The even split rule for (concave) symmetric supermodular functions

Hao Jia

doi:10.1016/j.econlet.2019.108783

The even split rule for (concave) symmetric supermodular functions

Hao Jia

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

Abstract

This paper complements Jia (2019) by proving that the even split rule is the only Pareto efficient allocation that breaks down any concave symmetric supermodular function into two supermodular functions. It further provides an alternative proof for Theorem 1 of Jia (2019), which confirms that the even split rule is necessary to ensure any symmetric supermodular function, regardless its convexity or concavity, could be divided into two supermodular functions.

Original language	English
Article number	108783
Journal	Economics Letters
Volume	186
DOIs	https://doi.org/10.1016/j.econlet.2019.108783
Publication status	Published - Jan 2020
Externally published	Yes

Keywords

Even split rule
Pareto efficient allocations
Supermodular functions

ASJC Scopus subject areas

Finance
Economics and Econometrics

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10.1016/j.econlet.2019.108783

Cite this

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abstract = "This paper complements Jia (2019) by proving that the even split rule is the only Pareto efficient allocation that breaks down any concave symmetric supermodular function into two supermodular functions. It further provides an alternative proof for Theorem 1 of Jia (2019), which confirms that the even split rule is necessary to ensure any symmetric supermodular function, regardless its convexity or concavity, could be divided into two supermodular functions.",

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AB - This paper complements Jia (2019) by proving that the even split rule is the only Pareto efficient allocation that breaks down any concave symmetric supermodular function into two supermodular functions. It further provides an alternative proof for Theorem 1 of Jia (2019), which confirms that the even split rule is necessary to ensure any symmetric supermodular function, regardless its convexity or concavity, could be divided into two supermodular functions.

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The even split rule for (concave) symmetric supermodular functions

Abstract

Keywords

ASJC Scopus subject areas

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