nash stationary point

Two stage stochastic equilibrium problems with equilibrium constraints: modeling and numerical schemes

  • Huifu Xu
  • Dali Zhang
    • Categories Complementarity and Variational Inequalities, Game Theory, Stochastic Programming Tags , , ,

    This paper presents a two stage stochastic equilibrium problem with equilibrium constraints(SEPEC) model. Some source problems which motivate the model are discussed. Monte Carlo sampling method is applied to solve the SEPEC. The convergence analysis on the statistical estimators of Nash equilibria and Nash stationary points are presented. ArticleDownload View PDF

    Using EPECs to model bilevel games in restructured electricity markets

  • Xinmin Hu
  • Daniel Ralph
    • Categories Complementarity and Variational Inequalities, Finance and Economics Tags , , , , ,

    We study a bilevel noncooperative game-theoretic model of restructured electricity markets, with locational marginal prices. Each player in this game faces a bilevel optimization problem that we remodel as a mathematical program with equilibrium constraints, MPEC. The corresponding game is an example of an EPEC, equilibrium problem with equilibrium constraints. We establish sufficient conditions for … Read more