Linear Complementarity Models of Nash-Cournot Competition in Bilateral and POOLCO Power Markets

By B. Hobbs. IEEE Power Engineering Review, 2001

665 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/47a988ce5f6a89e628fd73ddfc77d8170f5ca9ef

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

Citations in the corpus

Vertical Arrangements, Market Structure, and Competition An Analysis of Restructured U.S. Electricity Markets (2008, background): “1”
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”
Risk assessment in energy trading (2003, methodology): “Computational methods based on market models are proposed in [ 23 ], where the issues of arbitrage are analyzed.”
Numerical solutions to Nash-Cournot equilibria in coupled constraint electricity markets (2004, methodology): “While Hobbs’ method in [5] depends on existence of a solution to a system of equations and inequalities, which result from mixed complementarity (Kuhn–Karesh–Tucker) conditions, ours relies on a function minimization procedure.”
Risk-Constrained Bidding Strategy With Stochastic Unit Commitment (2007, methodology): “Equilibrium models such as supply function equilibrium and Cournot equilibrium were widely applied for developing GENCOs’ bidding strategies and analyzing market power in energy markets [2]–[5].”
MULTI-LEADER-FOLLOWER GAMES: MODELS, METHODS AND APPLICATIONS (2015, positive): “By using this fundamental concept in game theory, the NEP becomes a powerful mathematical model to deal with many real-world problems, such as arms races [64] in politics, auction theory [48] and the electricity markets [34, 35, 44] in economics.”
The Impact of the EU ETS on Prices, Profits and Emissions in the Power Sector: Simulation Results with the COMPETES EU20 Model (2010, background): “2 The basic transmission-constrained Cournot formulation underlying COMPETES was first presented in Hobbs (2001) .”
Electricity Producer Offering Strategies in Day-Ahead Energy Market With Step-Wise Offers (2007, background): “Alternatively, the market equilibrium conditions are formulated and solved as Equilibrium Problems with Equilibrium Constraints (EPEC) [15], [18], [19], [21].”
Optimal offering strategies for generation companies operating in electricity spot markets (2004, background): “Models based on the economic theory of equilibrium frequently represent generation companies as Cournot agents and are commonly formulated as mixed complementarity problems (or as systems of variational inequalities) thus benefiting from the existence of specific powerful commercial solvers [11], [1”
A Benders Decomposition Method for Solving Stochastic Complementarity Problems with an Application in Energy (2010, methodology): “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).”
Variational Inequality Models of Restructured Electricity Systems (2001, background): “A computation oriented literature is also emerging (see the introduction of Hobbs (1999) for a recent survey).”
Oligopolistic equilibrium analysis for electricity markets: a nonlinear complementarity approach (2004, background): “However, if the slope of the linear conjectured supply function is a strategic variable or other strategic variables are assumed [2], the equilibrium conditions will give rise to a mixed nonlinear complementarity problem (NCP) [ 11 ], which has not been well addressed in [3].”