Standard consumption utility is linked in time to a consumption event, whereas the timing of prosocial utility flows is … ambiguous. Prosocial utility may depend on the actual utility consequences for others – it is consequence-dated – or it may be …-offs, existing models of other-regarding preferences abstract from the time signature of utility flows, limiting their explanatory …

utility functions. Our main result is to show that in a multiagent economy, the problem of determining efficient allocations … extending to a stochastic environment Geoffard's (1996) concept of variational utility and his result that variational utility … is equivalent to recursive utility, and then using these results to characterize allocations in a multiagent setting …

In this paper I extend the well known result that a hyperbolically discounting agent postpones costs into the future …

is more likely to occur in modern societies. Using optimal control theory we demonstrate that sustained cycles may result …