Quantum entanglement and quantum game

• Project/Area Number: 18540384
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kochi University of Technology
• Principal Investigator: ZEN Takusu Kochi University of Technology, 工学部, 教授 (60227353)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥4,000,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥600,000); Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2006: ¥1,400,000 (Direct Cost: ¥1,400,000)
• Keywords: ゲーム理論 / 量子戦略 / 量子相関 / 利他性 / ベル不等式 / 量子情報 / エンタングルメント / 量子的相関 / シュミット分解 / 量子的利他性

Research Abstract

内実が、通常の古典ゲーム理論そのものに加えて、ゲーム理論において従来扱うことが困難であった「利他性」を表す部分を持つことを示した。さらに「純量子的」内実を、ハーサニー型の不完備情報ゲームにおいて、純粋に分離して観測することが可能なことを示した。量子ゲーム理論が、これまでの通念とは異なり、経済学をはじめとした通常のゲーム理論にもインパクトがある事実を明確にすることができた。

Research Products

• [Journal Article] New Anatomy of Quantum Holonomy (2009)
  • Author(s): T. Cheon., A. Tanaka
  • Journal Title: Europhysics Letters 85
  • Peer Reviewed
• [Journal Article] Probabilistic analysis of three- player symmetric games played using EPR settings (2008)
  • Author(s): A.Iqbal, T.Cheon, D.Abbott
  • Journal Title: Phys. Lett. A 372 Pages: 6564-6577
  • Peer Reviewed
• [Journal Article] Quantum game theory bsed on the Schmidt decomposition (2008)
  • Author(s): T.Ichikawa, I.Tsutsui, T.Cheon
  • Journal Title: J. of Phys. A: Math. Theor.J. of Phys. A: Math. Theor. 41
  • Peer Reviewed
• [Journal Article] Anomalous relativistic tunneling and exotic point interactions (2008)
  • Author(s): P.Hejcik and T.Cheon
  • Journal Title: Europhys. Lett. 81
  • Peer Reviewed
• [Journal Article] Bayesian Nash equilibria and Bell inequalities (2008)
  • Author(s): T.Cheon and A.Iqbal
  • Journal Title: J. Phys. Soc. Jpn. 77
  • Peer Reviewed
• [Journal Article] Evolutionary stability in quantum games (2008)
  • Author(s): A.Iqbal, T.Cheon
  • Journal Title: Chapter 14 in "Quantum Aspects of Life", ed. D. Abbott (Imperial College Press)
• [Journal Article] Quantum Game Theory based on the Schmidt Decomposition (2008)
  • Author(s): T. Ichikawa, I. Tsutsui, T. Cheon
  • Journal Title: Journal of Physics A : mathematical and theoretical 41 Pages: 135303-135303
  • Peer Reviewed
• [Journal Article] Probabilitic Analysis of 3-Player Symmetric Games using EPR Settings (2008)
  • Author(s): A. Iqbal, T. Cheon, D. Abbott
  • Journal Title: Physics Letter A 372 Pages: 6564-6577
  • Peer Reviewed
• [Journal Article] Bayesian Nash equilibria and Bell inequalities (2008)
  • Author(s): T.Cheon, A.Iqbal
  • Journal Title: Journal of the Physical Society of Japan 77
  • Peer Reviewed
• [Journal Article] Anomalous relativistic tunneling and exotic point interactions (2008)
  • Author(s): T.Cheon, P.Hejcik
  • Journal Title: Europhysics Letters 81
  • Peer Reviewed
• [Journal Article] Quantum games using non-factorizable probabilities (2007)
  • Author(s): A.Iqbal and T.Cheon
  • Journal Title: Phys. Rev. E 76
  • Peer Reviewed
• [Journal Article] Quantum games using non-factorizable probabilities (2007)
  • Author(s): A.Iqbal, T.Cheon
  • Journal Title: Physical Review E 76
  • Peer Reviewed
• [Journal Article] Irregular dynamics in solvable one- dimensional quantum graph (2006)
  • Author(s): P.Hejcik, T.Cheon
  • Journal Title: Phys. Lett. A 356 Pages: 290-293
  • Peer Reviewed
• [Journal Article] Metastable congested states in multisegment traffic cellular automaton (2006)
  • Author(s): Y.Nishimura, P.Seba, T.Cheon
  • Journal Title: J. Phys. Soc. Jpn. 75
  • Peer Reviewed
• [Journal Article] Irregular dynamics in a solvable one-dimensional quantum graph (2006)
  • Author(s): P.Hejcik, T.Cheon
  • Journal Title: Physics Letters A 356 Pages: 290-293
• [Journal Article] 特異点と一次元量子論 (2006)
  • Author(s): 全 卓樹, 筒井 泉
  • Journal Title: 別冊・数理科学「量子の新世紀」 Pages: 197-207
• [Journal Article] Game theory formulated on Hilbert space (2006)
  • Author(s): T.Cheon
  • Journal Title: AIP Conference Proceedings 865 Pages: 254-260
• [Presentation] New anatomy of quantum holonomy (2009)
  • Author(s): T. Cheon
  • Organizer: International mini workshop on theoretical foundations and applications of quantum control
  • Place of Presentation: 東工大物理学科
  • Year and Date: 2009-07-11
• [Presentation] New anatomy of quantum holonomy, International mini workshop on theoretical foundations and applications of quantum control (2008)
  • Author(s): T.Cheon
  • Organizer: Tokyo Inst. Of Tech
  • Place of Presentation: Tokyo
  • Year and Date: 2008-07-11
• [Presentation] Quantum Bayesian Nash equilibria and Bell inequalities (2008)
  • Author(s): T.Cheon
  • Organizer: International conference on quantum, nano and micro technologies
  • Place of Presentation: Martinique, France
  • Year and Date: 2008-02-11
• [Presentation] Quantum Bayesian Nash equilibria and Bell inequalities (2008)
  • Author(s): T.Cheon
  • Organizer: International Conference on quantum, nano and micro technologies, 2008
  • Place of Presentation: Martinique,France
  • Year and Date: 2008-02-11
• [Presentation] Quantum Game: Bayesian Nash Equilibria and Bell Inequalities (2007)
  • Author(s): T.Cheon
  • Organizer: 9th Japan-Slovenia Seminar on Nonlinear Sciences
  • Place of Presentation: Osaka City Univ. Osaka
  • Year and Date: 2007-11-14
• [Presentation] 量子ゲーム/ナッシュ均衡とベル不等式 (2007)
  • Author(s): 全卓樹
  • Organizer: イノヴェイティヴコンピューティング調査研究会第1回講演会「量子力学とシステム情報制御
  • Place of Presentation: 兵庫県立大学
  • Year and Date: 2007-07-21
• [Presentation] ベイズ=ナッシュ均衡とベル不等式 (2007)
  • Author(s): 全卓樹
  • Organizer: KEK 理論物理研究会「安定と不安定」
  • Place of Presentation: 高エネルギー加速器研究機構
  • Year and Date: 2007-03-23
• [Book] Quantum Aspects of Life, Chapter 14, "Evolutionary stability in quantum games" (2007)
  • Author(s): A.Iqbal, T.Cheon
  • Total Pages: 39
  • Publisher: Imperial College Press
• [Remarks]
  • URL: http://www.kochi-tech.ac.jp/~cheon/
• [Remarks]
  • URL: http://www.mech.kochi-tech.ac.jp/cheon/