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2022-03-06
摘要翻译:
我们从资产交换的观点来考察财富分配问题。帕累托定律在经济、意识形态和国家之间的稳健性表明,这可能是贸易策略的结果。然而,简单的资产交换模型无法再现这一特性。一个下注金额为两个玩家最小值的分数的yardsale模型导致财富在某个代理人手中的浓缩,而一个下注金额为失败者财富分数的盗窃欺诈模型导致财富的指数分布。我们证明了如果我们允许很少的Agent遵循不同的模型,即有一些Agent遵循TF模型,而其余Agent遵循YS模型,则会导致具有幂律尾的分布。当一个人用TF模型对一小部分财富进行交易,而对其余部分使用YS模型时,也会观察到类似的效果。如果我们允许代理人以一定的概率遵循这两个模型中的任何一个,我们还观察到财富分配中的幂律尾。
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英文标题:
《Emergence of Power Law in a Market with Mixed Models》
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作者:
M. Ali Saif and Prashant M. Gade
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最新提交年份:
2009
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分类信息:

一级分类:Quantitative Finance        数量金融学
二级分类:Trading and Market Microstructure        交易与市场微观结构
分类描述:Market microstructure, liquidity, exchange and auction design, automated trading, agent-based modeling and market-making
市场微观结构,流动性,交易和拍卖设计,自动化交易,基于代理的建模和做市
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英文摘要:
  We investigate the problem of wealth distribution from the viewpoint of asset exchange. Robust nature of Pareto's law across economies, ideologies and nations suggests that this could be an outcome of trading strategies. However, the simple asset exchange models fail to reproduce this feature. A yardsale(YS) model in which amount put on the bet is a fraction of minimum of the two players leads to condensation of wealth in hands of some agent while theft and fraud(TF) model in which the amount to be exchanged is a fraction of loser's wealth leads to an exponential distribution of wealth. We show that if we allow few agents to follow a different model than others, {\it i.e.} there are some agents following TF model while rest follow YS model, it leads to distribution with power law tails. Similar effect is observed when one carries out transactions for a fraction of one's wealth using TF model and for the rest YS model is used. We also observe a power law tail in wealth distribution if we allow the agents to follow either of the models with some probability.
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PDF链接:
https://arxiv.org/pdf/0902.2065
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