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Game Theory

★★★☆☆High School

📖Definition

Game theory mathematically analyzes strategic interactions. It predicts outcomes when players act rationally.

📐Formulas

uᵢ(s^*ᵢ, s^*_-i) ≥ uᵢ(sᵢ, s^*_-i)

Nash equilibrium condition

✏️Examples

예제 1

Find the Nash equilibrium in the Prisoner's Dilemma.

📜History

Discovered by: John von Neumann, John Nash (1928, 1950)

Von Neumann laid foundations; Nash generalized the equilibrium concept.

Applications

Economics

Market competition, auctions

Political Science

Voting, negotiation

Biology

Evolutionarily stable strategies

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