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A note on Aumann and Serrano’s index of riskiness

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  • Schreiber, Amnon

Abstract

We present a new implication of Aumann and Serrano’s (2008) index of riskiness for decision makers: if one gamble is riskier than another gamble, decision makers whose initial wealth level is above a certain threshold, and who reject the less risky gamble, will also reject the riskier one. A similar (but not identical) result is shown for multiplicative gambles.

Suggested Citation

  • Schreiber, Amnon, 2015. "A note on Aumann and Serrano’s index of riskiness," Economics Letters, Elsevier, vol. 131(C), pages 9-11.
    • Handle: RePEc:eee:ecolet:v:131:y:2015:i:c:p:9-11
    DOI: 10.1016/j.econlet.2015.03.014
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    References listed on IDEAS

    as
    1. Dean P. Foster & Sergiu Hart, 2009. "An Operational Measure of Riskiness," Journal of Political Economy, University of Chicago Press, vol. 117(5), pages 785-814.
    2. Robert J. Aumann & Roberto Serrano, 2008. "An Economic Index of Riskiness," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 810-836, October.
    3. Sergiu Hart, 2011. "Comparing Risks by Acceptance and Rejection," Journal of Political Economy, University of Chicago Press, vol. 119(4), pages 617-638.
    4. Amnon Schreiber, 2014. "Economic indices of absolute and relative riskiness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 309-331, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Hellman, Ziv & Schreiber, Amnon, 2018. "Indexing gamble desirability by extending proportional stochastic dominance," Games and Economic Behavior, Elsevier, vol. 109(C), pages 523-543.
    2. Heller, Yuval & Schreiber, Amnon, 2020. "Short-term investments and indices of risk," Theoretical Economics, Econometric Society, vol. 15(3), July.
    3. Yuval Heller & Amnon Schreiber, 2020. "Short-Term Investments and Indices of Risk," Papers 2005.06576, arXiv.org.

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    More about this item

    Keywords

    Risk; Risk aversion; Stochastic dominance; Acceptance dominance;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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