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Correlated Equilibria of Classical Strategic Games with Quantum Signals


  • Pierfrancesco La Mura

    (Leipzig Graduate School of Management)


Correlated equilibria are sometimes more efficient than the Nash equilibria of a game without signals. We investigate whether the availability of quantum signals in the context of a classical strategic game may allow the players to achieve even better efficiency than in any correlated equilibrium with classical signals, and find the answer to be positive.

Suggested Citation

  • Pierfrancesco La Mura, 2003. "Correlated Equilibria of Classical Strategic Games with Quantum Signals," Game Theory and Information 0309001, EconWPA.
  • Handle: RePEc:wpa:wuwpga:0309001
    Note: Type of Document - pdf; pages: 8

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    References listed on IDEAS

    1. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    2. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    3. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    4. Bernardo A. Huberman & Tad Hogg HP Laboratories, 2003. "Quantum Solution of Coordination Problems," Game Theory and Information 0306005, EconWPA.
    5. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Cited by:

    1. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," PSE Working Papers halshs-00564895, HAL.
    2. Ariane Lambert-Mogiliansky & Jerome Busemeyer, 2012. "Quantum Type Indeterminacy in Dynamic Decision-Making: Self-Control through Identity Management," Games, MDPI, Open Access Journal, vol. 3(2), pages 1-22, May.
    3. David K Levine, 2005. "Quantum Games Have No News For Economics," Levine's Working Paper Archive 618897000000001000, David K. Levine.
    4. Vladimir Ivanovitch Danilov & Ariane Lambert-Mogiliansky, 2005. "Non-classical measurement theory: a framework forbehavioral sciences," PSE Working Papers halshs-00590714, HAL.
    5. Danilov, V.I. & Lambert-Mogiliansky, A., 2008. "Measurable systems and behavioral sciences," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 315-340, May.
    6. Adam Brandenburger, 2007. "A Connection Between Correlation in Game Theory and Quantum Mechanics," Levine's Working Paper Archive 122247000000001725, David K. Levine.
    7. Temzelides, Ted, 2010. "Modeling the act of measurement in the social sciences," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 607-615, July.
    8. 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.
    9. Brandenburger, Adam, 2010. "The relationship between quantum and classical correlation in games," Games and Economic Behavior, Elsevier, vol. 69(1), pages 175-183, May.
    10. Ariane Lambert-Mogiliansky & Ismael Martinez-Martinez, 2014. "Basic Framework for Games with Quantum-like Players," PSE Working Papers hal-01095472, HAL.
    11. Adam Brandenburger, 2008. "The Relationship Between Classical and Quantum Correlation in Games," Levine's Working Paper Archive 122247000000002312, David K. Levine.
    12. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," PSE Working Papers halshs-00566780, HAL.

    More about this item


    strategic games; quantum mechanics; correlated equilibrium; coordination; entanglement; efficiency;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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