The first theorem in this sense is von Neumann 's minimax theorem about two-player zero-sum games published in 1928, [2] which is considered the starting point of game theory.

The Minimax algorithm is the most well-known strategy of play of two-player, zero-sum games. The minimax theorem was proven by John von Neumann in 1928. Minimax is a strategy of …

Take the maximum of the minimum gains, i.e. the maximum of row minima (maximin), and the minimum of the maximum losses, i.e. the minimum of column maxima (minimax).

In game theory, minimax is a decision rule used to minimize the worst-case potential loss; in other words, a player considers all of the best opponent responses to his strategies, and selects the …

Jun 13, 2022 · Minimax is a kind of backtracking algorithm that is used in decision making and game theory to find the optimal move for a player, assuming that your opponent also plays …

Minimax Theorem. There is a strategy profile (σ∗ 1, σ∗ 2) such that max min u(σ1, σ2) = u(σ∗ 1, σ1∈∆(S1) σ2∈∆(S2) σ∗ 2) = min max u(σ1, σ2). σ2∈∆(S2) σ1∈∆(S1)

Apr 17, 2025 · Explore the core principles of the Minimax Theorem with clear explanations and real-world game theory examples for better strategic thinking.

Dec 3, 2025 · The fundamental theorem of game theory which states that every finite, zero-sum, two-person game has optimal mixed strategies. It was proved by John von Neumann in 1928.

The minimax theorem is a fundamental principle in game theory that states that in a zero-sum game, the optimal strategy for a player is to minimize the possible loss for a worst-case scenario.

Minimax Principles Two-Player Zero-Sum Games. Payoff Matrix (the explicit form) Scissors Paper Stone Scissors (0,0) (1,−1) (−1,1) Paper (−1,1) (0,0) (1,−1) Stone (1,−1) (−1,1) (0,0) Rows: …