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Modelling trading networks and the role of trust. (English) Zbl 1400.91449

Summary: We present a simple dynamical model for describing trading interactions between agents in a social network by considering only two dynamical variables, namely money and goods or services, that are assumed conserved over the whole time span of the agents’ trading transactions. A key feature of the model is that agent-to-agent transactions are governed by the price in units of money per goods, which is dynamically changing, and by a trust variable, which is related to the trading history of each agent. All agents are able to sell or buy, and the decision to do either has to do with the level of trust the buyer has in the seller, the price of the goods and the amount of money and goods at the disposal of the buyer. Here we show the results of extensive numerical calculations under various initial conditions in a random network of agents and compare the results with the available related data. In most cases the agreement between the model results and real data turns out to be fairly good, which allow us to draw some general conclusions as how different trading strategies could affect the distribution of wealth in different kinds of societies. Our calculations reveal the striking effects of trust in commercial relations, namely that trust makes trading links more robust and the wealth distribution more even as well as allows for the existence of a healthy middle class.

MSC:

91D30 Social networks; opinion dynamics
91B64 Macroeconomic theory (monetary models, models of taxation)
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[1] (Gambetta, D., Trust: Making and Breaking Cooperative Relations (1988), Oxford University Press)
[2] Dunbar, R., How Many Friends Does One Person Need? Dunbar’s Number and Other Evolutionary Quirks (2010), Faber and Faber
[3] Sinha, S., Stochastic maps, wealth distribution in random asset exchange models and the marginal utility of relative wealth, Phys. Scr. T, 106, 59 (2003) · Zbl 1129.91314
[4] Berman, Y.; Shapira, Y.; Ben-Jacob, E., Modeling the origin and possible control of the wealth inequality surge, PLoS One, 10, 6, e0130181 (2015)
[5] Chatterjee, A.; Chakrabarti, B. K., Kinetic exchange models for income and wealth distributions, Eur. Phys. J. B, 60, 135-149 (2007)
[6] Wang, Y.; Qiu, H., The velocity of money in a life-cycle model, Physica A, 353, 493-500 (2005)
[7] Chakraborti, A.; Challet, D.; Chatterjee, A.; Marsili, M.; Zhang, Y.; Chakrabarti, B. K., Statistical mechanics of competitive resource allocation using agent-based models, Phys. Rep., 552, 1-25 (2015)
[8] Sornette, D., Physics and financial economics (1776-2014): puzzles, Ising and agent-based models, Rep. Progr. Phys., 77, 6, Article 062001 pp. (2014)
[9] Yuqing, H., Income distribution: Boltzmann analysis and its extension, Physica A, 377, 230 (2007)
[10] Sornette, D., Critical market crashes, Phys. Rep., 1, 378, 1-98 (2003) · Zbl 1011.91036
[11] Norton, M. I.; Ariely, D., Building a better America-one wealth quintile at a time, Perspect. Psychol. Sci., 6, 1 (2011)
[12] Nations Encyclopedia, Denmark - Poverty and wealth. http://www.nationsencyclopedia.com/economies/Europe/Denmark-POVERTY-AND-WEALTH.html; Nations Encyclopedia, Denmark - Poverty and wealth. http://www.nationsencyclopedia.com/economies/Europe/Denmark-POVERTY-AND-WEALTH.html
[13] G.W. Domhoff, Wealth, Income, and Power UC-Santa Barbara Sociology Department. http://www2.ucsc.edu/whorulesamerica/power/wealth.html; G.W. Domhoff, Wealth, Income, and Power UC-Santa Barbara Sociology Department. http://www2.ucsc.edu/whorulesamerica/power/wealth.html
[14] Inoue, J.; Ghosh, A.; Chatterjee, A.; Chakrabarti, B. K., Measuring social inequality with quantitative methodology: Analytical estimates and empirical data analysis by Gini and indices, Physica A, 429, 1, 184-204 (2015) · Zbl 1400.91408
[15] The world top income database. http://topincomes.parisschoolofeconomics.eu/; The world top income database. http://topincomes.parisschoolofeconomics.eu/
[16] GasBuddy.com. http://www.gasbuddy.com; GasBuddy.com. http://www.gasbuddy.com
[17] Gallegati, M.; Keen, S.; Lux, T.; Ormerod, P., Worrying trends in econophysics, Physica A, 370, 1, 1-6 (2006)
[18] Arthur, W. B., Out-of-equilibrium economics and agent-based modeling, (Handbook of Computational Economics, Vol. 2 (2006), Elsevier), 1551-1564
[19] Stiglitz, J. E., Distribution of income and wealth Among individuals, Econometrica, 37, 382-397 (1969)
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