Linear and Utilitarian Choice Functions: Revisiting Myerson's Theorem.

Benjamin Bachi; Shiran Rachmilevitch

doi:10.1287/moor.2021.1157

Linear and Utilitarian Choice Functions: Revisiting Myerson's Theorem.

Benjamin Bachi, Shiran Rachmilevitch

Department of Economics

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

Abstract

Myerson proved that every linear and weakly Paretian choice function is utilitarian. We revisit his model and result for the two-person case and supplement it with an "only if" direction. That is, we characterize the class of linear and weakly Paretian two-person choice functions. It turns out that these are the utilitarian functions with an "egalitarian tie-breaking."

Original language	English
Pages (from-to)	989-994
Number of pages	6
Journal	Mathematics of Operations Research
Volume	47
Issue number	2
DOIs	https://doi.org/10.1287/moor.2021.1157
State	Published - 1 May 2022

Bibliographical note

Publisher Copyright:
© 2021 INFORMS

Keywords

Utilitarianism
choice functions
linearity
Primary: 91B14
secondary: 91B15
utilitarianism

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10.1287/moor.2021.1157

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KW - secondary: 91B15

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Linear and Utilitarian Choice Functions: Revisiting Myerson's Theorem.

Abstract

Bibliographical note

Keywords

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