An alternative measure of economic inequality in the light of optics

Amlan Majumder ()
Additional contact information
Amlan Majumder: Dinhata College, West Bengal, India

No 346, Working Papers from ECINEQ, Society for the Study of Economic Inequality

Abstract: An ideal state of development, when viewed with fantasy, is nothing but a state or condition where light touches everybody without refraction. The diagonal line of the Lorenz Curve Framework represents such an ideal condition. In the presence of inequality, however, it deviates or refracts from the ideal condition. In this paper, I try to measure economic inequality from the index of refraction. First, I compute such an index for each stratum to evaluate condition in each and then add all to propose an overall measure of economic inequality, which appears to be a standardised measure of the length of the Lorenz Curve relative to that of the diagonal line. The exercise is done utilising data on distribution of income or consumption from the WDI 2014. Results are lively and remarkable. While an index value of less than 1.00 represents an `anomalous refraction' in Optics, such a condition of inequality is true and too common for many of us (60-80\%) in reality. In contrast to that, in some countries, the index of refraction of the richest group exceeds that of Diamond (2.42), where an index value of 1.00 depicts an ideal condition that is enviable. In regard to technicalities, it goes at par Gini Index and beyond. Additionally, it makes analysis of economic inequality more sensible. Presumably, the proposed index could be a good substitute of the Gini Index as it is found perfectly correlated with the latter by quadratic equation with an Adjusted R Square value of 1.00.

Keywords: Gini Index; Inequality; Lorenz Curve; Optics; Refractive Index; Snell's Law. (search for similar items in EconPapers)
JEL-codes: D31 D63 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2014-11
New Economics Papers: this item is included in nep-hpe
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.ecineq.org/milano/WP/ECINEQ2014-346.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inq:inqwps:ecineq2014-346

Access Statistics for this paper

More papers in Working Papers from ECINEQ, Society for the Study of Economic Inequality Contact information at EDIRC.
Bibliographic data for series maintained by Maria Ana Lugo ( this e-mail address is bad, please contact ).