A note on sign symmetry for a subclass of efficient, symmetric, and linear values

Wenzhong Li; Genjiu Xu; René van den Brink

doi:10.1016/j.orl.2022.01.006

A note on sign symmetry for a subclass of efficient, symmetric, and linear values

Wenzhong Li, Genjiu Xu^*, René van den Brink

^*Corresponding author for this work

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Abstract

Symmetry requires that equally productive players should get the same payoff. Sign symmetry is a considerable weakening of symmetry, which requires equally productive players' payoffs to have the same sign. In this note, we apply sign symmetry, as a substitute of symmetry to characterize a subclass of efficient, symmetric, and linear values.

Original language	English
Pages (from-to)	133-136
Number of pages	4
Journal	Operations Research Letters
Volume	50
Issue number	2
Early online date	21 Jan 2022
DOIs	https://doi.org/10.1016/j.orl.2022.01.006
Publication status	Published - Mar 2022

Bibliographical note

Funding Information:
The authors thank a reviewer for useful suggestions and comments for the improvement of this paper. This work is supported by the National Natural Science Foundation of China (Grant No. 72071159 ), National Key R&D Program of China (Grant No. 2021YFA1000400 ), and China Scholarship Council (Grant No. 202006290157 ).

Publisher Copyright:
© 2022 Elsevier B.V.

Keywords

Characterization
Cooperative games
Efficient, symmetric, and linear values
Sign symmetry

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10.1016/j.orl.2022.01.006

A note on sign symmetry for a subclass of efficient symmetric and linear valuesFinal published version, 257 KBLicence: Article 25fa Dutch Copyright Act

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abstract = "Symmetry requires that equally productive players should get the same payoff. Sign symmetry is a considerable weakening of symmetry, which requires equally productive players' payoffs to have the same sign. In this note, we apply sign symmetry, as a substitute of symmetry to characterize a subclass of efficient, symmetric, and linear values.",

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AU - van den Brink, René

N1 - Funding Information: The authors thank a reviewer for useful suggestions and comments for the improvement of this paper. This work is supported by the National Natural Science Foundation of China (Grant No. 72071159 ), National Key R&D Program of China (Grant No. 2021YFA1000400 ), and China Scholarship Council (Grant No. 202006290157 ). Publisher Copyright: © 2022 Elsevier B.V.

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N2 - Symmetry requires that equally productive players should get the same payoff. Sign symmetry is a considerable weakening of symmetry, which requires equally productive players' payoffs to have the same sign. In this note, we apply sign symmetry, as a substitute of symmetry to characterize a subclass of efficient, symmetric, and linear values.

AB - Symmetry requires that equally productive players should get the same payoff. Sign symmetry is a considerable weakening of symmetry, which requires equally productive players' payoffs to have the same sign. In this note, we apply sign symmetry, as a substitute of symmetry to characterize a subclass of efficient, symmetric, and linear values.

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KW - Cooperative games

KW - Efficient, symmetric, and linear values

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A note on sign symmetry for a subclass of efficient, symmetric, and linear values

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