Power laws and symmetries in a minimal model of financial market economy

@article{Ziyin2022PowerLA,
  title={Power laws and symmetries in a minimal model of financial market economy},
  author={Li Ziyin and Katsuya Ito and Kentaro Imajo and Kentaro Minami},
  journal={Physical Review Research},
  year={2022}
}
A financial market is a system resulting from the complex interaction between participants in a closed economy. We propose a minimal microscopic model of the financial market economy based on the real economy’s symmetry constraint and minimality requirement. We solve the proposed model analytically in the mean-field regime, which shows that various kinds of universal power-law-like behaviors in the financial market may depend on one another, just like the critical exponents in physics. We then… 

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