A Conceptual Foundation for the Theory of Risk Aversion

Speaker
Yonatan Aumann
Date
03/11/2015 - 12:30 - 11:00Add To Calendar 2015-11-03 11:00:00 2015-11-03 12:30:00 A Conceptual Foundation for the Theory of Risk Aversion Abstract: Classically, risk aversion is equated with concavity of the utility function. In this work we explore the conceptual foundations of this definition. In accordance with neo-classical economics, we seek an ordinal definition, based on the decisions maker’s preference order, independent of numerical values. We present two such definitions, based on simple, conceptually appealing interpretations of the notion of risk-aversion. We then show that when cast in quantitative form these ordinal definitions coincide with the classical Arrow-Pratt definition once the latter is defined with respect to the appropriate units, thus providing a conceptual foundation for the classical definition. The implications of the theory are discussed, including, in particular, to risk aversion on non-liquid goods, multi-commodity risk aversion, and the understanding of insurance. The entire study is within the expected utility framework. Economics building (No. 504), room 011 אוניברסיטת בר-אילן - Department of Economics Economics.Dept@mail.biu.ac.il Asia/Jerusalem public
Place
Economics building (No. 504), room 011
Affiliation
Bar-Ilan University
Abstract

Abstract: Classically, risk aversion is equated with concavity of the utility function. In this work we explore the conceptual foundations of this definition. In accordance with neo-classical economics, we seek an ordinal definition, based on the decisions maker’s preference order, independent of numerical values. We present two such definitions, based on simple, conceptually appealing interpretations of the notion of risk-aversion. We then show that when cast in quantitative form these ordinal definitions coincide with the classical Arrow-Pratt definition once the latter is defined with respect to the appropriate units, thus providing a conceptual foundation for the classical definition. The implications of the theory are discussed, including, in particular, to risk aversion on non-liquid goods, multi-commodity risk aversion, and the understanding of insurance. The entire study is within the expected utility framework.

Attached file

Last Updated Date : 07/10/2015