## 4,524 Citations

Expected Utility with Multiple Priors

- MathematicsISIPTA
- 2003

The interpretation is simple: facing a “non-homogeneous” set F of alternatives, a decision maker splits it into “homogeneous" subsets Fl, and acts as a standard expected utility maximizer on each of them.

An Axiomatic Approach to

- Economics
- 2020

The aim of this paper is to characterize incomplete preferences with optimism and pessimism (IPOP) over Anscombe-Aumann acts, a class of preference orders that may fail axioms that require the…

Variational representation of preferences under ambiguity

- Economics
- 2004

In the classic Anscombe and Aumann decision setting, we give necessary and sufficient conditions that guarantee the existence of a utility function u on outcomes and an ambiguity index c on the set…

Bayesian Updating for General Maxmin Expected Utility Preferences

- Economics
- 2001

A characterization of “generalized Bayesian updating” in a maxmin expected utility setting is provided. The key axioms are consequentialism and constant-act dynamic consistency. The latter requires…

Robust utility maximization, f-projections, and risk constraints

- Mathematics, Economics
- 2006

Finding payoff profiles that maximize the expected utility of an agent under some budget constraint is a key issue in financial mathematics. We characterize optimal contingent claims for an agent who…

Ambiguity Aversion, Malevolent Nature, and the Variational Representation of Preferences

- Economics
- 2004

In the classic Anscombe and Aumann decision setting, we give necessary and sufficient conditions that guarantee the existence of a utility function u on outcomes and an ambiguity index c on the set…

α-Maxmin Expected Utility with Non-Unique Prior

- Economics
- 2021

Preferences over acts have an α-Maxmin Expected Utility (α-MEU) representation if they can be represented by the functional V (f) = αmin P∈C ∫ u(f) dP + (1− α) max P∈C ∫ u(f) dP, where u is a von…

## References

SHOWING 1-10 OF 16 REFERENCES

Modeling Expert Judgments for Bayesian Updating

- Mathematics
- 1985

This paper examines how a Bayesian decision maker would update his/her probability p for the occurrence of an event A in the light of a number of expert opinions expressed as probabilities ql, ...,…

Multiple Probability Assessments by Dependent Experts

- Computer Science
- 1985

In this model the posterior density of the random variables depends on only a weighted average of the expert's means, with weights that depend on the experts' assessments of previously known quantities.

Integral representation without additivity

- Mathematics
- 1986

Let I be a norm-continuous functional on the space B of bounded Y-measurable real valued functions on a set S, where E is an algebra of subsets of S. Define a set function v on E by: v(E) equals the…

Utility theory for decision making

- Economics
- 1970

Abstract : The book presents a concise yet mathematically complete treatment of modern utility theories that covers nonprobabilistic preference theory, the von Neumann-Morgenstern expected-utility…

Calibration, sufficiency, and domination considerations for Bayesian probability assessors

- Mathematics
- 1983

Abstract DeGroot and Fienberg (1982a) recently considered various aspects of the problem of evaluating the performance of probability appraisers. After briefly reviewing their notions of calibration…

On the Reconciliation of Probability Assessments

- Mathematics
- 1979

Abstract : This paper investigates the question of how to reconcile incoherent probability assessments, i.e., assessments that are inconsistent with the laws of probability. A general model for the…

Risk, Ambiguity, and the Savage Axioms

- Art, Economics
- 1961

I. Are there uncertainties that are not risks? 643. — II. Uncertainties that are not risks, 647. — III. Why are some uncertainties not risks? — 656.

Theory of capacities

- Mathematics
- 1954

© Annales de l’institut Fourier, 1954, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions…

Statistical Decision Functions

- MathematicsNature
- 1951

Statistical Decision FunctionsBy Prof. Abraham Wald. (Wiley Publications in Statistics.) Pp. ix + 179. (New York: John Wiley and Sons, Inc.; London: Chapman and Hall, Ltd., 1950.) 40s. net.