{"title":"收入分配中的一些普遍模式:一种经济物理学方法","authors":"Anwar Shaikh, Amr Ragab","doi":"10.1111/meca.12412","DOIUrl":null,"url":null,"abstract":"<p>The econophysics “two-class” approach yields a novel theoretical and empirically robust relation: The per capita income <math>\n <semantics>\n <mrow>\n <mover>\n <mi>y</mi>\n <mo>‾</mo>\n </mover>\n <mrow>\n <mo>(</mo>\n <mi>x</mi>\n <mo>)</mo>\n </mrow>\n </mrow>\n <annotation> $\\overline{y}(x)$</annotation>\n </semantics></math> of <i>any</i> bottom fraction (<i>x</i>) of the population equals a(<i>x</i>)∙(1−<i>G</i>) <math>\n <semantics>\n <mrow>\n <mover>\n <mi>y</mi>\n <mo>‾</mo>\n </mover>\n </mrow>\n <annotation> $\\overline{y}$</annotation>\n </semantics></math>, where <i>a</i>(<i>x</i>) is a coupling coefficient, <i>G</i> the Gini, and <math>\n <semantics>\n <mrow>\n <mover>\n <mi>y</mi>\n <mo>‾</mo>\n </mover>\n </mrow>\n <annotation> $\\overline{y}$</annotation>\n </semantics></math> is national per capita income. For the bottom 70%, <i>a</i>(70) = 1, which yields the Sen inequality adjustment to the 1993 UNDP Human Development Index, without any reliance on social welfare functions. Alternately, <i>a</i>(80) = 1.1 yields the bottom 80% per capita income (Vast Majority Income). We propose the latter as a new inequality-adjusted measure of wellbeing.</p>","PeriodicalId":46885,"journal":{"name":"Metroeconomica","volume":"74 1","pages":"248-264"},"PeriodicalIF":1.0000,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some universal patterns in income distribution: An econophysics approach\",\"authors\":\"Anwar Shaikh, Amr Ragab\",\"doi\":\"10.1111/meca.12412\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The econophysics “two-class” approach yields a novel theoretical and empirically robust relation: The per capita income <math>\\n <semantics>\\n <mrow>\\n <mover>\\n <mi>y</mi>\\n <mo>‾</mo>\\n </mover>\\n <mrow>\\n <mo>(</mo>\\n <mi>x</mi>\\n <mo>)</mo>\\n </mrow>\\n </mrow>\\n <annotation> $\\\\overline{y}(x)$</annotation>\\n </semantics></math> of <i>any</i> bottom fraction (<i>x</i>) of the population equals a(<i>x</i>)∙(1−<i>G</i>) <math>\\n <semantics>\\n <mrow>\\n <mover>\\n <mi>y</mi>\\n <mo>‾</mo>\\n </mover>\\n </mrow>\\n <annotation> $\\\\overline{y}$</annotation>\\n </semantics></math>, where <i>a</i>(<i>x</i>) is a coupling coefficient, <i>G</i> the Gini, and <math>\\n <semantics>\\n <mrow>\\n <mover>\\n <mi>y</mi>\\n <mo>‾</mo>\\n </mover>\\n </mrow>\\n <annotation> $\\\\overline{y}$</annotation>\\n </semantics></math> is national per capita income. For the bottom 70%, <i>a</i>(70) = 1, which yields the Sen inequality adjustment to the 1993 UNDP Human Development Index, without any reliance on social welfare functions. Alternately, <i>a</i>(80) = 1.1 yields the bottom 80% per capita income (Vast Majority Income). We propose the latter as a new inequality-adjusted measure of wellbeing.</p>\",\"PeriodicalId\":46885,\"journal\":{\"name\":\"Metroeconomica\",\"volume\":\"74 1\",\"pages\":\"248-264\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Metroeconomica\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1111/meca.12412\",\"RegionNum\":3,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Metroeconomica","FirstCategoryId":"96","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/meca.12412","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
Some universal patterns in income distribution: An econophysics approach
The econophysics “two-class” approach yields a novel theoretical and empirically robust relation: The per capita income of any bottom fraction (x) of the population equals a(x)∙(1−G) , where a(x) is a coupling coefficient, G the Gini, and is national per capita income. For the bottom 70%, a(70) = 1, which yields the Sen inequality adjustment to the 1993 UNDP Human Development Index, without any reliance on social welfare functions. Alternately, a(80) = 1.1 yields the bottom 80% per capita income (Vast Majority Income). We propose the latter as a new inequality-adjusted measure of wellbeing.
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