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Game Theory

Game theory is the mathematical study of strategic interaction, analyzing how outcomes depend on the interdependent choices of participants.

Type: Field Domain: Mathematics Social Science Era: 1928 — 1950

Overview

Rooted in foundational work by John von Neumann and Oskar Morgenstern in the 1940s and extended by John Nash, game theory provides mathematical models for conflict, cooperation, and negotiation. Nash equilibrium characterizes states where no participant can unilaterally improve their payoff given the strategies of others. The framework analyzes strategic behavior under varying assumptions of information, rationality, and repeated interaction.

Why it matters

Game theory established foundational analytical tools in microeconomics, auction design, and strategic defense planning during the Cold War. In evolutionary biology, evolutionary game theory models frequency-dependent selection and behavioral stability without assuming conscious rationality.

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