# Mathematics Colloquia and Seminars

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### Ph.D. Exit Seminar: Solving equilibrium problems using variational techniques

**Optimization**

Speaker: | Julio Deride, UC Davis |

Related Webpage: | https://www.math.ucdavis.edu/~jderide/Julios_Homepage/Home.html |

Location: | 3106 MSB |

Start time: | Tue, May 30 2017, 2:10PM |

In this talk, we review several equilibrium problems and propose a new approach to solve them. Each equilibrium problem is modeled as an optimization problem of the maxinf family. Thus, the problem to be solved is set to find a maxinf point of a bifunction (bivariate function) called Walrasian, that represents the equilibrium conditions. Given this setting, a solution strategy is proposed using an approximation scheme based on the application of lopsided convergence theory, combined with an augmentation technique for nonconcave problems. Finally, some numerical results are presented for three examples: 1) a general equilibrium model for an exchange economy with uncertainty; 2) a general equilibrium model with financial markets, and 3) an infrastructure planning for fast EV-fast charging station problems.