Theorems on closed coverings of a simplex and their applications to cooperative game theory

DOI10.1016/0022-247X(90)90346-HzbMath0685.90107MaRDI QIDQ1262231

Adam Idzik, Tatsuro Ichiishi

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

closed coverings of a simplex

Mathematics Subject Classification ID

Cooperative games (91A12) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (6)

A theorem on open coverings of a simplex and Scarf's core existence theorem through Brouwer's fixed point theorem ⋮ A united approach to generalization of the KKM-type theorems related to acyclic maps ⋮ An ordinal solution to bargaining problems with many players. ⋮ Equitable allocation of divisible goods ⋮ Closed covers of compact convex polyhedra ⋮ Intersecting balanced families of sets

Cites Work

• Some properties of convex sets related to fixed point theorems
• The core of a cooperative game without side payments
• On the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem
• The fixed point theory of multi-valued mappings in topological vector spaces
• Extensions of two fixed point theorems of F. E. Browder
• A combinatorial property of pseudomanifolds and covering properties of simplexes
• Alternative Version of Shapley's Theorem on Closed Coverings of a Simplex
• Equilibrium Points of Bimatrix Games
• The Approximation of Fixed Points of a Continuous Mapping
• A Covering Property of Simplexes.
• The Core of an N Person Game
• On Closed Coverings of Simplexes
• Some theorems on the core of ann-Game without Side-Payments
• Some recent results inn-person game theory
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