Dynamics of a discoordination game with classical and quantum correlations

Şahin Kaya Özdemir; Junichi Shimamura; Fumiaki Morikoshi; Nobuyuki Imoto

doi:10.1016/j.physleta.2004.10.055

Dynamics of a discoordination game with classical and quantum correlations

Şahin Kaya Özdemir
, Junichi Shimamura
, Fumiaki Morikoshi
, Nobuyuki Imoto

Engineering Science and Mechanics

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

Effects of classical/quantum correlations and operations in simultaneous move games are analyzed using a discoordination game, known as Samaritan's dilemma, in which there is no Nash equilibrium (NE) when played with classical pure strategies. We show that although the dilemma can be resolved with quantum operations provided that there is a shared classically correlated state between the players, it is only in the presence of entanglement that the players can receive the highest possible payoff sums.

Original language	English (US)
Pages (from-to)	218-231
Number of pages	14
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	333
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physleta.2004.10.055
State	Published - Dec 6 2004

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/j.physleta.2004.10.055

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title = "Dynamics of a discoordination game with classical and quantum correlations",

abstract = "Effects of classical/quantum correlations and operations in simultaneous move games are analyzed using a discoordination game, known as Samaritan's dilemma, in which there is no Nash equilibrium (NE) when played with classical pure strategies. We show that although the dilemma can be resolved with quantum operations provided that there is a shared classically correlated state between the players, it is only in the presence of entanglement that the players can receive the highest possible payoff sums.",

author = "{\"O}zdemir, \{{\c S}ahin Kaya\} and Junichi Shimamura and Fumiaki Morikoshi and Nobuyuki Imoto",

note = "Funding Information: The authors thank Dr. T. Yamamoto for his help and stimulating discussions. This work is partially supported by a Grant-in-Aid for Scientific Research (C) (15300079) by the Japan Society for the Promotion of Science (JSPS).",

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AU - Özdemir, Şahin Kaya

AU - Shimamura, Junichi

AU - Morikoshi, Fumiaki

AU - Imoto, Nobuyuki

N1 - Funding Information: The authors thank Dr. T. Yamamoto for his help and stimulating discussions. This work is partially supported by a Grant-in-Aid for Scientific Research (C) (15300079) by the Japan Society for the Promotion of Science (JSPS).

PY - 2004/12/6

Y1 - 2004/12/6

N2 - Effects of classical/quantum correlations and operations in simultaneous move games are analyzed using a discoordination game, known as Samaritan's dilemma, in which there is no Nash equilibrium (NE) when played with classical pure strategies. We show that although the dilemma can be resolved with quantum operations provided that there is a shared classically correlated state between the players, it is only in the presence of entanglement that the players can receive the highest possible payoff sums.

AB - Effects of classical/quantum correlations and operations in simultaneous move games are analyzed using a discoordination game, known as Samaritan's dilemma, in which there is no Nash equilibrium (NE) when played with classical pure strategies. We show that although the dilemma can be resolved with quantum operations provided that there is a shared classically correlated state between the players, it is only in the presence of entanglement that the players can receive the highest possible payoff sums.

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -

Dynamics of a discoordination game with classical and quantum correlations

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