We examine the investment decision problem of a group whose members have heterogeneous time preferences. In particular, they have different discount factors for utility, possibly not exponential. We characterize the properties of efficient allocations of resources and of shadow prices that would...

In this paper, we compare the attitude towards current risk of two expected-utility-maximizing investors that are identical except that the first investor will live longer than the" second one. In one of the models under consideration, there are two assets at every period. The" first asset has a...

Human beings want to believe that good outcomes in the future are more likely, but also want to make good decisions that increase average outcomes in the future. We consider a general equilibrium model with complete markets and show that when investors hold beliefs that optimally balance these...