Extending spin market models to realistic scenarios

R. Borrasca Neto, B. J. Becker and C. R. Da Cunha
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R. Borrasca Neto: Instituto de Física, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, 91501-970 Brazil
B. J. Becker: Instituto de Física, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, 91501-970 Brazil
C. R. Da Cunha: Instituto de Física, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, 91501-970 Brazil

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 08, 1-13

Abstract: We study an extension of the Bornholdt spin-market model using configurable network topology. The distribution of returns was studied using the probability plot correlation coefficient and indicates three different behaviors for the tails of the distribution of returns. The price volatility was studied by fitting the magnetization with a Wiener process and a power-law behavior was found for the volatility as a function of the levels of randomness and connectivity of the network. Both parameters have opposing effects on the risk as inferred from the Shannon entropy of the magnetization. Also, we show that trading can spatially auto-organize depending on the conditions of the control space. Finally, we show that there is a range of values of the control space that renders a model that reproduces real-market data.

Keywords: Econophysics; Ising model; Watts–Strogatz network; small-world network; Bornholdt model (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122501017

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