期刊
APPLICATIONS OF MATHEMATICS
卷 52, 期 6, 页码 473-494出版社
ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
DOI: 10.1007/s10492-007-0028-z
关键词
electricity markets; bidding; noncooperative games; equilibrium constraint; EPEC; optimality condition; co-derivative; random demand
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.
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