The most widely used economic models of social preferences are specified only for certain outcomes. There are two obvious methods of extending them to lotteries. If we do so by expected utility theory, so that the independence axiom is satisfied, our results imply that the resulting preferences...

We characterize two sorts of stochastic choice rules in which the agent makes current decisions using a forward-looking value function that takes future randomizations into account. Both sorts of rules generalize logistic choice, and are equivalent to it in static problems. The rules differ in...

We extend the dual-self model to include altruistic preferences. This explains (1) why people may have preferences for equality in the laboratory but not in the field, (2) why intermediate donations may occur in dictator games, (3) why cognitive load and time pressure may increase giving, and...