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Limiting value of the Kolkata index for social inequality and a possible social constant
Physica A: Statistical Mechanics and its Applications ( IF 3.3 ) Pub Date : 2021-03-24 , DOI: 10.1016/j.physa.2021.125944
Asim Ghosh , Bikas K. Chakrabarti

Based on some analytic structural properties of the Gini and Kolkata indices for social inequality, as obtained from a generic form of the Lorenz function, we make a conjecture that the limiting (effective saturation) value of the above-mentioned indices is about 0.865. This, together with some more new observations on the citation statistics of individual authors (including Nobel laureates), suggests that about 14% of people or papers or social conflicts tend to earn or attract or cause about 86% of wealth or citations or deaths respectively in very competitive situations in markets, universities or wars. This is a modified form of the (more than a) century old 8020 law of Pareto in economy (not visible today because of various welfare and other strategies) and gives an universal value (0.86) of social (inequality) constant or number.



中文翻译:

加尔各答指数对社会不平等和可能的社会常数的极限值

根据从Lorenz函数的一般形式获得的基尼和加尔各答社会不平等指数的某些分析结构性质,我们可以推测上述指数的极限(有效饱和)值约为0.865。这与对个别作者(包括诺贝尔奖获得者)的引文统计的更多新观察结果表明,大约14%的人或论文或社会冲突倾向于分别赚取或吸引或引起大约86%的财富,引文或死亡。在市场,大学或战争中竞争激烈的情况下。这是(一个多世纪)以来的一种修改形式80--20日 帕累托在经济中的定律(由于各种福利和其他策略而在今天不可见),并给出了社会(不平等)常数或数字的普遍值(0.86)。

更新日期:2021-04-08
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