Broadly decreasing risk aversion

Citation
Gm. Gelles et Dw. Mitchell, Broadly decreasing risk aversion, MANAG SCI, 45(10), 1999, pp. 1432-1439
Citations number
13
Categorie Soggetti
Management
Journal title
MANAGEMENT SCIENCE
ISSN journal
00251909 → ACNP
Volume
45
Issue
10
Year of publication
1999
Pages
1432 - 1439
Database
ISI
SICI code
0025-1909(199910)45:10<1432:BDRA>2.0.ZU;2-2
Abstract
his paper considers decision-making in the presence of two additive risk so urces, with no restrictions on the relation between the two risks. A utilit y function is said to exhibit broad DARA if and only if a rise in wealth al ways decreases the magnitude of the risk premium for one of the risks vis-a -vis the other. A condition on utility functions giving this property is de rived: utility must be of the linear plus exponential form. It is shown tha t certain problems involving portfolios and risk-averse firms give unambigu ous comparative statics if and only if utility exhibits broad DARA.