. 814
Publisher: 
Research Institute of Industrial Economics (IFN), Stockholm
Abstract: 
Author: Edward J. Anderson, Pär Holmberg and Andrew B. Philpott Keywords: Pay-as-bid Auction; Divisible Good Auction; Mixed Strategy Equilibria; Wholesale Electricity Markets Pages: 71 Published: November 24, 2009 JEL-codes: D43; D44; C72 Download Wp814.pdf (756 kB) Abstract Using the concept of market-distribution functions, we derive general optimality conditions for discriminatory divisible-good auctions, which are also applicable to Bertrand games and non-linear pricing. We introduce the concept of offer distribution function to analyze randomized offer curves, and characterize mixed-strategy Nash equilibria for pay-as-bid auctions where demand is uncertain and costs are common knowledge; a setting for which pure-strategy supply function equilibria typically do not exist. We generalize previous results on mixtures over horizontal offers as in Bertrand-Edgeworth games, but more importantly we characterize novel mixtures over partly increasing supply functions.
Subjects: 
Pay-as-bid Auction
Divisible Good Auction
Mixed Strategy Equilibria
Wholesale Electricity Markets
JEL: 
C72
D43
D44
Document Type: 
Working Paper

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