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# The Econ in Econophysics

## Author

Listed:
• Anwar Shaikh

(Department of Economics, New School for Social Research)

## Abstract

Modern authors have identified a variety of striking economic patterns, most importantly those involving the distribution of incomes and profit rates. In recent times, the econophysics literature has demonstrated that bottom incomes follow an exponential distribution, top incomes follow a Pareto, profit rates display a tent-shaped distribution. This paper is concerned with the theory underlying various explanations of these phenomena. Traditional econophysics relies on energy-conserving “particle collision” models in which simulation is often used to derive a stationary distribution. Those in the Jaynesian tradition rely on entropy maximization, subject to certain constraints, to infer the final distribution. This paper argues that economic phenomena should be derived as results of explicit economic processes. For instance, the entry and exit process motivated by supply decisions of firms underlies the drift-diffusion form of wage, interest and profit rates arbitrage. These processes give rise to stationary distributions that turn out to be also entropy maximizing. In arbitrage approach, entropy maximization is a result. In the Jaynesian approaches, entropy maximization is the means.

## Suggested Citation

• Anwar Shaikh, 2019. "The Econ in Econophysics," Working Papers 1913, New School for Social Research, Department of Economics.
• Handle: RePEc:new:wpaper:1913
as

File URL: http://www.economicpolicyresearch.org/econ/2019/NSSR_WP_132019.pdf
File Function: First version, 2019
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## References listed on IDEAS

as
1. Adrian Dragulescu & Victor Yakovenko, 2002. "Probability distribution of returns in the Heston model with stochastic volatility," Quantitative Finance, Taylor & Francis Journals, vol. 2(6), pages 443-453.
2. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
3. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
4. A. Drăgulescu & V.M. Yakovenko, 2001. "Evidence for the exponential distribution of income in the USA," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(4), pages 585-589, April.
5. Christopher G. Lamoureux & H. Douglas Witte, 2002. "Empirical Analysis of the Yield Curve: The Information in the Data Viewed through the Window of Cox, Ingersoll, and Ross," Journal of Finance, American Finance Association, vol. 57(3), pages 1479-1520, June.
6. Alfarano, Simone & Milaković, Mishael & Irle, Albrecht & Kauschke, Jonas, 2012. "A statistical equilibrium model of competitive firms," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 136-149.
Full references (including those not matched with items on IDEAS)

## Citations

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Cited by:

1. Gregor Semieniuk & Victor M. Yakovenko, 2020. "Historical Evolution of Global Inequality in Carbon Emissions and Footprints versus Redistributive Scenarios," Papers 2004.00111, arXiv.org.

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### Keywords

Economics; arbitrage; econophysics; income distribution; profit distribution; statistical mechanics; Jaynes;
All these keywords.

### NEP fields

This paper has been announced in the following NEP Reports:

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