On General Minimax Theorems¶
Authors: Maurice Sion
Published: 1958 (Journal Paper)
Source: Pacific Journal of Mathematics
Algorithm: Sion Minimax Theorem
Summary¶
Proves a generalization of von Neumann's minimax theorem to quasi-convex/quasi-concave functions on compact convex sets in topological vector spaces, without requiring the sets to be finite-dimensional. The Sion minimax theorem is a foundational result in game theory and saddle-point optimization.
Abstract¶
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Tags¶
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Minimax theorem
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Game theory
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Convexity
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Fixed-point theory
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Optimization