Precautionary principle as a rule of choice with optimism on windfall gains and pessimism on catastrophic losses

The paper investigates a decision-making process involving both risk and ambiguity. Differently from existing papers Basili, M., Chateauneuf, A., Fontini, F., 2005. Choices under ambiguity with familiar and unfamiliar outcomes, Theory and Decision 58, 195-207; Chichilnisky, G., 2000. Axiomatic approach to choice under uncertainty with catastrophic risks. Resources and Energy Economics 22, 221-231; Chichilnisky, G., 2002. In: El-Shaarawi, A.,H., Piegorsch, W.W. (Eds.), Catastropic Risks. Encyclopedia of Environmetrics, vol. 1. John Wiley & Sons, Ltd, Chichester, UK, pp. 274-279], we assume that, in a Choquet Expected Utility framework, the decision-maker is pessimistic with respect to unfamiliar (catastrophic) losses, optimistic with respect to unfamiliar (windfall) gains and ambiguity-neutral with respect to the familiar world. A representation of the decision-maker's choice is obtained that mimics the Restricted Bayes-Hurwicz Criterion. In this way a characterization of the Precautionary Principle is introduced for decision-making processes under ambiguity with catastrophic losses and/or windfall gains.