Quantum entanglement and quantum game

2008 Fiscal Year Final Research Report

• 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
• Keywords: ゲーム理論 / 量子戦略 / 量子相関 / 利他性 / ベル不等式

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] 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 Pages: 135301 (9pp)
  • Peer Reviewed
• [Journal Article] Anomalous relativistic tunneling and exotic point interactions (2008)
  • Author(s): P.Hejcik and T.Cheon
  • Journal Title: Europhys. Lett. 81 Pages: 50001 (5pp)
  • 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 Pages: 024801 (6pp)
  • 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 games using non-factorizable probabilities (2007)
  • Author(s): A.Iqbal and T.Cheon
  • Journal Title: Phys. Rev. E 76 Pages: 061122 (12pp)
  • 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 Pages: 014801 (5pp)
  • Peer Reviewed
• [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 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