Please use this identifier to cite or link to this item: http://hdl.handle.net/2123/8162

Title: Mixed strategies in discriminatory divisible-good auctions
Authors: Anderson, E.J.
Holmberg, P.
Philpott, A.B.
Discipline of Business Analytics
Keywords: Pay-as-bid auction
divisible good auction
mixed strategy equilibria
wholesale electricity markets
Issue Date: Nov-2009
Publisher: Business Analytics
Series/Report no.: OMEWP
02/2009
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.
URI: http://hdl.handle.net/2123/8162
Department/Unit/Centre: Discipline of Business Analytics
Type of Work: Working Paper
Appears in Collections:Working Papers - Business Analytics

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