New Characterizations of Increasing Risk

Posted: 3 Dec 2016

See all articles by David P. Brown

David P. Brown

University of Wisconsin - Madison - Department of Finance, Investment and Banking

Date Written: December 1, 2016

Abstract

I present alternative constructions of gambles with greater risk. Rothschild and Stiglitz (1970) demonstrate that gamble Y has greater risk than X when Y is equal in distribution to X Z, where Z is noise. Gambles called positive-upper-conditional-mean errors are introduced, and I show that Y has greater risk than X when Z is a PUCME and is not noise. Simple examples demonstrate that the set of PUCMEs is strictly greater than the set of gambles that are noise.

Keywords: increasing risk, risk aversion, concave utility, noise

JEL Classification: D81

Suggested Citation

Brown, David P., New Characterizations of Increasing Risk (December 1, 2016). Journal of Mathematical Economics, Forthcoming, Available at SSRN: https://ssrn.com/abstract=2879477

David P. Brown (Contact Author)

University of Wisconsin - Madison - Department of Finance, Investment and Banking ( email )

975 University Avenue
Madison, WI 53706
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608-265-5281 (Phone)
608-265-4195 (Fax)

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