MC 6460
Speaker
Margarida Carvalho | Université de Montréal
Title
Integer Programming Games: Applications, Methods, and Challenges
Abstract
Integer programming games (IPGs) represent the strategic interactions among players within a game using the formalization of mathematical programming. This framework enables players to make discrete decisions, thereby expanding the modeling scope. In this presentation, we will describe various applications of IPGs, spanning from healthcare to supply chain management. Subsequently, we will review fundamental methodologies for identifying optimal solutions in integer programming and examine their extension to compute Nash equilibria in IPGs. We will conclude with a discussion of the limitations and potential extensions of current approaches, along with an outline of future research directions.
