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A Subjective Approach to Quantum Probability

Author

Listed:
  • Ehud Lehrer

    (Tel Aviv University)

  • Eran Shmaya

    (Tel Aviv University)

Abstract

A likelihood order is defined over linear subspaces of a finite dimensional Hilbert space. It is shown that such an order that satisfies some plausible axioms can be represented by a quantum probability in two cases: pure state and uniform measure.

Suggested Citation

  • Ehud Lehrer & Eran Shmaya, 2005. "A Subjective Approach to Quantum Probability," Game Theory and Information 0503002, EconWPA.
  • Handle: RePEc:wpa:wuwpga:0503002
    Note: Type of Document - pdf; pages: 17
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    File URL: http://econwpa.repec.org/eps/game/papers/0503/0503002.pdf
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    References listed on IDEAS

    as
    1. Jacob Gyntelberg & Frank Hansen, 2004. "Expected Utility Theory with “Small Worlds”," FRU Working Papers 2004/04, University of Copenhagen. Department of Economics. Finance Research Unit.
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    Cited by:

    1. Vladimir Ivanovitch Danilov & Ariane Lambert-Mogiliansky, 2007. "Non-classical expected utility theory with application to type indeterminacy," Working Papers halshs-00587721, HAL.
    2. V. Danilov & A. Lambert-Mogiliansky, 2010. "Expected utility theory under non-classical uncertainty," Theory and Decision, Springer, vol. 68(1), pages 25-47, February.

    More about this item

    Keywords

    subjective approach; quantum probabilty; betting;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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