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Elementary Quantum Mechanical Principles and Social Science: Is There a Connection?

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  • Haven, Emmanuel

    (School of Management - University of Leicester - United Kingdom)

Abstract

In this paper we provide first for a brief overview of some of the work which has been performed on the interface of quantum mechanics and macroscopic systems (such as economics). We then provide for an overview of how such quantum mechanical concepts can enter financial option pricing theory. We round off the paper with some suggestions on where this area of research can be heading in the near future.

Suggested Citation

  • Haven, Emmanuel, 2008. "Elementary Quantum Mechanical Principles and Social Science: Is There a Connection?," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 5(1), pages 41-58, March.
    • Handle: RePEc:rjr:romjef:v:5:y:2008:i:1:p:41-58
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    References listed on IDEAS

    as
    1. Yishen Li & Jin Zhang, 2004. "Option pricing with Weyl-Titchmarsh theory," Quantitative Finance, Taylor & Francis Journals, vol. 4(4), pages 457-464.
    2. Luigi Accardi & Andreas Boukas, 2007. "The Quantum Black-Scholes Equation," Papers 0706.1300, arXiv.org.
    3. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    4. Thomas Lux & Michele Marchesi, 1999. "Scaling and criticality in a stochastic multi-agent model of a financial market," Nature, Nature, vol. 397(6719), pages 498-500, February.
    5. Shubik, Martin, 1999. "Quantum economics, uncertainty and the optimal grid size," Economics Letters, Elsevier, vol. 64(3), pages 277-278, September.
    6. Decamps, Marc & De Schepper, Ann & Goovaerts, Marc, 2006. "A path integral approach to asset-liability management," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 404-416.
    7. Machina, Mark J., 1989. "Comparative statics and non-expected utility preferences," Journal of Economic Theory, Elsevier, vol. 47(2), pages 393-405, April.
    8. Matthias Otto, 1999. "Stochastic relaxational dynamics applied to finance: towards non-equilibrium option pricing theory," Papers cond-mat/9906196, arXiv.org, revised Oct 1999.
    9. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    10. Emmanuel Haven, 2008. "Private Information and the ‘Information Function’: A Survey of Possible Uses," Theory and Decision, Springer, vol. 64(2), pages 193-228, March.
    11. Badredine Arfi, 2005. "Resolving the Trust Predicament: A Quantum Game-theoretic Approach," Theory and Decision, Springer, vol. 59(2), pages 127-174, September.
    12. Machina, Mark J, 1989. "Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty," Journal of Economic Literature, American Economic Association, vol. 27(4), pages 1622-1668, December.
    13. Kirill Ilinski, 1997. "Physics of Finance," Papers hep-th/9710148, arXiv.org.
    14. Ausloos, Marcel & Pe¸kalski, Andrzej, 2007. "Model of wealth and goods dynamics in a closed market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 560-568.
    15. Fedotov, Sergei & Panayides, Stephanos, 2005. "Stochastic arbitrage return and its implication for option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 207-217.
    16. Andrei Khrennikov, 2007. "Classical and quantum randomness and the financial market," Papers 0704.2865, arXiv.org.
    17. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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    Cited by:

    1. Raymond J. Hawkins & B. Roy Frieden, 2012. "Asymmetric Information and Quantization in Financial Economics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, December.

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    More about this item

    Keywords

    superposition; wave function; Black-Scholes option price; information function; probability amplitude; Schrödinger equation; Newton- Bohm trajectory; mean forward (backward) derivative;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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