N-Non-Cooperative Games Under a Dynamic Multidimensional Graphical Prism

Abstract

This paper explores the concept of multidimensional Nash equilibrium as a prospective solution in a non-cooperative multi-player normal form game. The paper suggests a paradigm shift: a new multidimensional geometric approach to capture all symmetrical and asymmetrical strategic graphical movements in real space and time. The Multidimensional Non-Cooperative Games Graphical Framework (MNCGG-Framework) extends the traditional two-dimensional normal form game into a multidimensional graphical framework that synchronizes the optimal agent interactions with corresponding payoffs in real-time. The paper applies the proposed graphical framework on John Forbes Nash’s six examples on non-cooperative games taken from his doctoral dissertation.

Keywords: Non-cooperative games, John F. Nash, Barging Problem, Econographicology, Multi-Dimensional graphs and Multi-Dimensional Geometry

JEL Classification: C7, C71, C78