摘要翻译：
许多最近的贸易动力学模型使用经济主体之间财富交换的简单思想，以便在主体之间获得稳定或均衡的财富分配。特别是，一个简单的类比将社会中的财富与物理系统中的能量相提并论，将主体之间的交易与碰撞中分子之间的能量交换相提并论。在物理系统中，分子间的能量交换导致能量的均分状态和熵最大的平衡状态。另一方面，在大多数交换模型中，系统收敛到一种非常不平等的凝聚状态，在这种状态下，一个或少数几个代理人集中了社会的全部财富，而绝大多数代理人分享的财富为零或几乎为零。因此，在这些经济系统中达到一个最小熵状态。我们在这里提出了一个分析模型，在这个模型中，我们研究了一类特殊的经济交换的影响，使熵最小化。通过对模型的求解，我们讨论了促使系统达到最小熵状态的条件，以及恢复某种财富均分的机制。
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英文标题：
《Entropy and equilibrium state of free market models》
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作者：
J.R. Iglesias and R.M.C. de Almeida
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最新提交年份：
2011
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分类信息：

一级分类：Quantitative Finance        数量金融学
二级分类：General Finance        一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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一级分类：Physics        物理学
二级分类：Physics and Society        物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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英文摘要：
  Many recent models of trade dynamics use the simple idea of wealth exchanges among economic agents in order to obtain a stable or equilibrium distribution of wealth among the agents. In particular, a plain analogy compares the wealth in a society with the energy in a physical system, and the trade between agents to the energy exchange between molecules during collisions. In physical systems, the energy exchange among molecules leads to a state of equipartition of the energy and to an equilibrium situation where the entropy is a maximum. On the other hand, in the majority of exchange models, the system converges to a very unequal condensed state, where one or a few agents concentrate all the wealth of the society while the wide majority of agents shares zero or almost zero fraction of the wealth. So, in those economic systems a minimum entropy state is attained. We propose here an analytical model where we investigate the effects of a particular class of economic exchanges that minimize the entropy. By solving the model we discuss the conditions that can drive the system to a state of minimum entropy, as well as the mechanisms to recover a kind of equipartition of wealth.
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PDF链接：
https://arxiv.org/pdf/1108.5725