caa a22 4500 463183738 CHVBK 20180406164846.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10492-007-0028-z doi (NATIONALLICENCE)springer-10.1007/s10492-007-0028-z On M -stationary points for a stochastic equilibrium problem under equilibrium constraints in electricity spot market modeling [Elektronische Daten] [René Henrion, Werner Römisch] Modeling several competitive leaders and followers acting in an electricity market leads to coupled systems of mathematical programs with equilibrium constraints, called equilibrium problems with equilibrium constraints (EPECs). We consider a simplified model for competition in electricity markets under uncertainty of demand in an electricity network as a (stochastic) multi-leader-follower game. First order necessary conditions are developed for the corresponding stochastic EPEC based on a result of Outrata. For applying the general result an explicit representation of the co-derivative of the normal cone mapping to a polyhedron is derived. Then the co-derivative formula is used for verifying constraint qualifications and for identifying M-stationary solutions of the stochastic EPEC if the demand is represented by a finite number of scenarios. Mathematical Institute, Academy of Sciences of Czech Republic, 2007 electricity markets nationallicence bidding nationallicence noncooperative games nationallicence equilibrium constraint nationallicence EPEC nationallicence optimality condition nationallicence co-derivative nationallicence random demand nationallicence Henrion René Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117, Berlin, Germany aut Römisch Werner Institute of Mathematics, Humboldt University Berlin, Rudower Chaussee 25, 10099, Berlin, Germany aut Applications of Mathematics Springer-Verlag 52/6(2007-12-01), 473-494 0862-7940 52:6<473 2007 52 10492 https://doi.org/10.1007/s10492-007-0028-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10492-007-0028-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Henrion René Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117, Berlin, Germany aut NATIONALLICENCE 700 1- Römisch Werner Institute of Mathematics, Humboldt University Berlin, Rudower Chaussee 25, 10099, Berlin, Germany aut NATIONALLICENCE 773 0- Applications of Mathematics Springer-Verlag 52/6(2007-12-01), 473-494 0862-7940 52:6<473 2007 52 10492 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer