Comparative Risk Aversion When the Outcomes are Vectors

Sudhir A. Shah

Working Papers from eSocialSciences

Abstract: Pratt (1964) and Yaari (1969) contain the classical results pertaining to the equivalence of various notions of comparative risk aversion of von Neumann- Morgenstern utilities in the setting with real-valued outcomes. They have obtained analogues of the classical results in the setting with outcomes in ordered topological vector spaces when differentiability is not required, and in the setting with out comes in ordered Hilbert spaces when differentiability is required, as is the case when we work with a vector-valued generalized notion of an Arrow-Pratt coefficient. [Working Paper No. 149]

Keywords: Comparative risk aversion; vector space of outcomes; acceptance set; vector-valued risk premia; vector- valued Arrow-Prattcoefficient; Pettis integral; ordered topological vector spaces; ordered Hilbert spaces (search for similar items in EconPapers)
Date: 2010-09
New Economics Papers: this item is included in nep-upt
Note: Institutional Papers
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