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

  • L. Lambertini

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.

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File URL: http://amsacta.unibo.it/4939/1/370.pdf
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Paper provided by Dipartimento Scienze Economiche, Universita' di Bologna in its series Working Papers with number 370.

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Date of creation: 2000
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Handle: RePEc:bol:bodewp:370
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  1. R. Myerson., 2010. "Nash Equilibrium and the History of Economic Theory," VOPROSY ECONOMIKI, N.P. Redaktsiya zhurnala "Voprosy Economiki", vol. 6.
  2. Robert J. Leonard, 1995. "From Parlor Games to Social Science: Von Neumann, Morgenstern, and the Creation of Game Theory, 1928-1994," Journal of Economic Literature, American Economic Association, vol. 33(2), pages 730-761, June.
  3. Peter Fishburn & Peter Wakker, 1995. "The Invention of the Independence Condition for Preferences," Management Science, INFORMS, vol. 41(7), pages 1130-1144, July.
  4. Paul Klemperer & Margaret Meyer, 1986. "Price Competition vs. Quantity Competition: The Role of Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 618-638, Winter.
  5. van Damme, Eric & Weibull, Jorgen W, 1995. " Equilibrium in Strategic Interaction: The Contributions of John C. Harsanyi, John F. Nash and Reinhard Selten," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(1), pages 15-40, March.
  6. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, Oxford University Press, vol. 84(3), pages 488-500.
  7. Leland, Hayne E, 1972. "Theory of the Firm Facing Uncertain Demand," American Economic Review, American Economic Association, vol. 62(3), pages 278-91, June.
  8. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November.
  9. Robert J. Leonard, 1992. "Reading Cournot, Reading Nash / or / The Emergence and Stabilization of the Nash equilibrium," Cahiers de recherche du Département des sciences économiques, UQAM 9214, Université du Québec à Montréal, Département des sciences économiques.
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