The even split rule for (concave) symmetric supermodular functions

Hao Jia

Economics Letters, 2020, vol. 186, issue C

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.

Keywords: Supermodular functions; Pareto efficient allocations; Even split rule (search for similar items in EconPapers)
JEL-codes: C78 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:186:y:2020:i:c:s0165176519303933

DOI: 10.1016/j.econlet.2019.108783

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