On March 26 2013, Michael Ferris presented his work on MOPEC at the UC Scientific Computing Seminar. Several Argonne M2ACS people were in the audience, Victor Zavala, Emil Constantinescu, Paul Hovland and Mihai Anitescu.

### MOPEC: Multiple Optimization Problems with Equilibrium Constraints

Abstract: We present a mechanism for describing and solving collections of optimization problems that are linked by equilibrium conditions. Included in this class are classical models such as the PIES model and agent based formulations arising from Nash Games. We demonstrate this mechanism in the context of energy planning problems, specifically for capacity expansion, hydro operation, and transmission line switching. We show how to incorporate stochastic information into these systems and give examples of their use and their possible extensions to hierarchical modeling.