Conditioning under Cumulative Prospect Theory

Online appendix for Conditioning and Updating under Cumulative Prospect Theory

Explaining Heterogeneity in Risk Preferences Using a Finite Mixture Model

This paper studies the effect of the space (distance) between lotteries' outcomes on risk-taking behavior and the shape of estimated utility and probability weighting functions. Previously investigated experimental data shows a significant space effect in the gain domain. As compared to low spaced lotteries, high spaced lotteries are associated with higher risk aversion for high probabilities o...

Conditioning and Updating under Cumulative Prospect Theory

Under expected utility theory, unconditional expected utility can be decomposed into a weighted sum of conditional expected utilities where the weights are marginal probabilities. We derive necessary and sufficient conditions for a similar decomposition in the framework of Cumulative Prospect Theory (CPT). The conditions also ensure that a decision maker’s conditional preferences (given some ev...

Stochastic Models for Assets Allocation under the Framework of Prospect and Cumulative Prospect Theory

This paper examines the problem of choosing the optimal portfolio for an investor with asymmetric attitude to gains and losses described in the prospect theory of A. Tversky and D. Kahneman. We consider the portfolio optimization problem for an investor who follows the assumptions of the prospect theory and the cumulative prospect theory under conditions on the stochastic behavior both of the p...

Composition Rules in Old and New Prospect Theory†

Original and cumulative prospect theory differ in the composition rule used to combine the probability weighting function and the value function. We test these composition rules by performing a novel test. We apply estimates of prospect theory’s weighting and value function obtained from two-outcome cash equivalents, a domain where original and cumulative prospect theory coincide, to three-outc...