Quantum and classical correlations between players in game theory
Quantum and classical correlations between players in game theory
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DOI：
10.1142/s0219749904000092
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发表时间：
2004-03-01
影响因子：
1.2
通讯作者：
Imoto, N
中科院分区：
文献类型：
--
作者：
Shimamura, J;Özdemir, SK;Imoto, N
研究了量子关联和经典关联对博弈论的影响，阐明了量子力学工具箱为博弈论带来的新方面。在本研究中，我们比较了以最大纠缠态为代表的量子相关和在最大纠缠态上通过相位阻尼过程产生的经典相关。因此，这也揭示了游戏在噪声源影响下的行为。研究发现，量子相关总能解决非零和博弈中的两难困境，并使博弈双方的收益总和达到最大，而经典相关则不能解决非零和博弈中的两难困境。
Effects of quantum and classical correlations on game theory are studied to clarify the new aspects brought into game theory by the quantum mechanical toolbox. In this study, we compare quantum correlation represented by a maximally entangled state and classical correlation that is generated through phase damping processes on the maximally entangled state. Thus, this also sheds light on the behavior of games under the influence of noisy sources. It is observed that the quantum correlation can always resolve the dilemmas in non-zero sum games and attain the maximum sum of both players' payoffs, while the classical correlation cannot necessarily resolve the dilemmas.