The modified nucleolus: Properties and axiomatizations

DOI10.1007/BF01295846zbMath0881.90144OpenAlexW3126083403MaRDI QIDQ1358626

Peter Sudhölter

Publication date: 3 July 1997

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

Full work available at URL: https://doi.org/10.1007/bf01295846

zbMATH Keywords

prenucleolusaxiomatizationscooperative transferable utility gamesmodified nucleolus

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (20)

Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations ⋮ Properties of solutions of cooperative games with transferable utilities ⋮ Optimal coalition formation and surplus distribution: two sides of one coin ⋮ Voting power in the EU council of ministers and fair decision making in distributive politics ⋮ A characterization of the nucleolus without homogeneity in airport problems ⋮ The simplified modified nucleolus of a cooperative TU-game ⋮ Cartels via the modiclus. ⋮ The least square B-nucleolus for fuzzy cooperative games ⋮ SOME EXCESS-BASED SOLUTIONS FOR COOPERATIVE GAMES WITH TRANSFERABLE UTILITY ⋮ On how to allocate the fixed cost of transport systems ⋮ Characterizations of highway toll pricing methods ⋮ The positive core of a cooperative game ⋮ The general prenucleolus of \(n\)-person cooperative fuzzy games ⋮ Constructive and blocking power in collaborative transportation ⋮ A review on cost allocation methods in collaborative transportation ⋮ Axiomatizations of Dutta-Ray's egalitarian solution on the domain of convex games ⋮ Monotonicity and Weighted Prenucleoli: A Characterization Without Consistency ⋮ Axiomatizations of game theoretical solutions for one-output cost sharing problems ⋮ Star-shapedness of the kernel for homogeneous games ⋮ Airport problems and consistent allocation rules.

Cites Work

• Unnamed Item
• The desirability relation of simple games
• On the minimal representation of homogeneous games
• A characterization, existence proof and dimension bounds for the kernel of a game
• Cores of convex games
• The kernel and bargaining set for convex games
• Homogeneous Games: Recursive Structure and Computation
• Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts
• On Weights of Constant-Sum Majority Games
• The Nucleolus of a Characteristic Function Game
• The kernel of a cooperative game
• On the Nucleolus of a Characteristic Function Game

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