Axiomatizations of the proportional division value
From MaRDI portal
Publication:2058838
DOI10.1007/S00355-020-01299-3zbMath1479.91160OpenAlexW2991691008MaRDI QIDQ2058838
Youngsub Chun, Zhengxing Zou, Yukihiko Funaki, René van den Brink
Publication date: 10 December 2021
Published in: Social Choice and Welfare (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00355-020-01299-3
Cooperative games (91A12) Resource and cost allocation (including fair division, apportionment, etc.) (91B32)
Related Items (6)
Sharing the surplus and proportional values ⋮ Union-wise egalitarian solutions in cooperative games with a coalition structure ⋮ Balanced externalities and the proportional allocation of nonseparable contributions ⋮ Explanation of pseudo-Boolean functions using cooperative game theory and prime implicants ⋮ Optimal strategies and profit allocation for three-echelon food supply chain in view of cooperative games with cycle communication structure ⋮ Lexicographic solutions for coalitional rankings based on individual and collective performances
Cites Work
- Unnamed Item
- Unnamed Item
- Characterizations of weighted and equal division values
- Consistency, population solidarity, and egalitarian solutions for TU-games
- Axiomatizations of a class of equal surplus sharing solutions for TU-games
- The separability axiom and equal-sharing methods
- Equal or proportional division of a surplus, and other methods
- The proportional solution for rights problems
- Coincidence of and collinearity between game theoretic solutions
- The family of least square values for transferable utility games
- Semiproportional values for TU games
- The proportional value for positive cooperative games
- The proportional Shapley value and applications
- Monotonicity implies linearity: characterizations of convex combinations of solutions to cooperative games
- Value dividends, the Harsanyi set and extensions, and the proportional Harsanyi solution
- The Shapley value, the proper Shapley value, and sharing rules for cooperative ventures
- On proper Shapley values for monotone TU-games
- Properties based on relative contributions for cooperative games with transferable utilities
- A proportional value for cooperative games with a coalition structure
- Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results
- Axiomatizations of the proportional Shapley value
- Path monotonicity, consistency and axiomatizations of some weighted solutions
- Null or nullifying players: the difference between the Shapley value and equal division solutions
- Null, nullifying, or dummifying players: the difference between the Shapley value, the equal division value, and the equal surplus division value
- THE CORE AND CONSISTENCY PROPERTIES: A GENERAL CHARACTERISATION
- Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing
- Potential, Value, and Consistency
- Pure Bargaining Problems and the Shapley Rule
This page was built for publication: Axiomatizations of the proportional division value