Gap functions and penalization for solving equilibrium problems with nonlinear constraints

Giancarlo Bigi () and Mauro Passacantando ()

Computational Optimization and Applications, 2012, vol. 53, issue 2, 323-346

Abstract: The paper deals with equilibrium problems (EPs) with nonlinear convex constraints. First, EP is reformulated as a global optimization problem introducing a class of gap functions, in which the feasible set of EP is replaced by a polyhedral approximation. Then, an algorithm is given for solving EP through a descent type procedure, which exploits also exact penalty functions, and its global convergence is proved. Finally, the algorithm is tested on a network oligopoly problem with nonlinear congestion constraints. Copyright Springer Science+Business Media, LLC 2012

Keywords: Equilibrium problems; Gap function; Exact penalization; Descent direction (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10589-012-9481-z

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