Analysis of the Principle and Application of Nash Equilibrium

Abstract

The Nash equilibrium stands as a fundamental concept in the realm of game theory. And this theorem offering a predictive framework for the outcomes of strategic interactions among rational entities. Introduced by John Nash in 1950, this concept has become an indispensable tool across multiple disciplines, including economics, political science, and biology, where decision-making is mutually dependent. At its core, Nash equilibrium is achieved when no participant can gain by solely changing their strategy, assuming others and maintain theirs. This study explores the principle of Nash equilibrium, tracing its historical roots, examining its current applications, and considering its future potential, thereby providing a thorough analysis of its influence on strategic decision-making. This research report is motivated by a desire to deepen the understanding of the Nash equilibrium's principles and its practical applications in modern scenarios. The framework includes a thorough literature review, an analysis of current applications, and the identification of limitations and future research directions for the Nash equilibrium.