Inequality and catching-up under decreasing marginal impatience

This paper examines how endogenous time preference interacts with inequalities in economic development. We consider two distinct groups of households with intrinsic inequality (e.g., capitalists and workers), and show that (i) under decreasing marginal impatience (DMI), an unequal society may be preferable for poor households than an egalitarian one in which every household owns an equal share of asset; (ii) poor households tend to benefit more under DMI than CMI (constant marginal impatience) from positive shocks; (iii) inequality exhibits a sharp inverted-U shape as more people become rich, which should be good news for developing countries in catching up; and (iv) a tax on capital income reduces poor households’ income when the fraction of the rich is sufficiently small. We also examine immigration and discuss capital mobility.