Axiomatizations of game theoretical solutions for one-output cost sharing problems

DOI10.1006/game.1997.0603zbMath0910.90278OpenAlexW2021428772MaRDI QIDQ1269886

Peter Sudhölter

Publication date: 18 October 1998

Published in: Games and Economic Behavior (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/80d0ed34998a4f16afc3e77d1de075feea712b55

zbMATH Keywords

nucleolusaverage cost pricingcost gamescost sharing rulesShapley rule

Mathematics Subject Classification ID

Cooperative games (91A12) Resource and cost allocation (including fair division, apportionment, etc.) (91B32)

Related Items (8)

Updating claims in bankruptcy problems ⋮ The equivalence of uniform and Shapley value-based cost allocations in a specific game ⋮ ON BARGAINING SETS IN SYMMETRIC GAMES ⋮ A characterization of the nucleolus without homogeneity in airport problems ⋮ Allocation inequality in cost sharing problem ⋮ Design of price mechanisms for network resource allocation via price of anarchy ⋮ Systemic risk components and deposit insurance premia ⋮ A non-cooperative mechanism for the Shapley value of airport problems

Cites Work

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• The prenucleolus and the reduced game property: Equal treatment replaces anonymity
• On the uniqueness of the Shapley value
• Average cost pricing versus serial cost sharing: An axiomatic comparison
• The modified nucleolus: Properties and axiomatizations
• A characterization, existence proof and dimension bounds for the kernel of a game
• The kernel and bargaining set for convex games
• Potential, Value, and Consistency
• Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts
• Serial Cost Sharing
• Values of Non-Atomic 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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