Sharing the surplus and proportional values

Zhengxing Zou; René van den Brink; Yukihiko Funaki

doi:10.1007/s11238-021-09840-1

Sharing the surplus and proportional values

Zhengxing Zou^*, René van den Brink, Yukihiko Funaki

^*Corresponding author for this work

School of Political Science and Economics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We introduce a family of proportional surplus division values for TU-games. Each value first assigns to each player a compromise between her stand-alone worth and the average stand-alone worths over all players, and then allocates the remaining worth among the players in proportion to their stand-alone worths. This family contains the proportional division value and the new egalitarian proportional surplus division value as two special cases. We provide characterizations for this family of values, as well as for each single value in this family.

Original language	English
Pages (from-to)	185-217
Number of pages	33
Journal	Theory and Decision
Volume	93
Issue number	1
DOIs	https://doi.org/10.1007/s11238-021-09840-1
Publication status	Published - 2022 Jul

Keywords

Axiomatization
Balanced contributions
Cooperative game
Proportional value
Surplus sharing

ASJC Scopus subject areas

General Decision Sciences
Developmental and Educational Psychology
Arts and Humanities (miscellaneous)
Applied Psychology
General Social Sciences
General Economics,Econometrics and Finance
Computer Science Applications

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10.1007/s11238-021-09840-1

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abstract = "We introduce a family of proportional surplus division values for TU-games. Each value first assigns to each player a compromise between her stand-alone worth and the average stand-alone worths over all players, and then allocates the remaining worth among the players in proportion to their stand-alone worths. This family contains the proportional division value and the new egalitarian proportional surplus division value as two special cases. We provide characterizations for this family of values, as well as for each single value in this family.",

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author = "Zhengxing Zou and {van den Brink}, Ren{\'e} and Yukihiko Funaki",

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T1 - Sharing the surplus and proportional values

AU - Zou, Zhengxing

AU - van den Brink, René

AU - Funaki, Yukihiko

PY - 2022/7

Y1 - 2022/7

N2 - We introduce a family of proportional surplus division values for TU-games. Each value first assigns to each player a compromise between her stand-alone worth and the average stand-alone worths over all players, and then allocates the remaining worth among the players in proportion to their stand-alone worths. This family contains the proportional division value and the new egalitarian proportional surplus division value as two special cases. We provide characterizations for this family of values, as well as for each single value in this family.

AB - We introduce a family of proportional surplus division values for TU-games. Each value first assigns to each player a compromise between her stand-alone worth and the average stand-alone worths over all players, and then allocates the remaining worth among the players in proportion to their stand-alone worths. This family contains the proportional division value and the new egalitarian proportional surplus division value as two special cases. We provide characterizations for this family of values, as well as for each single value in this family.

KW - Axiomatization

KW - Balanced contributions

KW - Cooperative game

KW - Proportional value

KW - Surplus sharing

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SP - 185

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JO - Theory and Decision

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IS - 1

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Sharing the surplus and proportional values

Abstract

Keywords

ASJC Scopus subject areas

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