My dissertation consists of three essays. The first essay proposes a theory on the dynamics of productivity dispersion. In response to a negative profit shock, the leading firm responds by increasing R&D effort to recover the lost profit, while the laggard firm responds by reducing R&D effort because a lowered profit means a smaller return to innovation. Such heterogeneous R&D responses explain the observed countercyclical productivity dispersion. The second essay engages in an empirical study confirming the theory in the previous essay. Parametric and semi-parametric reduced-form regressions both exhibit heterogeneous responses in firms’ R&D intensity to the negative profit shock as suggested by my theory. A structural estimation of the mo...