An extremely simple proof of the K-K-M-S theorem

DOI10.1007/s001990050161zbMath0882.90011OpenAlexW2163638029WikidataQ29305562 ScholiaQ29305562MaRDI QIDQ1365372

P. Jean-Jacques Herings

Publication date: 10 March 1998

Published in: Economic Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001990050161

zbMATH Keywords

Brouwer's fixed point theoremintersection theoremsbalanced collection of sets

Mathematics Subject Classification ID

Cooperative games (91A12) General equilibrium theory (91B50)

Related Items (8)

A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game ⋮ Socially structured games ⋮ KKM type theorems with boundary conditions ⋮ Rental harmony with roommates ⋮ Existence of fuzzy cores and generalizations of the K-K-M-S theorem ⋮ Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros ⋮ A direct proof of Shapley-Sperner's lemma based on the KKMS lemma ⋮ Generalization of the Bolzano theorem for simplices

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