Risk and time are intertwined. The present is known while the future is inherently risky. Discounted expected utility provides a simple, coherent structure for analyzing decisions in intertemporal, uncertain environments. However, we document robust violations of discounted expected utility,...

We formulate a general theory of preferences over outcome-time-probability triplets and decompose uncertainty into risk and hazard. We define the delay, defer, shift and certainty functions that can be uniquely elicited from behaviour. These individually determine stationarity, the common...

We study the problem of elicitation of subjective beliefs of an agent when the beliefs are ambiguous (the set of beliefs is a non-singleton set) and the agent's preference exhibits ambiguity aversion; in particular, as represented by alpha-maxmin preferences. We construct a direct revelation...

Probabilistic preference models predict that a subject makes different choices with different probabilities in repeatedly experiments with the same stimuli. This paper explains why. First, we prove that a gamble is a statistical ensemble or sample function of a random field with canonical...

Risk and time are intertwined. The present is known while the future is inherently risky. Discounted expected utility provides a simple, coherent structure for analyzing decisions in intertemporal, uncertain environments. However, we document robust violations of discounted expected utility,...

Using a revealed preference approach, we conduct an experiment where subjects make choices from linear convex budgets in the domain of risk. We find that many individuals prefer mixtures of lotteries in ways that systematically rule out expected utility behavior. We explore the extent to which...