JID:YJETH AID:4257 /SCO [m1+; v 1.190; Prn:27/03/2014; 11:37] P.1(1-3) Available online at www.sciencedirect.com ScienceDirect Journal of Economic Theory ••• (••••) •••–••• www.elsevier.com/locate/jet 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14Q1 14 15 15 16Q2 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 Notes Comment on “Modeling non-monotone risk aversion using SAHARA utility functions” [J. Econ. Theory 146 (2011) 2075–2092] Zhenyu Cui ∗ Department of Mathematics, Brooklyn College, City University of New York, Ingersoll Hall, 2900 Bedford Ave, Brooklyn, NY 11210, United States Received 7 March 2014; final version received 22 March 2014; accepted 24 March 2014 Abstract We correct the results in Proposition 2.2 (p. 2078) of Chen et al. (2011) [1] and the part on comparison of prudence levels on p. 2081.  2014 Published by Elsevier Inc. JEL classification: G02; G11 Keywords: SAHARA utility; Prudence; Power utility 1. About property 4 of Proposition 2.2 At the bottom of p. 2078, the prudence p(x) is defined and computed as p(x) = α  β 2 + x 2 + x β 2 + x 2 . This formula is correct, and valid for all α> 0. It is positive for x ∈ R if α  1. Note that, for α ∈ (0, 1), by directly solving p(x) < 0, one has x< −αβ/ √ 1 − α 2 . However, at the bottom of DOI of original article: http://dx.doi.org/10.1016/j.jet.2011.06.011. * Fax: +1718 951 4674. E-mail address: zhenyucui@brooklyn.cuny.edu. http://dx.doi.org/10.1016/j.jet.2014.03.011 0022-0531/ 2014 Published by Elsevier Inc.