# The Dual Theory of Choice under Risk

@article{Yaari1987TheDT, title={The Dual Theory of Choice under Risk}, author={Menahem E. Yaari}, journal={Econometrica}, year={1987}, volume={55}, pages={95-115} }

This paper investigates the consequences of the following modification of Expected Utility theory: instead of requiring independence with respect to probability mixtures of risky prospects, require independence with respect to direct mixing of payments o f risky prospects. A new theory of choice under risk- a so-called Dual theory-is obtained. Within this new theory, the following questions are considered: (1) numerical representation of preferences; (2) properties of the utility function; ( 3…

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## References

SHOWING 1-10 OF 27 REFERENCES

### Risk Aversion in Quiggin and Yaari's Rank-Order Model of Choice under Uncertainty

- Economics
- 1987

This paper studies the rank-dependent model of choice under uncertainty proposed by J. Quiggin in 1982 and elaborated by M. E. Yaari in 1984. First, a rigorous axiomatic foundation for the model is…

### Prospect theory: analysis of decision under risk

- Economics
- 1979

Analysis of decision making under risk has been dominated by expected utility theory, which generally accounts for people's actions. Presents a critique of expected utility theory as a descriptive…

### Liquidity Preference as Behavior towards Risk

- Economics
- 1958

One of basic functional relationships in the Keynesian model of the economy is the liquidity preference schedule, an inverse relationship between the demand for cash balances and the rate of…

### Subjective Probability and Expected Utility without Additivity

- Economics
- 1989

An act maps states of nature to outcomes: deterministic outcomes, as well as random outcomes, are included. Two acts f and g are comonotonic, by definition, if it never happens that f(s) > f(t) and…

### Comparison of Experiments

- Mathematics
- 1951

1. Summary Bohnenblust, Shapley, and Sherman [2] have introduced a method of comparing two sampling procedures or experiments; essentially their concept is that one experiment a is more informative…

### AN AXIOMATIC APPROACH TO MEASURABLE UTILITY

- Economics
- 1953

Abstract : Previous treatments of this approach brought topological considerations of the prospects space into the axioms. In this paper considerations of the topology of the prospect space itself…

### Prospect theory: An analysis of decision under risk Econometrica 47

- Engineering
- 1979

A lubricator valve apparatus adapted for use when running wireline tools into an offshore well during a production test of the well. The valve includes a valve body having a central flow passage and…