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The even split rule for (concave) symmetric supermodular functions

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  • Jia, Hao

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.

Suggested Citation

  • Jia, Hao, 2020. "The even split rule for (concave) symmetric supermodular functions," Economics Letters, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:ecolet:v:186:y:2020:i:c:s0165176519303933
    DOI: 10.1016/j.econlet.2019.108783
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    References listed on IDEAS

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    More about this item

    Keywords

    Supermodular functions; Pareto efficient allocations; Even split rule;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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