PWP-078 Linear Supply Function Equilibrium: Generalizations, Application, and Limitations

By Ross Baldick, Ryan Grant, Edward Kahn. 2000

117 citations recorded by the source corpus.

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Citations in the corpus

Supply Function Equilibrium in Electricity Spot Markets with Contracts and Price Caps (2005, methodology): “Since then, the SFE model has been widely used to study bidding behaviour in electricity spot market, see for instance [5, 15, 14, 6 ] and the references therein.”
Electricity Market Equilibrium Models: The Effect of Parameterization (2002, methodology): “This assumption can be relaxed and the analysis of Green and Newbery generalized to the case of non-symmetric players with non-zero values of ck that differ from player to player [14].”
Capacity Constrained Supply Function Equilibrium Models of Electricity Markets: Stability, Non- decreasing constraints, and Function Space Iterations (2002, methodology): “Representing maximum capacity constraints prompts an ad hoc approach in [ 11 ] that attempts to approximate the equilibrium supply functions when there are maximum capacity constraints.”
Theory and Application of Linear Supply Function Equilibrium in Electricity Markets (2004, background): “In Baldick, Grant, and Kahn (2000), Appendix 1, we generalize Rudkevich’s result to show that if n c ci i jj + + + F HG I KJ∑1 1 1 1 2 min γ γ then Rudkevich’s update is a contraction map and so the iterative scheme converges to the unique optimum from any starting point.”
Oligopolistic Competition in Power Networks: A Conjectured Supply Function Approach (2002, background): “However, sometimes equilibria are not unique, and a large range of outcomes is possible; in general, the Cournot equilibrium will be their upper bound [4], [30], [43], [64].”