摘要翻译：
我们研究了少数人博弈中底层连接网络的结构。主体之间没有明确的交互作用，但它们通过模型的全局大小并主要通过它们的策略进行交互作用。我们通过量化两个Agent策略之间的相似性来定义两个Agent之间的链接，并分析了在每个玩家使用两个策略的博弈中，所得到的底层复杂网络的结构与博弈中Agent数量和Agent内存值的函数关系。对于这个链路定义，我们用具有不同性质的网络来刻画这个系统的不同阶段。因此，以人群存在为特征的少数博弈阶段可以用小世界网络来识别，而随机决策博弈阶段的结果与随机决策博弈阶段的结果相同。最后，我们利用全策略少数博弈模型，在相同链路定义下，显式地计算了少数博弈网络的一些性质，如度分布，并由此估计了少数博弈网络的性质，得到了与实测性质很好的一致性。
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英文标题：
《The underlying complex network of the Minority Game》
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作者：
Ines Caridi and Horacio Ceva
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最新提交年份：
2008
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分类信息：

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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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We study the structure of the underlying network of connections in the Minority Game. There is not an explicit interaction among the agents, but they interact via global magnitudes of the model and mainly through their strategies. We define a link between two agents by quantifying the similarity among their strategies, and analyze the structure of the resulting underlying complex networks as a function of the number of agents in the game and the value of the agents' memory, in games with two strategies per player. We characterize the different phases of this system with networks with different properties, for this link definition. Thus, the Minority Game phase characterized by the presence of crowds can be identified with a small world network, while the phase with the same results as a random decision game as a random network. Finally, we use the Full Strategy Minority Game model, to explicitly calculate some properties of its networks, such as the degree distribution, for the same link definition, and to estimate, from them, the properties of the networks of the Minority Game, obtaining a very good agreement with its measured properties.
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PDF链接：
https://arxiv.org/pdf/802.0672