# Double-Exponential Utility Functions

@article{Bell1986DoubleExponentialUF, title={Double-Exponential Utility Functions}, author={David E. Bell}, journal={Math. Oper. Res.}, year={1986}, volume={11}, pages={351-361} }

Ordinal additivity between two attributes X and Y is a property that permits the utility function ux, y to be represented as φvx + wy for some functions φ, v and w where φ may be thought of as a single attribute utility function over v + w. In applications φ is usually taken to be either linear the additive decomposition or exponential the multiplicative decomposition. The utility function can be shown to be exactly one of these forms whenever the two attributes are mutually utility independent…

## 8 Citations

### One-Switch Conditions for Multiattribute Utility Functions

- EconomicsOper. Res.
- 2012

A variety of new independence conditions for multiattribute utility functions that permit preference dependencies among the attributes of a decision problem are introduced, based on the idea of limiting the number of switches that a decision maker may make between two decision alternatives as a parameter of the problem varies.

### Multiplicative Utilities for Health and Consumption

- EconomicsDecis. Anal.
- 2012

Two multiplicative utility forms from basic conditions are developed that can express risk aversion, decreasing absolute risk aversion and increasing relative risk aversion in life duration and the properties of this reduced form under correlation seekingness are examined and discussed.

### Scalarized Preferences in Multi-objective Optimization

- Political Science
- 2018

Multikriterielle Optimierungsprobleme verfugen uber keine Losung, die optimal in jeder Zielfunktion ist. Die Schwierigkeit solcher Probleme liegt darin eine Kompromisslosung zu finden, die den…

### METHODS — One-Switch Conditions for Multiattribute Utility Functions

- Economics
- 2015

Full terms and conditions of use:

### Capital Asset Pricing Model Based on a Generalized Economic Index of Riskiness∗

- Economics
- 2016

This paper establishes a generalized economic index of riskiness which includes the risk measures proposed by Aumann and Serrano (2008), Foster and Hart (2009) and Bali et al. (2011) as special…

### Structured prescriptive models of risk attitudes

- Economics
- 1990

This paper discusses conditions on risk attitudes that imply special types of expected-utility functions. First, conditions are described that correspond to different choices of an arithmetic…

### Constant Exchange Risk Properties

- Mathematics, EconomicsOper. Res.
- 1987

This paper develops a methodology using risk properties to characterize the functional form of a utility measure for decision making under uncertainty that allows analysts to distinguish beforehand between alternative forms and thus properly specify the utility function in applications.

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This work defines the concept of parametric dependence of preferences for multiattributed consequences and shows the usefulness of this concept for the assessment of multiattribute utility functions by proving several representation theorems that simplify the assessment problem whenparametric dependence holds.

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This paper considers the assessment of von Neumann-Morgenstern utility functions u defined on two attributes from the viewpoint of mathematical approximation theory. It focuses on approximations v of…