英文标题:
《Accumulation of individual fitness or wealth as a population game》
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作者:
Sylvain Gibaud, Jorgen W. Weibull
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最新提交年份:
2021
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英文摘要:
  The accumulation of individual fitness or wealth is modelled as a population game in which pairs of individuals are recurrently and randomly matched to play a game over a resource. In addition, all individuals have random access to a constant background resource, and their fitness or wealth depreciates over time. For brevity we focus on the well-known Hawk-Dove game. In the base-line model, the probability of winning a fight (that is, when both play Hawk) is the same for both parties. In an extended version, the individual with higher current fitness or wealth has a higher probability of winning. Analytical results are given for the fitness/wealth distribution at any given time, for the evolution of average fitness/wealth over time, and for the asymptotics with respect to time and population size. Long-run average fitness/wealth is non-monotonic in the value of the resource, thus providing a potential explanation of the curse of the riches. 
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中文摘要:
个人健康或财富的积累被建模为一个群体博弈,在该博弈中,成对的个人被重复和随机匹配,以在资源上玩一个博弈。此外,所有个人都可以随机获得固定的背景资源,他们的健康或财富会随着时间的推移而贬值。为简洁起见,我们将重点介绍著名的鹰鸽游戏。在基线模型中,双方赢得一场战斗的概率(即双方都玩鹰牌)是相同的。在扩展版本中,当前健康状况或财富较高的个人获胜概率较高。给出了任意给定时间的适应度/财富分布、平均适应度/财富随时间的演化以及关于时间和人口规模的渐近性的分析结果。长期平均健康/财富在资源价值上是非单调的,因此提供了财富诅咒的潜在解释。
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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: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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