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

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Description	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. 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. (en)
Title	Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market (en)
skos:prefLabel	Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market (en)
skos:notation	RIV/67985556:_____/12:00380368!RIV13-AV0-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA201/09/1957)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Outrata, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	122179
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/12:00380368
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Equilibrium problems with equilibrium constraints; EPEC; M-stationary solutions; electricity spot market; calmness (en)
http://linked.open.../riv/klicoveSlovo	EPEC Equilibrium problems with equilibrium constraints M-stationary solutions calmness electricity spot market
http://linked.open...odStatuVydavatele	FR - Francouzská republika
http://linked.open...ontrolniKodProRIV	[5458421BBDA0]
http://linked.open...i/riv/nazevZdroje	ESAIM-Control Optimisation and Calculus of Variations
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Development of methods for solving large scale nonlinear programming and nonsmooth optimization problems
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	18
http://linked.open...iv/tvurceVysledku	Outrata, Jiří Henrion, R. Surowiec, T.
http://linked.open...ain/vavai/riv/wos	000306431900001
issn	1292-8119
number of pages	23 (xsd:int)
http://bibframe.org/vocab/doi	10.1051/cocv/2011003
is http://linked.open...avai/riv/vysledek of	Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market

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