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.
Mots clés : equilibrium problems with equilibrium constraints, epec, M-stationary solutions, electricity spot market, calmness
@article{COCV_2012__18_2_295_0,
author = {Henrion, Ren\'e and Outrata, Ji\v{r}{\'\i} and Surowiec, Thomas},
title = {Analysis of {M-stationary} points to an {EPEC} modeling oligopolistic competition in an electricity spot market},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {295--317},
publisher = {EDP-Sciences},
volume = {18},
number = {2},
year = {2012},
doi = {10.1051/cocv/2011003},
mrnumber = {2954627},
zbl = {1281.90056},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv/2011003/}
}
TY - JOUR AU - Henrion, René AU - Outrata, Jiří AU - Surowiec, Thomas TI - Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2012 SP - 295 EP - 317 VL - 18 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2011003/ DO - 10.1051/cocv/2011003 LA - en ID - COCV_2012__18_2_295_0 ER -
%0 Journal Article %A Henrion, René %A Outrata, Jiří %A Surowiec, Thomas %T Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market %J ESAIM: Control, Optimisation and Calculus of Variations %D 2012 %P 295-317 %V 18 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2011003/ %R 10.1051/cocv/2011003 %G en %F COCV_2012__18_2_295_0
Henrion, René; Outrata, Jiří; Surowiec, Thomas. Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market. ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 2, pp. 295-317. doi : 10.1051/cocv/2011003. http://www.numdam.org/articles/10.1051/cocv/2011003/
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