In panel experiments, we randomly assign units to different interventions, measuring their outcomes, and repeating the procedure in several periods. Using potential outcomes framework, define finite population dynamic causal effects that capture relative effectiveness of alternative treatment paths. For a rich class effects, provide nonparametric estimator is unbiased over randomization distrib...

This paper considers dynamic optimization problems for a class of control average meanfield stochastic large-population systems. For each agent, the state system is governed by linear mean-field differential equation with individual noise and common noise, weight coefficients in corresponding cost functional can be indefinite. The decentralized optimal strategies are characterized Hamiltonian s...

Every population game defines a vector field on the set of strategy distributions X. The projection dynamic maps each population game to a new vector field: namely, the one closest to the payoff vector field among those that never point outward from X. We investigate the geometric underpinnings of the projection dynamic, describe its basic game-theoretic properties, and establish a number of cl...

Vector-borne diseases provide unique challenges to public health because the epidemiology is so closely tied to external environmental factors such as climate, landscape, and population migration, as well as the complicated biology of vectortransmitted pathogens. In particular, this close link between the epidemiology, the environment, and pathogen biology means that the traditional view that m...