A functional equation arising from ranked additive and separable utility-Reference-Cited by-同舟云学术

A functional equation arising from ranked additive and separable utility

Published:2000-10-04 Issue:4 Volume:129 Page:989-998
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aczél János,Maksa Gyula,Ng Che,Páles Zsolt

Abstract

All strictly monotonic solutions of a general functional equation are determined. In a particular case, which plays an essential role in the axiomatization of rank-dependent expected utility, all nonnegative solutions are obtained without any regularity conditions. An unexpected possibility of reduction to convexity makes the present proof possible.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-04/S0002-9939-00-05686-0/S0002-9939-00-05686-0.pdf

Reference12 articles.

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4. J. Aczél, Gy. Maksa, and Zs. Páles, Solution of a functional equation arising in an axiomatization of the utility of binary gambles, Proc. Amer. Math. Soc. (to appear).

5. Graduate Texts in Mathematics, No. 25;Hewitt, Edwin,1975

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