Abstract
It is known that asset exchange models with symmetric interaction between agents show either a Gibbs/log-normal distribution of assets among the agents or condensation of the entire wealth in the hands of a single agent, depending upon the rules of exchange. Here we explore the effects of introducing asymmetry in the interaction between agents with different amounts of wealth (i.e., the rich behave differently from the poor). This can be implemented in several ways: e.g., (1) in the net amount of wealth that is transferred from one agent to another during an exchange interaction, or (2) the probability of gaining vs. losing a net amount of wealth from an exchange interaction. We propose that, in general, the introduction of asymmetry leads to Pareto-like power law distribution of wealth.
Fitzgerald: The rich are different from you and me Hemingway: Yes, they have more money
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References
Persky J (1992) Pareto’s Law, J. Economic Perspectives 6: 181–192
Pareto V (1897) Cours d’Economique Politique, vol 2. Macmillan, London
Fujiwara Y, Souma W, Aoyama H, Kaizoji T, Aoki M (2003) Growth and fluctuations of personal income, Physica A 321: 598–604
Souma W (2001) Universal structure of the personal income distribution, Fractals 9: 463–470
Drăgulescu A, Yakovenko V M (2000) Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States, Physica A 299: 213–221
Sinha S (2005) Evidence for power-law tail of the wealth distribution in India, cond-mat/0502166
http://www.business-standard.com/
Shirras G F (1935) The Pareto Law and the distribution of income, Econ. J. 45: 663–681
Ispolatov S, Krapivsky P L, Redner S (1998) Wealth distributions in asset exchange models, Eur. Phys. J. B 2: 267–276
Chakraborti A, Chakrabarti B K (2000) Statistical mechanics of money: How saving propensity affects its distribution, Eur. Phys. J. B 17: 167–170
Drăgulescu A, Yakovenko V M (2000) Statistical mechanics of money, Eur. Phys. J. B 17: 723–729
Sinha S (2003) Stochastic maps, wealth distribution in random asset exchange models and the marginal utility of relative wealth, Physica Scripta T 106: 59–64
Chatterjee A, Chakrabarti B K, Manna S S (2004) Pareto law in a kinetic model of market with random saving propensity, Physica A 335: 155–163
Dynan K E, Skinner J, Zeldes S P (2004) Do the rich save more ?, J. Pol. Econ. 112: 397–444
Samuelson P A, Nordhaus W D (2001) Economics (17th Edition). McGraw Hill, New York
Ding N, Wang Y, Xu J, Xi N (2003) Power-law distributions in circulating money: Effect of preferential behavior, Int. J. Mod. Phys. B 18: 2725–2729
Iglesias J R, Goncalves S, Abramson G, Vega J L (2004) Correlation between risk aversion and wealth distribution, Physica A 342: 186–192
DiMatteo T, Aste T, Hyde S T (2004) Exchanges in complex networks: income and wealth distributions. In: Mallamace F, Stanley H E (eds) The Physics of Complex Systems (New Advances and Perspectives). IOS Press, Amsterdam
Bhattacharya K, Mukherjee G, Manna S S (2005) Continuously tunable Pareto exponent in a random shuffling money exchange model, this Proceedings volume
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Sinha, S. (2005). The Rich Are Different ! Pareto Law from Asymmetric Interactions in Asset Exchange Models. In: Chatterjee, A., Yarlagadda, S., Chakrabarti, B.K. (eds) Econophysics of Wealth Distributions. New Economic Windows. Springer, Milano. https://doi.org/10.1007/88-470-0389-X_18
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DOI: https://doi.org/10.1007/88-470-0389-X_18
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