IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper

John von Neumann between Physics and Economics: A Methodological Note

  • Luca Lambertini

    ()

    (Department of Economics, University of Bologna, Italy)

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.rcfea.org/RePEc/pdf/wp40_13.pdf
Download Restriction: no

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

as
in new window

Length:
Date of creation: Jul 2013
Date of revision:
Handle: RePEc:rim:rimwps:40_13
Contact details of provider: Postal:
Via Patara, 3, 47921 Rimini (RN)

Phone: +390541434142
Fax: +39054155431
Web page: http://www.rcfea.org
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
  2. 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.
  3. Mirowski,Philip, 2002. "Machine Dreams," Cambridge Books, Cambridge University Press, number 9780521772839, October.
  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. 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.
  6. 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.
  7. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November.
  8. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer, vol. 1(1), pages 9-41, June.
  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.
  10. Brandenburger, Adam, 2010. "The relationship between quantum and classical correlation in games," Games and Economic Behavior, Elsevier, vol. 69(1), pages 175-183, May.
  11. 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.
  12. Edward W. Piotrowski & Jan Sladkowski, . "Quantum Market Games," Departmental Working Papers 3, University of Bialtystok, Department of Theoretical Physics.
  13. Richard D. Mckelvey & Thomas R. Palfrey, 1996. "A Statistical Theory Of Equilibrium In Games," The Japanese Economic Review, Japanese Economic Association, vol. 47(2), pages 186-209, 06.
  14. Edward W. Piotrowski & Jan Sladkowski, . "The Next Stage: Quantum Game Theory," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics.
  15. Edward W. Piotrowski & Jan Sladkowski, . "An Invitation to Quantum Game Theory," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.
  16. Leland, Hayne E, 1972. "Theory of the Firm Facing Uncertain Demand," American Economic Review, American Economic Association, vol. 62(3), pages 278-91, June.
  17. Peter Fishburn & Peter Wakker, 1995. "The Invention of the Independence Condition for Preferences," Management Science, INFORMS, vol. 41(7), pages 1130-1144, July.
  18. Edward W. Piotrowski & Jan Sladkowski, . "Trading by Quantum Rules - Quantum Anthropic Principle," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics.
  19. Mirowski,Philip, 2002. "Machine Dreams," Cambridge Books, Cambridge University Press, number 9780521775267, October.
  20. Walker, D A, 1991. "Economics as Social Physics: Review Article," Economic Journal, Royal Economic Society, vol. 101(406), pages 615-31, May.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:rim:rimwps:40_13. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marco Savioli)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.