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

Research output: Contribution to Journal › Article › Academic › peer-review

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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.

Original language	English
Pages (from-to)	185-217
Number of pages	33
Journal	Theory and Decision
Volume	93
Issue number	1
Early online date	13 Sept 2021
DOIs	https://doi.org/10.1007/s11238-021-09840-1
Publication status	Published - Jul 2022

Bibliographical note

Funding Information:
The authors thank an associate editor, eight anonymous referees, Manfred Besner, and Xun-Feng Hu for useful comments. Zhengxing Zou thanks the financial support of the National Natural Science Foundation of China (Grant Nos. 71771025, 71801016) and the China Scholarship Council (Grant No. 201806030046). Yukihiko Funaki is supported by JSPS KAKENHI Grant Numbers JP17H02503 and JP18KK0046.

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Funding

The authors thank an associate editor, eight anonymous referees, Manfred Besner, and Xun-Feng Hu for useful comments. Zhengxing Zou thanks the financial support of the National Natural Science Foundation of China (Grant Nos. 71771025, 71801016) and the China Scholarship Council (Grant No. 201806030046). Yukihiko Funaki is supported by JSPS KAKENHI Grant Numbers JP17H02503 and JP18KK0046.

Funders	Funder number
National Natural Science Foundation of China	71771025, 71801016
Japan Society for the Promotion of Science	18KK0046, JP17H02503
China Scholarship Council	201806030046

Keywords

Axiomatization
Balanced contributions
Cooperative game
Proportional value
Surplus sharing

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s11238-021-09840-1

Sharing the surplus and proportional valuesFinal published version, 467 KBLicence: Article 25fa Dutch Copyright Act

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title = "Sharing the surplus and proportional values",

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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Sharing the surplus and proportional values

Abstract

Bibliographical note

Funding

Keywords

UN SDGs

Access to Document

Persistent URL (handle)

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