Score contribution per author:
α: calibrated so average coauthorship-adjusted count equals average raw count
This paper analyzes the problem of computing the social optimum in models with heterogeneous agents subject to idiosyncratic shocks. This is equivalent to a deterministic optimal control problem in which the state variable is the infinite-dimensional cross-sectional distribution. We show how, in continuous time, the problem can be broken down into two finite-dimensional partial differential equations: a dynamic programming equation and the law of motion of the distribution, and we introduce