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A quantum framework for economic science: New directions

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  • Patra, Sudip

Abstract

The current paper explores the cutting-edge applications of quantum field theory and quantum information theory modelling in different areas of economic science, namely, in the behavioural modelling of agents under market uncertainty, and mathematical modelling of asset or option prices and firm theory. The paper then provides a brief discussion into a possible extension of the extant literature of quantum-like modelling based on scattering theory and statistical field theory. A statistical theory of firm based on Feynman path integral technique is also proposed very recently. The collage of new initiatives as described in the current paper will hopefully ignite still newer ideas.

Suggested Citation

  • Patra, Sudip, 2019. "A quantum framework for economic science: New directions," Economics Discussion Papers 2019-20, Kiel Institute for the World Economy (IfW Kiel).
    • Handle: RePEc:zbw:ifwedp:201920
    as

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    File URL: http://www.economics-ejournal.org/economics/discussionpapers/2019-20
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    References listed on IDEAS

    as
    1. Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2007. "Probabilities in Economic Modeling," PIER Working Paper Archive 07-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
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    3. Khrennikova, Polina & Patra, Sudip, 2019. "Asset trading under non-classical ambiguity and heterogeneous beliefs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 562-577.
    4. Edward W. Piotrowski & Jan Sladkowski, "undated". "An Invitation to Quantum Game Theory," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.
    5. Sudipto Bhattacharya, 1979. "Imperfect Information, Dividend Policy, and "The Bird in the Hand" Fallacy," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 259-270, Spring.
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    7. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-1168, September.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    quantum like modelling; contextuality; QFT (quantum field theory); self-adjoint operators; uncertainty; epistemic; ontic;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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