Related Experiment Video
Updated: Apr 29, 2026

Measuring the Subjective Value of Risky and Ambiguous Options using Experimental Economics and Functional MRI Methods
Published on: September 19, 2012
S-shaped Utility Maximization with VaR Constraint and Partial Information
Dongmei Zhu1, Ashley Davey2, Harry Zheng2
1School of Economics and Management, Southeast University, Nangjing, China.
Abstract:
We study S-shaped utility maximisation with VaR constraint and unobservable drift coefficient. Using the Bayesian filter, the concavification principle, and the change of measure, we give a semi-closed integral representation for the dual value function and find a critical wealth level that determines if the constrained problem admits a unique optimal solution and Lagrange multiplier or is infeasible. We also propose three algorithms (Lagrange, simulation, deep neural network) to solve the problem and compare their performances with numerical examples.
Related Concept Videos
Decision Making: P-value Method
First, a specific claim about the population parameter is proposed. The claim is based on the research question and is stated in a simple form. Further, an opposing statement to the claim is also stated. These statements can act as null and alternative hypotheses: a null hypothesis would be a neutral statement while the alternative hypothesis can...
Design Example: Analyzing Capacity Contours for Flood Risk Assessment
Expected Value
Uncertainty: Confidence Intervals
Actuarial Approach
Consider the example of a high-risk surgical procedure with significant early-stage mortality. A two-year clinical study is conducted,...
Propagation of Uncertainty from Random Error
