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Closed covers of compact convex polyhedra

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Publication:1179444
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DOI10.1007/BF01240276zbMath0761.52010MaRDI QIDQ1179444

Tatsuro Ichiishi, Adam Idzik

Publication date: 26 June 1992

Published in: International Journal of Game Theory (Search for Journal in Brave)


zbMATH Keywords

convex polyhedraKnaster-Kuratowski-Mazurkiewicz type theorem


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)


Related Items (2)

General existence theorem of zero points ⋮ Equitable allocation of divisible goods



Cites Work

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  • Equilibrium in a discrete exchange economy with money
  • On the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem
  • Theorems on closed coverings of a simplex and their applications to cooperative game theory
  • Alternative Version of Shapley's Theorem on Closed Coverings of a Simplex
  • Combinatorial Theorems on the Simplotope that Generalize Results on the Simplex and Cube
  • A set intersection theorem and applications
  • The Approximation of Fixed Points of a Continuous Mapping
  • A Covering Property of Simplexes.


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