WIAS Preprint No. 1396, (2009)

Strong stationary solutions to equilibrium problems with equilibrium constraints with applications to an electricity spot market model



Authors

  • Henrion, René
  • Outrata, Jiří
  • Surowiec, Thomas
    ORCID: 0000-0003-2473-4984

2010 Mathematics Subject Classification

  • 90C30 49J53

Keywords

  • Equilibrium problems with equilibrium constraints, EPEC, strong stationary solutions, electricity spot market

Abstract

In this paper, we consider the characterization of strong stationary solutions to equilibrium problems with equilibrium constraints (EPECs). Assuming that the underlying generalized equation satisfies strong regularity in the sense of Robinson, an explicit multiplier-based stationarity condition can be derived. This is applied then to an equilibrium model arising from ISO-regulated electricity spot markets.

Appeared in

  • ESAIM Control Optim. Calc. Var., 18 (2012) pp. 295--317 under the new title "Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market''.

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