Games with continuous action spaces

Abstract

This chapter focuses on Nash games with continuous kernel, i.e., games with continuous action spaces and cost functions. Basic concepts and results are reviewed focused on game formulations, Nash equilibria, reaction curves, and existence results. These are mostly adapted from (Basar and Olsder in Dynamic Noncooperative Game Theory. SIAM Series Classics in Applied Mathematics, 2nd edn., 1999). For more in-depth treatment the reader is referred to this and other more extensive references on the subject.