Nash-Cournot Equilibria in Power Markets on a Linearized DC Network with Arbitrage: Formulations and Properties

By Carolyn B. Metzler, Benjamin F. Hobbs, Jong-Shi Pang. 2003

239 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/4235ddda02488a6216a65f49be69cac8cf850e8e

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In Electrical and Electronic Engineering

Citations in the corpus

Network-constrained Cournot models of liberalized electricity markets: the devil is in the details (2005, unknown): “5 the presence of traders/arbitragers (Metzler et al., 2003; Smeers and Wei, 1999).”
An oligopolistic power market model with tradable NO/sub x/ permits (2005, methodology): “we will substitute that equation for in the objective function, eliminating that variable and (6).)5 3) Power Arbitrageur: An arbitrageur is introduced in order to simulate POOL-type market, in which the transmission cost between two nodes equals the difference in spot prices [ 13 ].”
Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games (2009, background): “Originated from Hobbs [20] and further developed in several subsequent papers [31, 37, 36], the model aims at understanding”
Implications of CO2 emissions trading for short-run electricity market outcomes in northwest Europe (2008, background): “The conditions under which this type of model yields a unique solution have been proven elsewhere (Metzler et al. 2003).”
Oligopolistic Competition in Power Networks: A Conjectured Supply Function Approach (2002, methodology): “The solutions to the two models yield identical profits, total sales, and prices in the fixed slope models (which can be demonstrated using the same arguments as in [44]).”
A Large-Scale Spatial Optimization Model of the European Electricity Market (2012, methodology): “Furthermore there exists another category of single-staged equilibrium models containing standard imperfect competition paradigms such as the Cournot or Bertrand paradigm and models for system operation (for example Metzler et al. 2003 ).”
A Benders Decomposition Method for Solving Stochastic Complementarity Problems with an Application in Energy (2010, background): “Market players such as power generators may have market power and their ability to influence prices can be felt throughout the electricity grid (Hobbs 2001; Metzler et al. 2003; Chen and Hobbs 2005).”
Strategic generation with conjectured transmission price responses in a mixed transmission pricing system-part II: application (2004, background): “Further, if arbitragers have access to all network nodes, and in addition transmission conjectures and only the dc flow constraints are included in the model, then the following result has been proven [ 27 ].”