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arXiv 1609.03358physics.soc-ph
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尊重的获得和丧失、直接互惠和海德平衡

Gain and loss of esteem, direct reciprocity and Heider balance

Forough Hassanibesheli, Leila Hedayatifar, Przemysław Gawroński, Maria Stojkow, Dorota Żuchowska-Skiba, Krzysztof Kułakowski

摘要:

获得和失去尊重的影响被引入到社会关系的时间演变方程中,敌对或友好,在一组演员中。这些方程考虑到了非对称关系。我们证明,在这种不对称的存在下,大多数稳定的解决方案是堵塞的状态,即海德尔平衡没有达到。相图由三个阶段构成:堵塞阶段、两个相互敌对的群体的平衡阶段以及所谓的天堂阶段,其中所有关系都是友好的。

英文摘要:

The effect of gain and loss of esteem is introduced into the equations of time evolution of social relations, hostile or friendly, in a group of actors. The equations allow for asymmetric relations. We prove that in the presence of this asymmetry, the majority of stable solutions are jammed states, i.e. the Heider balance is not attained there. A phase diagram is constructed with three phases: the jammed phase, the balanced phase with two mutually hostile groups, and the phase of so-called paradise, where all relations are friendly.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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