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Supply Function Equilibria: Step Functions and Continuous Representations

Pär Holmberg (), David M Newbery () and Daniel Ralph

Cambridge Working Papers in Economics from Faculty of Economics, University of Cambridge

Abstract: In most wholesale electricity markets generators must submit stepfunction offers of supply to a uniform price auction, and the market is cleared at the price of the most expensive offer needed to meet realised demand. Such markets can most elegantly be modelled as the purestrategy, Nash Equilibrium of continuous supply functions, in which each supplier has a unique profit maximising choice of supply function given the choices of other suppliers. Critics argue that the discreteness and discontinuity of the required steps can rule out pure-strategy equilibria and may result in price instability. This paper argues that if prices must be selected from a finite set the resulting step function converges to the continuous supply function as the number of steps increases, reconciling the apparently very disparate approaches to modelling electricity markets.

Keywords: Auctions; supply function equilibria; convergence of stepfunctions; electricity markets. (search for similar items in EconPapers)
JEL-codes: D43 D44 C62 L94 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-com and nep-ene
Date: 2008-12
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Related works:
Journal Article: Supply function equilibria: Step functions and continuous representations (2013) Downloads
Working Paper: Supply Function Equilibria: Step Functions and Continuous Representations (2009) Downloads
Working Paper: Supply Function Equilibria: Step functions and continuous representations (2008) Downloads
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