Score contribution per author:
α: calibrated so average coauthorship-adjusted count equals average raw count
This paper examines the Ak endogenous growth model with naïve and sophisticated agents under hyperbolic discounting. The utility function is isoelastic, with an intertemporal elasticity of substitution less than one. We derive a simple condition to verify that the effective rate of time preference is lower — and, consequently, the growth rate is higher — when agents are sophisticated rather than naïve. An extensive numerical analysis suggests that this condition holds across the entire feasible parameter space.