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Which real-world problems can game theory help analyze?

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A colorful payoff matrix for a normal form game in game theory, showing strategy options-support, oppose, evade-for both party A and party B. Each cell contains cartoon figures representing each party's action and lists percentage payoffs for A and B. The bottom-right cell is labeled saddlepoint, highlighting the equilibrium. — game theory Table 1
The normal-form table illustrates the concept of a saddlepoint, or entry, in a payoff matrix at which the expected gain of each participant (row or column) has the highest guaranteed payoff.

Game theory is a branch of applied mathematics used to analyze strategic interactions where the outcome for one participant depends on the choices of others. It provides a framework for understanding decision-making in various real-world fields:12

Economics and Business: It is used to design auctions (such as those for airwaves), determine optimal pricing strategies in competitive markets, and analyze the formation of business conglomerates.13
Political Science and Law: Game theory helps study international relations, defense policy, and election strategies. It has also been applied to evaluate voting power, challenge the constitutionality of weighted-voting systems, and analyze the influence of different political actors.3
Biology: The Hawk-Dove model explains how animals resolve conflicts over resources, such as mates or territory, through displays rather than escalated fighting to avoid injury.4
Conflict and Diplomacy: It provides tools for modeling war and bargaining, helping policymakers identify rational rules of behavior to avoid conflict or transform zero-sum situations into cooperative ones.52

By formalizing these interactions, game theory helps identify optimal strategies and stable outcomes in complex, interdependent systems.14