通过竞争性赠礼涌现的经济与社会不平等
Emergence of economic and social disparities through competitive gift-giving
AI总结：
本文通过竞争性赠礼模型和平均场分析，揭示了群队、部落、酋邦、王国四种社会组织相变，阐明经济与社会不平等涌现的机制，并给出与人类学观察一致的定量分类标准。
摘要：
人们已经观察到若干层级的社会组织，它们具有不同程度的经济和社会不平等。然而，对这些类型的定量刻画以及转变的因果机制几乎尚未得到解释。人类学家强调，在传统社会中，礼物交换而非市场交换占据主导地位，并塑造社会关系，但很少有数学研究探讨其对社会组织的后果。在本研究中，我们提出一个简单的竞争性赠礼模型，描述礼物如何为接受者带来物品、为赠送者带来荣誉，并模拟社会变迁。数值模拟及相应平均场理论的分析表明，财富和社会声誉分布形状不同的以下四个相之间存在转变：群队（band），没有经济或社会不平等；部落（tribe），有经济不平等但没有社会不平等；酋邦（chiefdom），两者都有；以及王国（kingdom），具有经济不平等和除一个离群值（即“君主”）之外的弱社会不平等。强烈不平等的涌现以幂律分布为特征，并归因于“富者愈富”过程。相比之下，缺乏这种过程时，由于随机涨落而导致指数分布。这些相取决于刻画赠礼互动频率和规模的参数。我们的发现为基于经济和社会不平等对社会组织进行分类提供了定量标准，并与人类学理论和经验观察一致。因此，我们提出了可用于实证测量的解释变量和社会组织演化的特征。这一由社会科学理论指导的建构性模型，能够为社会演化提供基本的机制性解释，并整合社会科学的各种理论。
英文摘要：
Several tiers of social organization with varying economic and social disparities have been observed. However, a quantitative characterization of the types and the causal mechanisms for the transitions have hardly been explained. While anthropologists have emphasized that gift exchange, rather than market exchange, prevails in traditional societies and shapes social relations, few mathematical studies have explored its consequences for social organizations. In this study, we present a simple model of competitive gift-giving that describes how gifts bring goods to the recipient and honor to the donor, and simulate social change. Numerical simulations and an analysis of the corresponding mean-field theory demonstrate the transitions between the following four phases with different distribution shapes of wealth and social reputation: the band, without economic or social disparities; the tribe, with economic but without social disparities; the chiefdom, with both; and the kingdom, with economic disparity and weak social disparity except for an outlier, namely, the ``monarch''. The emergence of strong disparities is characterized by power law distributions and is attributed to the ``rich get richer'' process. In contrast, the absence of such a process leads to exponential distributions due to random fluctuations. The phases depend on the parameters characterizing the frequency and scale of gift interactions. Our findings provide quantitative criteria for classifying social organizations based on economic and social disparities, consistent with anthropological theory and empirical observations. Thus, we propose empirically measurable explanatory variables and characteristics for the evolution of social organizations. The constructive model, guided by social scientific theory, can provide the basic mechanistic explanation of social evolution and integrate theories of the social sciences.
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