Game Theory: Concepts, Applications, and Insights from Operations Research

Chang Che; Junchi Tian

doi:10.5281/zenodo.13924241

Authors

Chang Che The George Washington University
Junchi Tian The George Washington University

DOI:

https://doi.org/10.5281/zenodo.13924241

ARK:

https://n2t.net/ark:/40704/JCTAM.v1n4a07

Disciplines:

Applied Mathematics

Subjects:

Game Theory

References:

28

Keywords:

Game Theory, Nash Equilibrium, Mixed Strategy, Operational Research, Cooperative Games

Abstract

Game theory is a branch of complex system analysis that deals with the mathematical modeling of strategic interactions among rational agents. It has been widely used across various fields, such as economics, social sciences, computer science, and operational research. This paper provides an overview of game theory, discussing its foundational concepts, including non-cooperative and cooperative games, Nash equilibrium, and mixed strategies. The study explores extensive-form, repeated, Bayesian, and coalitional games, highlighting applications in operational research and the implications for decision-making under competition.

Author Biographies

Chang Che, The George Washington University

The George Washington University, US.

Junchi Tian, The George Washington University

The George Washington University, US.

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