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University of Massachusetts Amherst

Economics Department Working Paper Series

2006

Inequality

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Relative Advantage, Queue Jumping, And Welfare Maximizing Weath Distribution, Alex Coram, Lyle Noakes Jan 2006

Relative Advantage, Queue Jumping, And Welfare Maximizing Weath Distribution, Alex Coram, Lyle Noakes

Economics Department Working Paper Series

Suppose individuals get utilities from the total amount of wealth they hold and from their wealth relative to those immediately below them. This paper studies the distribution of wealth that maximizes an additive welfare function made up of these utilities. It interprets wealth distribution in a control theory framework to show that the welfare maximizing distribution may have unexpected properties. In some circumstances it requires that inequality be maximized at the poorest and richest ends of the distribution. In other circumstances it requires that all wealth be given to a single individual.