Assuming scale-invariance and a few aggregate axioms, an exchange economy has an entropy that never decreases when economies interact, giving temperature-driven money flow and entropy-based prices.
[LY99] Lieb EH, Yngvason J, The physics and mathematics of the second law of thermodynamics, Phys Rpts 310 (1999) 1–96
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Thermal Macroeconomics: An axiomatic theory of aggregate economic phenomena
Assuming scale-invariance and a few aggregate axioms, an exchange economy has an entropy that never decreases when economies interact, giving temperature-driven money flow and entropy-based prices.