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Igor Konnov, Elena Mazurkevich, Mohamed Ali (2005)
International Journal of Applied Mathematics and Computer Science
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We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.
Day, Martin V. (2005)
Applied Mathematics E-Notes [electronic only]
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René Henrion, Werner Römisch (2007)
Applications of Mathematics
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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...
Santos, Lucelina Batista, Rojas-Medar, Marko A., Rufián-Lizana, Antonio (2006)
International Journal of Mathematics and Mathematical Sciences
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Josef Cach (2001)
Kybernetika
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A special class of generalized Nash equilibrium problems is studied. Both variational and quasi-variational inequalities are used to derive some results concerning the structure of the sets of equilibria. These results are applied to the Cournot oligopoly problem.
Ansari, Qamrul Hasan, Khan, Zubair (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Bich, Philippe, Cornet, Bernard (2004)
Fixed Point Theory and Applications [electronic only]
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