On General Minimax Theorems.¶
Sion, M. (1958). On General Minimax Theorems. Pacific Journal of Mathematics, 171-176.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Minimax Strategy
- The dual fact is the minimax inequality — max-min is at most min-max, with equality at a saddle point under specific convexity and compactness conditions — and the size of any gap measures how much the player forced to commit first loses to the player who responds optimally.
This sourceGeneralizes the minimax equality to quasi-concave-convex, semi-continuous functions, giving convexity/compactness-type conditions under which a saddle point exists (max-min = min-max).
- The dual fact is the minimax inequality — max-min is at most min-max, with equality at a saddle point under specific convexity and compactness conditions — and the size of any gap measures how much the player forced to commit first loses to the player who responds optimally.
Domain-specific¶
Verification¶
This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.
Registry ID ref:4d2a818e99ad · see in the full table