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The uniqueness of local proper scoring rules: the logarithmic family

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  • Jingni Yang

    (Australian National University)

Abstract

Local proper scoring rules provide convenient tools for measuring subjective probabilities. Savage (J Am Stat Assoc 66(336), 783–801, 1971) has shown that the only local proper scoring rule for more than two exclusive events is the logarithmic family. We generalize Savage (1971) by relaxing the properness and the domain, and provide simpler proof.

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  • Jingni Yang, 2020. "The uniqueness of local proper scoring rules: the logarithmic family," Theory and Decision, Springer, vol. 88(2), pages 315-322, March.
    • Handle: RePEc:kap:theord:v:88:y:2020:i:2:d:10.1007_s11238-019-09727-2
    DOI: 10.1007/s11238-019-09727-2
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    References listed on IDEAS

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    Cited by:

    1. Olivier L'Haridon & Craig S. Webb & Horst Zank, 2021. "An Effective and Simple Tool for Measuring Loss Aversion," Economics Discussion Paper Series 2107, Economics, The University of Manchester.

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