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Correlated Equilibria of Classical Strategic Games with Quantum Signals

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Author Info

  • Pierfrancesco La Mura

    (Leipzig Graduate School of Management)

Abstract

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.

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File URL: http://128.118.178.162/eps/game/papers/0309/0309001.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0309001.

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Length: 8 pages
Date of creation: 04 Sep 2003
Date of revision:
Handle: RePEc:wpa:wuwpga:0309001

Note: Type of Document - pdf; pages: 8
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Web page: http://128.118.178.162

Related research

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

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References

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  1. Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
  2. Roger B. Myerson & Mark A. Satterthwaite, 1981. "Efficient Mechanisms for Bilateral Trading," Discussion Papers 469S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
  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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Citations

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Cited by:
  1. Brandenburger, Adam, 2010. "The relationship between quantum and classical correlation in games," Games and Economic Behavior, Elsevier, vol. 69(1), pages 175-183, May.
  2. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," PSE Working Papers halshs-00566780, HAL.
  3. David K Levine, 2005. "Quantum Games Have No News For Economics," Levine's Working Paper Archive 618897000000001000, David K. Levine.
  4. Jérôme Busemeyer & Ariane Lambert-Mogiliansky, 2012. "Quantum Type Indeterminacy in Dynamic Decision-Making: Self-control Through Identity Management," Working Papers halshs-00692024, HAL.
  5. Vladimir I. Danilov & Ariane Lambert-Mogiliansky, 2005. "Non-classical measurement theory: a framework forbehavioral sciences," PSE Working Papers halshs-00590714, HAL.
  6. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," Working Papers halshs-00564895, HAL.
  7. Jérôme Busemeyer & Ariane Lambert-Mogiliansky, 2012. "Quantum Type Indeterminacy in Dynamic Decision-Making: Self-control Through Identity Management," PSE Working Papers halshs-00692024, HAL.
  8. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," Working Papers halshs-00566780, HAL.
  9. Temzelides, Ted, 2010. "Modeling the act of measurement in the social sciences," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 607-615, July.
  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. Adam Brandenburger, 2008. "The Relationship Between Classical and Quantum Correlation in Games," Levine's Working Paper Archive 122247000000002312, David K. Levine.
  12. Danilov, V.I. & Lambert-Mogiliansky, A., 2008. "Measurable systems and behavioral sciences," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 315-340, May.
  13. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," PSE Working Papers halshs-00564895, HAL.
  14. Adam Brandenburger, 2007. "A Connection Between Correlation in Game Theory and Quantum Mechanics," Levine's Working Paper Archive 122247000000001725, David K. Levine.
  15. Vladimir I. Danilov & Ariane Lambert-Mogiliansky, 2005. "Non-classical measurement theory: a framework forbehavioral sciences," Working Papers halshs-00590714, HAL.

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