Wealth Distribution, Elasticity of Substitution and Piketty: An ‘Anti-Dual’ Pasinetti Economy

This paper studies the dynamics of wealth distribution between workers and capitalists in a neoclassical growth model with differential saving rates. It shows that if capitalists are thriftier than workers and the factors elasticity of substitution is high enough to ensure endogenous growth, capitalists’ share of total wealth asymptotically tends to one. It is also proved that a tax on capital income shifts the long run distribution of wealth in workers’ favor, and that the capitalists’ share of total wealth is a decreasing function of the tax rate. The results of the paper are compared to Piketty's ‘fundamental laws’ of capitalism.