Maximum Entropy Power Laws: An Application to the Tail of Wealth Distributions

Mishael Milaković

LEM Papers Series from Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy

Abstract: tatistical equilibrium denotes the distribution of wealth that can be achieved in the largest number of ways while satisfying a first moment constraint on the rate of growth in wealth portfolios. Maximizing entropy subject to a logarithmic constraint yields a power law distribution whose characteristic exponent depends positively on the minimum wealth level, and inversely on the rate of growth and the average number of changes in the composition of wealth portfolios. Put differently, the distribution of wealth will be more unequal the faster the rate of growth in wealth and also the higher the number of turnovers.

Keywords: Wealth distribution; power laws; statistical equilibrium; maximum entropy. (search for similar items in EconPapers)
Date: 2003-12-03
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