Effects of inhomogeneous activity of players and noise on cooperation in spatial public goods games

Effects of inhomogeneous activity of players and noise on cooperation in spatial public goods games
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参与者非同质活动和噪声对空间公共物品博弈合作的影响

DOI:
10.1103/physreve.76.056101
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发表时间:
2007-11-01
期刊:
影响因子:
2.4
通讯作者:
Wang, Ying-Hai
Wang, Ying-Hai
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Guan, Jian-Yue;Wu, Zhi-Xi;Wang, Ying-Hai

文献摘要

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我们研究了在有噪声的情况下,在正方形格子上具有非均匀教学活动的局中人的公共物品博弈。结果表明,引入非同质性的教学活动,能显著促进合作。通过详细研究噪声对合作行为的影响,我们发现合作者密度rho(C)随噪声参数kappa的变化表现出几种不同的行为:rho(C)单调增加(减少)与kappa; rho(C)首先增加随着kappa的下降,在达到其最大(最小)值之后单调(增加),这取决于倍增因子r的量,取决于系统是均匀的还是非均匀的,以及所采用的更新是同步还是异步。这些结果表明,噪声在合作的演化中起着重要的和非平凡的作用。
We study the public goods game in the noisy case by considering the players with inhomogeneous activity of teaching on a square lattice. It is shown that the introduction of the inhomogeneous activity of teaching the players can remarkably promote cooperation. By investigating the effects of noise on cooperative behavior in detail, we find that the variation of cooperator density rho(C) with the noise parameter kappa displays several different behaviors: rho(C) monotonically increases (decreases) with kappa; rho(C) first increases (decreases) with kappa and then it decreases (increases) monotonically after reaching its maximum (minimum) value, which depends on the amount of the multiplication factor r, on whether the system is homogeneous or inhomogeneous, and on whether the adopted updating is synchronous or asynchronous. These results imply that the noise plays an important and nontrivial role in the evolution of cooperation.