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Working Paper

The Piketty Transition

We study the effects on inequality of a "Piketty transition" to zero growth. In a model with a worker-capitalist dichotomy, we show that the relationship between inequality (measured as a ratio of incomes for the two types) and growth is complicated; zero growth can raise or lower inequality, depending on parameters. In particular, the elasticity of substitution between capital and labor in production needs to be considerably greater than 1 in order for income inequality be higher with zero growth; furthermore, the inequality effects operate through labor supply when the elasticity is high, rather than through r - g. Extending our model to include idiosyncratic wage risk we show that growth has quantitatively negligible effects on inequality, and furthermore the effect is negative rather than positive. Modifications designed to mitigate the decline in returns (such as financial development or capital-biased technical change) along the transition either strengthen or do not affect our conclusions.

Working Papers of the Federal Reserve Bank of Cleveland are preliminary materials circulated to stimulate discussion and critical comment on research in progress. They may not have been subject to the formal editorial review accorded official Federal Reserve Bank of Cleveland publications. The views expressed in this paper are those of the authors and do not represent the views of the Federal Reserve Bank of Cleveland or the Federal Reserve System.

Suggested Citation

Carroll, Daniel R., and Eric R. Young. 2014. “The Piketty Transition.” Federal Reserve Bank of Cleveland, Working Paper No. 14-32.