Discontinuous Transformations and Lorenz Curves
نویسنده
چکیده
In this study we reconsider the effect of variable transformations on the redistribution of income. Under the assumption that the theorems should hold for all income distributions, earlier given conditions are both necessary and sufficient. Different versions of the conditions are compared. We also consider the consequences if we drop the explicit continuity restriction on the transformations. One main result is that continuity is a necessary condition if one pursues that the income inequality should remain or be reduced. In our earlier studies concerning tax policies the assumption that differentiable transformations satisfying a derivative condition could be reduced to transformations satisfying only a continuity condition. Mathematics Subject Classification: D63, H20, H21
منابع مشابه
Parametric Lorenz Curves and its Relationship with Reliability Indicators
The problem of poverty can not be considered without paying care to the topic of income distribution. In fact, the concept of poverty refers to the lowest class in the distribution of income, and inequality in the income distribution is related to all stages of society. Based on the income distributions that are unfairly priced, many indices have been developed to measure the size of inequality...
متن کاملTsallis Maximum Entropy Lorenz Curves
In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as $beta$ tends to one. Finally, by using ac...
متن کاملTransfer Policies with Discontinuous Lorenz Curves
In earlier papers, classes of transfer policies have been studied and maximal and minimal Lorenz curves ( ) L p obtained. In addition, there are policies belonging to the class with given Gini indices or passing through given points in the ( ) p L , plane. In general, a transformation ( ) h x describing a realistic transfer policy has to be continuous. In this paper the results are generalized ...
متن کاملBifurcation analysis and dynamics of a Lorenz –type dynamical system
./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcati...
متن کاملRanking intersecting Lorenz curves
Ranking Intersecting Lorenz Curves This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations two alternative sequences of nested dominance criteria between Lorenz curves are introduced. At ...
متن کامل