Probabilistic analysis of three-player symmetric quantum games played using the Einstein–Podolsky–Rosen–Bohm setting

Probabilistic analysis of three-player symmetric quantum games played using the... This Letter extends our probabilistic framework for two-player quantum games to the multiplayer case, while giving a unified perspective for both classical and quantum games. Considering joint probabilities in the Einstein–Podolsky–Rosen–Bohm (EPR–Bohm) setting for three observers, we use this setting in order to play general three-player noncooperative symmetric games. We analyze how the peculiar non-factorizable joint probabilities provided by the EPR–Bohm setting can change the outcome of a game, while requiring that the quantum game attains a classical interpretation for factorizable joint probabilities. In this framework, our analysis of the three-player generalized Prisoner's Dilemma (PD) shows that the players can indeed escape from the classical outcome of the game, because of non-factorizable joint probabilities that the EPR setting can provide. This surprising result for three-player PD contrasts strikingly with our earlier result for two-player PD, played in the same framework, in which even non-factorizable joint probabilities do not result in escaping from the classical consequence of the game. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physics Letters A Elsevier

Probabilistic analysis of three-player symmetric quantum games played using the Einstein–Podolsky–Rosen–Bohm setting

Physics Letters A, Volume 372 (44) – Oct 27, 2008

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Publisher
Elsevier
Copyright
Copyright © 2008 Elsevier B.V.
ISSN
0375-9601
D.O.I.
10.1016/j.physleta.2008.09.026
Publisher site
See Article on Publisher Site

Abstract

This Letter extends our probabilistic framework for two-player quantum games to the multiplayer case, while giving a unified perspective for both classical and quantum games. Considering joint probabilities in the Einstein–Podolsky–Rosen–Bohm (EPR–Bohm) setting for three observers, we use this setting in order to play general three-player noncooperative symmetric games. We analyze how the peculiar non-factorizable joint probabilities provided by the EPR–Bohm setting can change the outcome of a game, while requiring that the quantum game attains a classical interpretation for factorizable joint probabilities. In this framework, our analysis of the three-player generalized Prisoner's Dilemma (PD) shows that the players can indeed escape from the classical outcome of the game, because of non-factorizable joint probabilities that the EPR setting can provide. This surprising result for three-player PD contrasts strikingly with our earlier result for two-player PD, played in the same framework, in which even non-factorizable joint probabilities do not result in escaping from the classical consequence of the game.

Journal

Physics Letters AElsevier

Published: Oct 27, 2008

References

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    Iqbal, A.; Toor, A.H.
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    Iqbal, A.; Cheon, T.
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    Einstein, A.; Podolsky, B.; Rosen, N.
  • Speakable and Unspeakable in Quantum Mechanics
    Bell, J.S.
  • Phys. Rev. Lett.
    Aspect, A.; Dalibard, J.; Roger, G.

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