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

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  • L. Lambertini

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 both disciplines.

Suggested Citation

  • L. Lambertini, 2000. "Quantum Mechanics and Mathematical Economics are Isomorphic. John von Neumann between Physics and Economics," Working Papers 370, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:370
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    References listed on IDEAS

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    Cited by:

    1. Edward W. Piotrowski & Jan Sladkowski, "undated". "Trading by Quantum Rules - Quantum Anthropic Principle," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics.
    2. Dino Borie, 2013. "Expected utility theory with non-commutative probability theory," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 8(2), pages 295-315, October.
    3. Mukhopadhyay, Archan & Sur, Saikat & Saha, Tanay & Sadhukhan, Shubhadeep & Chakraborty, Sagar, 2024. "Repeated quantum game as a stochastic game: Effects of the shadow of the future and entanglement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).

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