Anscombe and Aumann (1963) offer a definition of subjective probability in terms of comparisons with objective probabilities. That definition - which has provided the basis for much of the succeeding work on subjective probability - presumes that the subjective probability of an event is...

Is an assumption of bounded rationality needed to explain Social Security and other mandatory pension plans? In this contribution we argue that when rational agents hold inconsistent expectations such programs may be justified. Two of the features that distinguish Social Security and many other...

The prospect theory is one of the most popular decision-making theories. It is based on the S-shaped utility function, unlike the von Neumann and Morgenstern (NM) theory, which is based on the concave utility function. The S-shape brings in mathematical challenges: simple extensions and...

Motivated by individuals' emotional response to risk at different time horizons, we model an 'anxious' agent - one who is more risk averse with respect to imminent risks than distant risks. Such preferences describe well-documented features of 1) individual behavior, 2) equilibrium prices, and...

We define asset manager career risk as the risk that asset owners terminate an existing manager due to an extended period of underperformance relative to a benchmark or peer group even though the manager has skill (defined here as positive information ratio). We show that myopic loss aversion...

We give a full characterization of the continuation and stopping regions of optimal stopping of diffusions. We consider separately the case of a naive agent who is unaware of the possible time inconsistency in her behavior and the case of a sophisticated agent who is fully aware of such an...

How does an individual's position within a social distribution influence their desire to take risk? Reference-dependent loss aversion (Kahneman and Tversky, 1979; Koszegi and Rabin, 2006, 2007) adapted to a social setting, suggests that individuals may find risk more appealing when they are doing...

We model an ‘anxious' agent as one who is more risk averse with respect to imminent risks than with respect to distant risks. Based on a utility function that captures individual subjects' behavior in experiments, we provide a tractable theory relaxing the restriction of constant risk aversion...

The prospect theory is one of the most popular decision-making theories. It is based on the S-shaped utility function, unlike the von Neumann and Morgenstern (NM) theory, which is based on the concave utility function. The S-shape brings in mathematical challenges: simple extensions and...

We derive a simplified version of the model of Fudenberg and Levine [2006, 2011] and show how this approximate model is useful in explaining choice under risk. We show that in the simple case of three outcomes, the model can generate indifference curves that “fan out” in the Marshack-Machina...