The nucleolus of a standard tree game revisited: a study of its monotonicity and computational properties

DOI10.1007/s00182-009-0176-3zbMath1211.91083OpenAlexW1964130518MaRDI QIDQ532713

Hans Reijnierse, Michael Maschler, Jos A. M. Potters

Publication date: 5 May 2011

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

Full work available at URL: https://doi.org/10.1007/s00182-009-0176-3

zbMATH Keywords

nucleoluspopulation monotonic allocation schemestandard tree games

Mathematics Subject Classification ID

Cooperative games (91A12) Games involving graphs (91A43)

Related Items (9)

On the lexicographic centre of multiple objective optimization ⋮ Operations research games: A survey. (With comments and rejoinder) ⋮ Characterization sets for the nucleolus in balanced games ⋮ Horizontal cooperation in a multimodal public transport system: the profit allocation problem ⋮ Cost Sharing in Production Economies ⋮ On how to allocate the fixed cost of transport systems ⋮ On the core and nucleolus of directed acyclic graph games ⋮ A new rule for source connection problems ⋮ A heuristic procedure for computing the nucleolus

Cites Work

• Unnamed Item
• Problems of fair division and the egalitarian solution
• Applications of efficient mergeable heaps for optimization problems on trees
• Population monotonic allocation schemes for cooperative games with transferable utility
• The kernel/nucleolus of a standard tree game
• The kernel and bargaining set for convex games
• The Fair Division of a Fixed Supply Among a Growing Population
• Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts
• Computational Complexity of the Game Theory Approach to Cost Allocation for a Tree
• The Nucleolus of a Characteristic Function Game
• On the Nucleolus of a Characteristic Function Game

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