Correlation between Risk Aversion and Wealth distribution

Different models of capital exchange among economic agents have been recently proposed trying to explain the emergence of Pareto's wealth power-law distribution. One important factor to be considered is the existence of risk aversion. In this paper, we study a model where agents possess different levels of risk aversion, going from a uniform to a random distribution. In all cases the risk aversion level for a given agent is constant during the simulation. While for uniform and constant risk aversion the system self-organizes in a distribution that goes from an unfair “one takes all” distribution to a Gaussian one, a random risk aversion can produce distributions going from exponential to log-normal and power-law. Besides, interesting correlations between wealth and risk aversion are found.

[1]  Victor M. Yakovenko,et al.  Statistical mechanics of money , 2000 .

[2]  Guillermo Abramson,et al.  Wealth redistribution in our small world , 2003 .

[3]  Guillermo Abramson,et al.  Wealth redistribution with conservative exchanges , 2003 .

[4]  V. Pareto,et al.  Vilfredo Pareto. Cours d’Économie Politique , 1897 .

[5]  Bak,et al.  Punctuated equilibrium and criticality in a simple model of evolution. , 1993, Physical review letters.

[6]  Victor M. Yakovenko,et al.  Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States , 2001, cond-mat/0103544.

[7]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality , 1998 .

[8]  Yoshi Fujiwara,et al.  Growth and fluctuations of personal income , 2002 .

[9]  S. Redner,et al.  Wealth distributions in asset exchange models , 1998, 1006.4595.

[10]  Sorin Solomon,et al.  Stable power laws in variable economies; Lotka-Volterra implies Pareto-Zipf , 2002 .

[11]  Charles Gide,et al.  Cours d'économie politique , 1911 .

[12]  Yoshi Fujiwara,et al.  Growth and fluctuations of personal and company's income , 2003 .

[13]  The Rich Are Different ! Pareto Law from Asymmetric Interactions in Asset Exchange Models , 2005, physics/0504197.

[14]  J. Rawls,et al.  A Theory of Justice , 1971, Princeton Readings in Political Thought.

[15]  M. Mézard,et al.  Wealth condensation in a simple model of economy , 2000, cond-mat/0002374.

[16]  Bikas K. Chakrabarti,et al.  Statistical mechanics of money: how saving propensity affects its distribution , 2000, cond-mat/0004256.

[17]  W. Souma UNIVERSAL STRUCTURE OF THE PERSONAL INCOME DISTRIBUTION , 2000, cond-mat/0011373.

[18]  V. Yakovenko,et al.  Evidence for the exponential distribution of income in the USA , 2001 .