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Distribution of wealth
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== Conceptual framework == There are many ways in which the distribution of wealth can be analyzed. One common-used example is to compare the amount of the wealth of individual at say 99 percentile relative to the wealth of the median (or 50th) percentile. This is P99/P50 is one of the potential [[Kuznets ratio]]s which is the inverted U shape that indicates the relationship between the inequality and the income per capita. Another common measure is the ratio of total amount of wealth in the hand of top say 1% of the wealth distribution over the total wealth in the economy. In many societies, the richest ten percent control more than half of the total wealth. The ''[[Pareto distribution|Pareto Distribution]]'' has often been used to mathematically quantify the distribution of wealth at the right tail (the wealth of the very rich); stating that the upper 20% owns 80%, the upper 4% owns 64%, the upper 0.8% owns 51.2%, etc. In fact, the tail of wealth distributions, similar to that of income distribution, behaves like a Pareto distribution but with a thicker tail. ''Wealth over people (WOP) curves'' are a visually compelling way to show the distribution of wealth in a nation. WOP curves are modified distribution of wealth curves. The vertical and horizontal scales each show percentages from zero to one hundred. We imagine all the households in a nation being sorted from richest to poorest. They are then shrunk down and lined up (richest at the left) along the horizontal scale. For any particular household, its point on the curve represents how their wealth compares (as a proportion) to the average wealth of the richest percentile. For any nation, the average wealth of the richest 1/100 of households is the topmost point on the curve (people, 1%; wealth, 100%) or (p=1, w=100) or (1, 100). In the real world two points on the WOP curve are always known before any statistics are gathered. These are the topmost point (1, 100) by definition, and the rightmost point (poorest people, lowest wealth) or (p=100, w=0) or (100, 0). This unfortunate rightmost point is given because there are always at least one percent of households (incarcerated, long term illness, etc.) with no wealth at all. Given that the topmost and rightmost points are fixed ... our interest lies in the form of the WOP curve between them. There are two extreme possible forms of the curve. The first is the "perfect communist" WOP. It is a straight line from the leftmost (maximum wealth) point horizontally across the people scale to p=99. Then it drops vertically to wealth = 0 at (p=100, w=0). The other extreme is the "perfect tyranny" form. It starts on the left at the Tyrant's maximum wealth of 100%. It then immediately drops to zero at p=2, and continues at zero horizontally across the rest of the people. That is, the tyrant and his friends (the top percentile) own all the nation's wealth. All other citizens are serfs or slaves. An obvious intermediate form is a straight line connecting the left/top point to the right/bottom point. In such a "Diagonal" society a household in the richest percentile would have just twice the wealth of a family in the median (50th) percentile. Such a society is compelling to many (especially the poor). In fact it is a comparison to a diagonal society that is the basis for the [[Gini coefficient|Gini values]] used as a measure of the disequity in a particular economy. These Gini values (40.8 in 2007) show the United States to be the third most dis-equitable economy of all the developed nations (behind Denmark and Switzerland). More sophisticated models have also been proposed.<ref>{{cite web|url=https://www.newscientist.com/article.ns?id=mg18524904.300 |title=Why it is hard to share the wealth |work=[[New Scientist]] |date=March 12, 2005 |access-date=March 26, 2012}}</ref>
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