TY - GEN A1 - Henrion, Rene A1 - Römisch, Werner T1 - On M-stationary points for a stochastic equilibrium problem under equilibrium constraints in electricity spot market modeling N2 - 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. Later 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. KW - Electricity markets KW - bidding KW - noncooperative games KW - equilibrium KW - constraint KW - EPEC KW - optimality condition KW - co-derivative KW - random demand Y1 - 2007 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/400 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4002 ER -