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John von Neumann between Physics and Economics: A Methodological Note

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  • Luca Lambertini

    ()
    (Department of Economics, University of Bologna, Italy)

Abstract

A methodological discussion is proposed, aiming at illustrating an analogy between game theory in particular (and mathematical economics in general) and quantum mechanics. This analogy 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. I conjecture that this coincidence can be traced back to the contributions of von Neumann in both disciplines.

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Paper provided by The Rimini Centre for Economic Analysis in its series Working Paper Series with number 40_13.

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Date of creation: Jul 2013
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Handle: RePEc:rim:rimwps:40_13

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Keywords: expected value; density matrix; uncertainty; quantum games;

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  8. Brandenburger, Adam, 2010. "The relationship between quantum and classical correlation in games," Games and Economic Behavior, Elsevier, vol. 69(1), pages 175-183, May.
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  10. 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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  13. Mirowski,Philip, 2002. "Machine Dreams," Cambridge Books, Cambridge University Press, number 9780521772839.
  14. Edward W. Piotrowski & Jan Sladkowski, . "The Next Stage: Quantum Game Theory," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics.
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  16. Philip Mirowski, 1992. "What Were von Neumann and Morgenstern Trying to Accomplish?," History of Political Economy, Duke University Press, vol. 24(5), pages 113-147, Supplemen.
  17. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer, vol. 1(1), pages 9-41, June.
  18. Edward W. Piotrowski & Jan Sladkowski, . "An Invitation to Quantum Game Theory," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.
  19. Roger B. Myerson, 1999. "Nash Equilibrium and the History of Economic Theory," Journal of Economic Literature, American Economic Association, vol. 37(3), pages 1067-1082, September.
  20. Peter Fishburn & Peter Wakker, 1995. "The Invention of the Independence Condition for Preferences," Management Science, INFORMS, vol. 41(7), pages 1130-1144, July.
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