0380368 20240103201159.620120918235959.9 000306431900001 10.1051/cocv/2011003 23 s. cav_un_epca*02578551292-8119182 (2012)295-317EDP Sciences Equilibrium problems with equilibrium constraints EPEC M-stationary solutions electricity spot market calmness cav_un_auth*0015558 Henrion R. DE cav_un_auth*0101173 Outrata Jiří Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0240271 Surowiec T. DE 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 GA201/09/1957 GA ČR cav_un_auth*0253042 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. 2013 BA 3 RVO:67985556 http://hdl.handle.net/11104/0211094 AUTOMATIONCONTROLSYSTEMS|MATHEMATICSAPPLIED 1.038 1.133 Q1 82.097 Q1 Q2 2012 000306431900001 WOS cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 18 č. 2 2012 295 317 EDP Sciences