Introduction and Motivation -- Optimality and Complementarity -- Some Microeconomic Principles -- Equilibria and Complementarity Problems -- Variational Inequality Problems -- Optimization Problems Constrained by Optimization Problems -- Equilibrium Problems with Equilibrium Constraints --...

We propose a novel method to find Nash equilibria in games with binary decision variables by including compensation payments and incentive-compatibility constraints from non-cooperative game theory directly into an optimization framework in lieu of using first order conditions of a...

We propose a novel method to find Nash equilibria in games with binary decision variables by including compensation payments and incentive-compatibility constraints from non-cooperative game theory directly into an optimization framework in lieu of using first order conditions of a...

This paper provides a methodology to solve Nash–Cournot energy production games allowing some variables to be discrete. Normally, these games can be stated as mixed complementarity problems but only permit continuous variables in order to make use of each producer’s Karush–Kuhn–Tucker...

In this article we propose a model of the supply chain in electricity markets with multiple generators and retailers and considering several market structures. We analyze how market design interacts with the different types of contract and market structure to affect the coordination between the...