优惠双边交易模型中的加权贸易网络
Weighted Trade Network in a Model of Preferential Bipartite Transactions
摘要:
使用模型的财富分布,交易者的特点是淬火随机储蓄倾向和贸易之间的双边交易,我们模仿的增强率的交易的富人通过引入优先选择规则,使用一对连续可调参数。双边贸易定义了一个由相互贸易关系联系在一起的贸易商组成的不断增长的贸易网络。优先选择规则,该网络似乎是高度异构的无标度的节点度和链接的权重分布的特点,并提出了非平凡的强度度相关性的签名。详细的数值模拟和使用有限尺寸的尺度分析,我们提出的证据表明,相关的临界指数的调谐参数的连续函数。然而,对于调整参数的所有正值,财富分布都严格遵循众所周知的帕累托定律。
英文摘要:
Using a model of wealth distribution where traders are characterized by quenched random saving propensities and trade among themselves by bipartite transactions, we mimic the enhanced rates of trading of the rich by introducing the preferential selection rule using a pair of continuously tunable parameters. The bipartite trading defines a growing trade network of traders linked by their mutual trade relationships. With the preferential selection rule this network appears to be highly heterogeneous characterized by the scale-free nodal degree and the link weight distributions and presents signatures of non-trivial strength-degree correlations. With detailed numerical simulations and using finite-size scaling analysis we present evidence that the associated critical exponents are continuous functions of the tuning parameters. However the wealth distribution has been observed to follow the well-known Pareto law robustly for all positive values of the tuning parameters.
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