Interactions inequality-polarization: an impossibility result
Juan Prieto Rodríguez
Juan Gabriel Rodríguez
Recent literature stresses the multidimensional nature of income distribution. Two of the most relevant components are inequality and polarization. In this paper, we prove the impossibility of keeping simultaneously constant these two aspects whenever the distribution of incomes changes. Distributional change could originate from any economic policy or simply from economic growth. Hence, our result implies an effective restriction for policymakers that they cannot avoid and should not ignore. Our proof embodies a general view of polarization that includes the Wolfson and the Esteban and Ray approaches. The paper also develops other links for the case of controlling only one variable and deducing the implications for the other variable.
In order to set up a list of libraries that you have access to,
you must first login
or sign up.
Then set up a personal list of libraries from your profile page by
clicking on your user name at the top right of any screen.