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Statistical microeconomics

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  • Baaquie, Belal E.

Abstract

A statistical generalization is made of microeconomics in the spirit of going from classical to statistical mechanics. The price and quantity of every commodity11The term commodities is used for goods and services. traded in the market, at each instant of time, is considered to be an independent random variable: all prices and quantities are considered to be stochastic processes, with the observed market prices being a random sample of the stochastic prices. The dynamics of market prices is determined by an action functional and, for concreteness, a specific model is proposed. The model can be calibrated from the unequal time correlation of the market commodity prices. A perturbation expansion for the correlation functions is defined in powers of the inverse of the total budget of the aggregate consumer and the propagator for the market prices is evaluated.

Suggested Citation

  • Baaquie, Belal E., 2013. "Statistical microeconomics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4400-4416.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4400-4416
    DOI: 10.1016/j.physa.2013.05.008
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Mauricio Contreras G, 2020. "An Application of Dirac's Interaction Picture to Option Pricing," Papers 2010.06747, arXiv.org.
    2. Baaquie, Belal Ehsan, 2019. "A statistical model of the firm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 392-411.
    3. Baaquie, Belal E. & Du, Xin & Tanputraman, Winson, 2015. "Empirical microeconomics action functionals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 19-37.
    4. Gao, Li, 2015. "Evolution of consumption distribution and model of wealth distribution in China between 1995 and 2012," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 76-86.
    5. Nasiri, S. & Bektas, E. & Jafari, G.R., 2018. "The impact of trading volume on the stock market credibility: Bohmian quantum potential approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1104-1112.
    6. Baaquie, Belal E. & Yu, Miao & Du, Xin, 2016. "Multiple commodities in statistical microeconomics: Model and market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 912-929.

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