In economics, the prevailing framework to explain preferences under uncerta- inty is the Expected Utility theory. Despite its widespread use, the Expected Utility theory is not free from problems. Experimental and empirical works shows that, in real life, the choices of individuals among risky...

We study axiomatically the problem of obtaining an expected utility representation for a potentially incomplete preference relation over lotteries by means of a set of von Neumann-Morgenstern utility functions. It is shown that, when the prize space is a compact metric space, a preference...

We study axiomatically the problem of obtaining an expected utility representation for a potentially incomplete preference relation over lotteries by means of a set of von Neumann-Morgenstern utility functions. It is shown that, when the prize space is a compact metric space, a preference...

Most theories of risky choice postulate that a decision maker maximizes the expectation of a Bernoulli (or utility or similar) function. We tour 60 years of empirical search and conclude that no such functions have yet been found that are useful for out-of-sample prediction. Nor do we find...

I characterize the class of (possibly incomplete) preference relations over lotteries which can be represented by a compact set of (continuous) expected utility functions that preserve both indifferences and strict preferences. This finding contrasts with the representation theorem of Dubra,...

Consider a finite data set where each observation consists of a bundle of contingent consumption chosen from a constraint set of contingent consumption bundles. We develop a general procedure for testing the consistency of such a data set with a broad class of models of choice under risk or...

Given the possibility to modify the probability of a loss, will a profit-maximizing insurer engage in loss prevention or is it in his interest to increase the loss probability? This paper investigates this question. First, we calculate the expected profit maximizing loss probability within an...

We study axiomatically the problem of obtaining an expected utility representation for a potentially incomplete preference relation over lotteries by means of a set of von Neumann-Morgenstern utility functions. It is shown that, when the prize space is a compact metric space, a preference...

Building on the Herstein-Milnor mixture set axiomatization of expected utility theory, we employ multiple mixture operators each modeling a source of uncertainty to arrive at a definition of rich mixture sets. This enables a weakening of the reduction of compound lottery axiom leading to an...