Directed and weighted majority games

DOI10.1007/BF01415753zbMath0841.90134OpenAlexW2009037541MaRDI QIDQ4861876

I. Krohn, Peter Sudhölter

Publication date: 24 July 1996

Published in: [https://portal.mardi4nfdi.de/entity/Q3031760 ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01415753

zbMATH Keywords

simple gamesweighted majority games

Mathematics Subject Classification ID

Cooperative games (91A12) Linear programming (90C05)

Related Items (20)

On the inverse power index problem ⋮ On Dedekind's problem for complete simple games ⋮ The cost of getting local monotonicity ⋮ Trading transforms of non-weighted simple games and integer weights of weighted simple games ⋮ On weights and quotas for weighted majority voting games ⋮ Forms of representation for simple games: sizes, conversions and equivalences ⋮ Voting power in the EU council of ministers and fair decision making in distributive politics ⋮ IMPORTANCE IN SYSTEMS WITH INTERVAL DECISIONS ⋮ Proper strong-Fibonacci games ⋮ On minimum integer representations of weighted games ⋮ Sequential legislative lobbying ⋮ Enumeration of weighted games with minimum and an analysis of voting power for bipartite complete games with minimum ⋮ On minimum sum representations for weighted voting games ⋮ A note on the growth of the dimension in complete simple games ⋮ The integer nucleolus of directed simple games: a characterization and an algorithm ⋮ Weighted committee games ⋮ On the existence of a minimum integer representation for weighted voting systems ⋮ Star-shapedness of the kernel for homogeneous games ⋮ SOME OPEN PROBLEMS IN SIMPLE GAMES ⋮ Roughly weighted hierarchical simple games

Cites Work

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• The desirability relation of simple games
• On the minimal representation of homogeneous games
• Regular simple games
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• Homogeneous games as anti step functions
• A characterization, existence proof and dimension bounds for the kernel of a game
• Homogeneous Games: Recursive Structure and Computation
• Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts
• Representations of $\mathfrak{sl}( 2,\mathbb{C} )$ on Posets and the Sperner Property
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• Solution of Two Difficult Combinatorial Problems with Linear Algebra
• A Method for Computing the Kernel of n-Person Games
• On the Enumeration of Majority Games
• On Weights of Constant-Sum Majority Games

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