Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00380368" target="_blank" >RIV/67985556:_____/12:00380368 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1051/cocv/2011003" target="_blank" >http://dx.doi.org/10.1051/cocv/2011003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/cocv/2011003" target="_blank" >10.1051/cocv/2011003</a>
Alternative languages
Result language
angličtina
Original language name
Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market
Original language 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 arederived. 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F09%2F1957" target="_blank" >GA201/09/1957: Development of methods for solving large scale nonlinear programming and nonsmooth optimization problems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ESAIM-Control Optimisation and Calculus of Variations
ISSN
1292-8119
e-ISSN
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Volume of the periodical
18
Issue of the periodical within the volume
2
Country of publishing house
FR - FRANCE
Number of pages
23
Pages from-to
295-317
UT code for WoS article
000306431900001
EID of the result in the Scopus database
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