Minimal balanced collections and their application to core stability and other topics of game theory

DOI10.1016/j.dam.2023.07.025zbMath1530.91042MaRDI QIDQ6069152

Michel Grabisch, Peter Sudhölter, Dylan Laplace Mermoud

Publication date: 13 November 2023

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmhypergraphbalancednessstable setcorecooperative gameminimal balanced collection

Mathematics Subject Classification ID

Cooperative games (91A12) Hypergraphs (05C65)

Cites Work

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• On the reduced game property and its converse
• A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
• Orderings, excess functions, and the nucleolus
• Large cores and exactness
• Positive Sum Systems
• On the Complexity of Cooperative Solution Concepts
• The Proof That a Game May Not Have a Solution
• The kernel of a cooperative game

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