Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2312.05124 · Physica A Statistical Mechanics and its Applications

Repeated quantum game as a stochastic game: Effects of the shadow of the future and entanglement

Archan Mukhopadhyay, Saikat Sur, Tanay Saha, Shubhadeep Sadhukhan, Sagar Chakraborty

Published Feb 17, 2024• 6 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2024.129613

Related papers

Infinitely repeated quantum games and strategic efficiency

Kazuki Ikeda, Shoto Aoki

arXiv:2005.05588•Quantum Information Processing•Nov 17, 2021•18 citations

Repeated Quantum Games and Strategic Efficiency

Kazuki Ikeda

•Jan 1, 2020•5 citations

Repeated Quantum Games and Strategic Efficiency.

Shoto Aoki, Kazuki Ikeda

Repeated quantum game theory addresses long term relations among players who choose quantum strategies. In the conventional quantum game theory, only single round quantum games or at most finitely repeated games have been studied, therefore nothing is known for infinitely repeated quantum game. Investigating infinitely repeated games is crucial since finitely repeated games does not much differ from single round games. In this work we establish the concept of general repeated quantum games and show the Quantum Folk Theorem, which claims that by iterating a game one can find an equilibrium strategy of the game and receive reward that is not obtained by a Nash equilibrium of the corresponding single round quantum game. A significant difference between repeated quantum prisoner's dilemma and repeated classical prisoner's dilemma is that the classical Pareto optimal solution is not always an equilibrium of the repeated quantum game when entanglement is sufficiently strong. In addition we present several concrete equilibrium strategies of the repeated quantum prisoner's dilemma.

•May 12, 2020•2 citations

Quantum Game Theory on Entangled Players

Noureldin Mohamed Abdelaal Ahmed Mohamed, Huang Taisheng, Pang Jinhui

Lecture notes in networks and systems•Jan 1, 2023•0 citations

Research on Repeated Quantum Games with Public Goods under Strong Reciprocity

Simo Sun, Yadong Shu, Jinxiu Pi +1 more

We construct a repeated quantum game with public goods by the quantum entanglement and strong reciprocity. By using the paradigm of quantum game analysis, we obtain that both the quantum entanglement and strong reciprocity are helpful to intensify cooperation and achieving Pareto optimality. In addition, under an example which is greenhouse green viable planting industry, we verify that the quantum entanglement and strong reciprocity have a positive role in cooperation.

Axioms•Nov 10, 2023•1 citation

Quantum Game Theory — I

Indranil Ghosh

Resonance•May 1, 2021•9 citations
Repeated quantum game theory addresses long term relations among players who choose quantum strategies. In the conventional quantum game theory, only single round quantum games or at most finitely repeated games have been studied, therefore nothing is known for infinitely repeated quantum game. Investigating infinitely repeated games is crucial since finitely repeated games does not much differ from single round games. In this work we establish the concept of general repeated quantum games and show the Quantum Folk Theorem, which claims that by iterating a game one can find an equilibrium strategy of the game and receive reward that is not obtained by a Nash equilibrium of the corresponding single round quantum game. A significant difference between repeated quantum prisoner's dilemma and repeated classical prisoner's dilemma is that the classical Pareto optimal solution is not always an equilibrium of the repeated quantum game when entanglement is sufficiently strong. In addition we present several concrete equilibrium strategies of the repeated quantum prisoner's dilemma.