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

16 Pages Posted: 7 Jun 2019

See all articles by Mario Arturo Ruiz Estrada

Mario Arturo Ruiz Estrada

University of Malaya (UM) - Faculty of Economics & Administration (FEA)

Evangelos Koutronas

Universiti Sains Malaysia

Date Written: May 21, 2019

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

Suggested Citation

Ruiz Estrada, Mario Arturo and Koutronas, Evangelos, N-Non-Cooperative Games Under a Dynamic Multidimensional Graphical Prism (May 21, 2019). Available at SSRN: https://ssrn.com/abstract=3391701 or http://dx.doi.org/10.2139/ssrn.3391701

Mario Arturo Ruiz Estrada (Contact Author)

University of Malaya (UM) - Faculty of Economics & Administration (FEA) ( email )

Kuala Lumpur, 50603
Malaysia
+60126850293 (Phone)

HOME PAGE: http://ssrc.um.edu.my/

Evangelos Koutronas

Universiti Sains Malaysia ( email )

Minden, Penang
Malaysia

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