On the minimal representation of homogeneous games

DOI10.1007/BF01756245zbMath0628.90100MaRDI QIDQ1093575

Axel Ostmann

Publication date: 1987

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

zbMATH Keywords

weighted majority gamesminimal representationshomogeneous games

Mathematics Subject Classification ID

Cooperative games (91A12) Social choice (91B14)

Related Items (18)

Decisions by players of comparable strength ⋮ The modified nucleolus: Properties and axiomatizations ⋮ The rôle of nondegeneracy and homogeneity in n-person game theory: An equivalence theorem ⋮ Homogeneous games with countably many players ⋮ The network of weighted majority rules and weighted majority games ⋮ Directed and weighted majority games ⋮ Voting power in the EU council of ministers and fair decision making in distributive politics ⋮ Demand bargaining and proportional payoffs in majority games ⋮ Proper strong-Fibonacci games ⋮ On minimum integer representations of weighted games ⋮ Restriction of simple games ⋮ The least core, nucleolus, and kernel of homogeneous weighted majority games ⋮ Monotonicity of power and power measures ⋮ The network of weighted majority rules and its geometric realizations ⋮ Star-shapedness of the kernel for homogeneous games ⋮ Interval measures of power ⋮ Homogeneous games as anti step functions ⋮ The nucleolus of homogeneous games with steps

Cites Work

• Unnamed Item
• A class of simple games
• On the kernel of constant-sum simple games with homogeneous weights
• A characterization, existence proof and dimension bounds for the kernel of a game
• A CLASS OF MAJORITY GAMES
• Mathematical Properties of the Banzhaf Power Index
• On the Enumeration of Majority Games
• On Weights of Constant-Sum Majority Games

This page was built for publication: On the minimal representation of homogeneous games