The New Palgrave Dictionary of Economics

2018 Edition
| Editors: Macmillan Publishers Ltd

Power Laws

  • Xavier Gabaix
Reference work entry
DOI: https://doi.org/10.1057/978-1-349-95189-5_2342

Abstract

A power law is the form taken by a remarkable number of regularities in economics, and is a relation of the type Y = kXα, where Y and X are variables of interest, α is called the power law exponent, and k is a constant. Many economic laws take the form of power laws, in particular macroeconomic scaling laws, the distribution of income, wealth, size of cities and firms, and the distribution of financial variables such as returns and trading volume. This article surveys the empirical evidence and the theoretical explanations for the occurrence of power laws.

Keywords

Cities GARCH effects Gibrat’s law Matching Networks Pareto laws Power laws Proportional random growth Quantity theory of money Scaling laws Stock market volatility Stylized facts Superstars, economics of Trading volume Universality Urban economics Zipf’s law 
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Copyright information

© Macmillan Publishers Ltd. 2018

Authors and Affiliations

  • Xavier Gabaix
    • 1
  1. 1.