Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market

0380368 - ÚTIA 2013 RIV FR eng J - Journal Article
Henrion, R. - Outrata, Jiří - Surowiec, T.
Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market.
ESAIM-Control Optimisation and Calculus of Variations. Roč. 18, č. 2 (2012), s. 295-317. ISSN 1292-8119. E-ISSN 1262-3377
R&D Projects: GA ČR GA201/09/1957
Institutional support: RVO:67985556
Keywords : Equilibrium problems with equilibrium constraints * EPEC * M-stationary solutions * electricity spot market * calmness
Subject RIV: BA - General Mathematics
Impact factor: 1.282, year: 2012
http://library.utia.cas.cz/separaty/2012/MTR/outrata-analysis of m-stationary points to an epec modeling oligopolistic competition in an electricity spot market.pdf

We consider an equilibrium problem with equilibrium constraints (EPEC) arising from the modeling of competition in an electricity spot market (under ISO regulation). For a characterization of equilibrium solutions, so-called M-stationarity conditions are derived. This first requires a structural analysis of the problem, e.g., verifying constraint qualifications. Second, the calmness property of a certain multifunction has to be verified in order to justify using M-stationarity conditions. Third, for stating the stationarity conditions, the coderivative of a normal cone mapping has to be calculated. Finally, the obtained necessary conditions are made fully explicit in terms of the problem data for one typical constellation. A simple two-settlement example serves as an illustration.
Permanent Link: http://hdl.handle.net/11104/0211094