Alternative Version of Shapley's Theorem on Closed Coverings of a Simplex

DOI10.2307/2046787zbMath0697.47062OpenAlexW3148556839MaRDI QIDQ3473705

Tatsuro Ichiishi

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046787

zbMATH Keywords

Sperner's theoremKnaster-Kuratowski-Mazurkiewicz theoremmultiperson cooperative game theory

Mathematics Subject Classification ID

Cooperative games (91A12) Fixed-point theorems (47H10)

Related Items (14)

On Kakutani's fixed point theorem, the K-K-M-S theorem and the core of a balanced game ⋮ Socially structured games ⋮ General existence theorem of zero points ⋮ Intersection theorems with a continuum of intersection points ⋮ Rental harmony with roommates ⋮ On a homotopy invariant for simplexes and its application ⋮ Equitable allocation of divisible goods ⋮ Market allocation of indivisible goods ⋮ Existence of fuzzy cores and generalizations of the K-K-M-S theorem ⋮ Closed covers of compact convex polyhedra ⋮ The hybrid solutions of an \(n\)-person game ⋮ Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros ⋮ Theorems on closed coverings of a simplex and their applications to cooperative game theory ⋮ Generalization of the Bolzano theorem for simplices

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