The even split rule for (concave) symmetric supermodular functions

Hao Jia

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number108783
JournalEconomics Letters
Volume186
DOIs
Publication statusPublished - Jan 2020
Externally publishedYes

Keywords

  • Even split rule
  • Pareto efficient allocations
  • Supermodular functions

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics

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