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.
[AD] Arrow KJ, Debreu G, Existence of an equilibrium for a competitive economy, Econometrica, 22(3) (1954) 265–290
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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.