{ "id": "cond-mat/0203399", "version": "v1", "published": "2002-03-20T10:26:06.000Z", "updated": "2002-03-20T10:26:06.000Z", "title": "A New Approach to Personal Income Distribution", "authors": [ "Atushi Ishikawa", "Tadao Suzuki", "Masashi Tomoyose" ], "comment": "11 pages, 5 figures", "categories": [ "cond-mat.stat-mech", "hep-th", "q-fin.GN" ], "abstract": "The results of R^2 dynamical random surface model (2-dimensional quantum gravity with a $R^2$ term) are applied to explain the personal income distribution. A scale invariance exists if there is not the $R^2$ term in the action. The R^2 term provides a typical scale and breaks the scale invariance explicitly in the low and middle income range. A new distribution, Weibull distribution, is deduced from the action analytically in the low income range, and a consistent fitting is obtained in the whole income range. Also, we show that the lognormal distribution in the middle income range can be understood in this framework.", "revisions": [ { "version": "v1", "updated": "2002-03-20T10:26:06.000Z" } ], "analyses": { "keywords": [ "personal income distribution", "middle income range", "scale invariance", "low income range", "dynamical random surface model" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "inspire": 584424, "adsabs": "2002cond.mat..3399I" } } }