Ideal-gas-like market models with savings: Quenched and annealed cases

We analyze the ideal-gas-like models of markets and review the different cases where a ‘savings’ factor changes the nature and shape of the distribution of wealth. These models can produce similar distribution of wealth as observed across varied economies. We present a more realistic model where the saving factor can vary over time (annealed savings) and yet produce Pareto distribution of wealth in certain cases. We discuss the relevance of such models in the context of wealth distribution, and address some recent issues in the context of these models.

[1]  J. Angle The Inequality Process as a wealth maximizing process , 2005 .

[2]  S. Solomon,et al.  NEW EVIDENCE FOR THE POWER-LAW DISTRIBUTION OF WEALTH , 1997 .

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

[4]  Mauro Gallegati,et al.  Power law tails in the Italian personal income distribution , 2004, cond-mat/0408067.

[5]  Bikas K. Chakrabarti,et al.  Econophysics and Sociophysics : Trends and Perspectives , 2006 .

[6]  Bikas K. Chakrabarti,et al.  Kinetic market models with single commodity having price fluctuations , 2006 .

[7]  K. Mellanby How Nature works , 1978, Nature.

[8]  Arnab Das,et al.  Analytic Treatment of a Trading Market Model , 2003, cond-mat/0304685.

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

[10]  B. McCarl,et al.  Economics , 1870, The Indian medical gazette.

[11]  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.

[12]  Thomas Lux,et al.  Worrying trends in econophysics , 2006 .

[13]  Juan C. Ferrero,et al.  The statistical distribution of money and the rate of money transference , 2004 .

[14]  Sitabhra Sinha Stochastic Maps, Wealth Distribution in Random Asset Exchange Models and the Marginal Utility of Relative Wealth , 2003 .

[15]  Bikas K. Chakrabarti,et al.  Econophysics of Wealth Distributions , 2005 .

[16]  Guillermo Abramson,et al.  Correlation between Risk Aversion and Wealth distribution , 2003 .

[17]  J. Marchal Cours d'economie politique , 1950 .

[18]  Bikas K. Chakrabarti,et al.  Pareto Law in a Kinetic Model of Market with Random Saving Propensity , 2004 .

[19]  B. Chakrabarti,et al.  Econophysics of Stock and other Markets , 2006 .

[20]  Generic features of the wealth distribution in ideal-gas-like markets. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  F. Slanina Inelastically scattering particles and wealth distribution in an open economy. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  J. Angle The Surplus Theory of Social Stratification and the Size Distribution of Personal Wealth , 1986 .

[23]  Kimmo Kaski,et al.  Statistical model with a standard Gamma distribution. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  B. Hayes The American Scientist , 1962, Nature.

[25]  B. Hayes,et al.  Follow the Money , 2002, American Scientist.

[26]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[27]  B. West,et al.  A Trade-Investment Model for Distribution of Wealth , 2003, cond-mat/0306579.

[28]  J. Skinner,et al.  Do the Rich Save More? , 2004, Journal of Political Economy.

[29]  Sitabhra Sinha Evidence for Power-law tail of the Wealth Distribution in India , 2006 .

[30]  Arnab Chatterjee,et al.  Master equation for a kinetic model of a trading market and its analytic solution. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  Bikas K. Chakrabarti,et al.  Money in Gas-Like Markets: Gibbs and Pareto Laws , 2003 .

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

[33]  V. Yakovenko,et al.  A study of the personal income distribution in Australia , 2006, physics/0601176.

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

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

[36]  Dynamics of Money and Income Distributions , 2004, cond-mat/0407770.