Quantum Mechanics and Mathematical Economics are Isomorphic. John von Neumann between Physics and Economics

Abstract

A methodological discussion is proposed, aiming at showing that game theory in particular (and mathematical economics in general) and quantum mechanics are isomorphic. This result relies on the equivalence of the two fundamental operators employed in the two fields, namely, the expected value in economics and the density matrix in quantum physics. This coincidence can be traced back to the contributions of von Neumann in bot disciplines.