We study the design of pension benefits for male and female workers. Women live longer than men but have a lower wage. Individuals can be single or live in couples who pool their incomes. Social welfare is utilitarian but an increasing concave transformation of individuals’ lifetime utilities...

We study the impact of endogenous longevity on optimal tax progressivity and inequality in an overlapping generations model with skill heterogeneity. Higher tax progressivity decreases both the longevity gap and net income inequality, but at the expense of lower average lifetime and lower...

This paper introduces the probabilistic formulation of continuous-time economic models: forward stochastic differential equations (SDE) govern the dynamics of backward-looking variables, and backward SDEs capture that of forward-looking variables. Deep learning streamlines the search for the...

We investigate how an artist's death impacts on the price of her artwork by estimating individual death effects of a sample of famous visual artists who died between 1985 and 2010. Using data from art auctions that took place in a narrow window around the artists' death, we apply various...

There are two types of prescription drug cost offsets. The first type of cost offset—from prescription drug use—is primarily about the effect of changes in drug quantity (e.g. due to changes in out-of-pocket drug costs) on other medical costs. The second type of cost offset—the cost offset...