ArticleScientific reports2014
Entanglement guarantees emergence of cooperation in quantum prisoner's dilemma games on networks.
Article in Scientific reports, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Nash Equilibria in Four-Strategy Quantum Extensions of the Prisoner's Dilemma Game.Entropy (Basel, Switzerland) · 2025Article
- Article
- Quantum affective processes for multidimensional decision-making.Scientific reports · 2022Article
- Noisy three-player dilemma game: robustness of the quantum advantage.Quantum information processing · 2020Article
- The co-evolution of networks and prisoner's dilemma game by considering sensitivity and visibility.Scientific reports · 2017Article
- How the initial level of visibility and limited resource affect the evolution of cooperation.Scientific reports · 2016Article
- A novel framework of classical and quantum prisoner's dilemma games on coupled networks.Scientific reports · 2016Article
- Dynamics, morphogenesis and convergence of evolutionary quantum Prisoner's Dilemma games on networks.Proceedings. Mathematical, physical, and engineering sciences · 2016Article
- Article
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2 authors.
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Abstract
It was known that cooperation of evolutionary prisoner's dilemma games fails to emerge in homogenous networks such as random graphs. Here we proposed a quantum prisoner's dilemma game. The game consists of two players, in which each player has three choices of strategy: cooperator (C), defector (D) and super cooperator (denoted by Q). We found that quantum entanglement guarantees emergence of a new cooperation, the super cooperation of the quantum prisoner's dilemma games, and that entanglement is the mechanism of guaranteed emergence of cooperation of evolutionary prisoner's dilemma games on networks. We showed that for a game with temptation b, there exists a threshold arccos √b/b for a measurement of entanglement, beyond which, (super) cooperation of evolutionary quantum prisoner's dilemma games is guaranteed to quickly emerge, giving rise to stochastic convergence of the cooperations, that if the entanglement degree γ is less than the threshold arccos √b/b, then the equilibrium frequency of cooperations of the games is positively correlated to the entanglement degree γ, and that if γ is less than arccos √b/b and b is beyond some boundary, then the equilibrium frequency of cooperations of the games on random graphs decreases as the average degree of the graphs increases.
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