Longevity and Companionship in an Overlapping-Generations Model

We derive a golden rule for the level of life-extending health care when the utility of the old depends not only their level of consumption but also on the number of old people alive. While previous work has emphasized the negative pecuniary externality from longevity, we derive the effect of the positive non-pecuniary externality of being able to consume with other members of one’s cohort.