Linear and Utilitarian Choice Functions: Revisiting Myerson’s Theorem

Benjamin Bachi () and Shiran Rachmilevitch ()
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Benjamin Bachi: Department of Economics, University of Haifa, Mount Carmel, Haifa 31905, Israel
Shiran Rachmilevitch: Department of Economics, University of Haifa, Mount Carmel, Haifa 31905, Israel

Mathematics of Operations Research, 2022, vol. 47, issue 2, 989-994

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.”

Keywords: Primary: 91B14; secondary: 91B15; choice functions; utilitarianism; linearity (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormoor:v:47:y:2022:i:2:p:989-994

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