### Citations

678 |
Essays in the Theory of Risk-Bearing
- Arrow
- 1970
(Show Context)
Citation Context ...ution f*(y)saccording to criterion (1) for all U(y) (U’ > 0, U” < 0) if and only ifsss’ [F(Y) - F*(y)] dy < 0 for all z, o<z<ys0sandsF(Y) f F*(Y) for some y, (3swhere F(y) = J:f(x) dx.sThis condition =-=(2)-=- provides the answer to our question, but as it standssit is very difficult to interpret. It can, however, easily be shown to have asstraightforward interpretation in terms of the familiar Lorenz curv... |

384 | Risk aversion - Pratt - 1964 |

260 |
Rules for Ordering Uncertain Prospects,”
- Hadar, Russell
- 1969
(Show Context)
Citation Context ...dy. (3)sIf we now compare the Lorenz curves for two distributionsf( y) and f *( y)sat a point F = F(y,) = F*( yl*), thens= - ~:‘;F(Y) - F*(y)) dvs3 See Rothschild and Stiglitz [13], Hadar and Russell =-=[5]-=-, and Hanoch and Levy [6].sMEASUREMENT OF INEQUALITY 247sApplying the first mean-value theorem, the second term is positive, so thatsit follows that condition (2) implies that the Lorenz curve corresp... |

164 |
quantitative aspects of the economic growth of nations: VIII,
- Kuznets
- 1963
(Show Context)
Citation Context ...NsTo illustrate the points made in the previous section about the conven-stional summary measures and the use of the equally distributed equivalentsmeasure, I have taken the data collected by Kuznets =-=[8]-=- covering thesdistribution of income in seven advanced and five developing countries.sThis data has been used by both sides in the recent controversy as toswhether incomes are more unequally distribut... |

142 | The optimal production of social justice, in: - Kolm - 1969 |

99 |
The efficiency analysis of choices involving risk.
- Hanoch, Levy
- 1969
(Show Context)
Citation Context ... the Lorenz curves for two distributionsf( y) and f *( y)sat a point F = F(y,) = F*( yl*), thens= - ~:‘;F(Y) - F*(y)) dvs3 See Rothschild and Stiglitz [13], Hadar and Russell [5], and Hanoch and Levy =-=[6]-=-.sMEASUREMENT OF INEQUALITY 247sApplying the first mean-value theorem, the second term is positive, so thatsit follows that condition (2) implies that the Lorenz curve correspondingsto f(y) will lie e... |

18 | A theorem on the measurement of inequality - Newbery - 1970 |

16 |
On the measurement of income inequality
- Schutz
- 1951
(Show Context)
Citation Context ...on with income y1 - h is given bysV’( y1 - h) - V’( yJ. In the case of the coefficient of variation, this wouldsbe constant for all y1 . The effect of a transfer would be independent of thesI2 Schutz =-=[14]-=- also argued that the relative mean deviation is preferable to the Giniscoefficient. He pointed out that ‘the shape of the Lorenz curve may be infinitely variedswithout any change in the Gini coeffici... |

16 |
The Economics of Inheritance.
- Wedgwood
- 1939
(Show Context)
Citation Context ...anysdisincentive effect of income taxation-and with the benefits from alter-snative economic measures. Finally, it should be clear that the concept ofs6 Dalton’s approach has been applied by Wedgwood =-=[15]-=-, who calculated that insthe case of the logarithmic function the level of welfare associated with the actualsdistribution of income in Great Britain in 1919-1920 was only 77 % of what it wouldshave b... |

6 |
The measurement of the inequality of incomes, Econ
- Dalton
- 1920
(Show Context)
Citation Context ...ly depends on c. So that although two peoplesmight agree that the social welfare function should be logarithmic-andshence agree on the ranking of distributions-their measures of inequalitys6 See Ref. =-=[3]-=-, p. 350.s250 ATKINSONswould only coincide if they agreed also about the value of c. For thissreason, the measure suggested by Dalton is not very useful.”sWe can, however, obtain a measure of inequali... |

4 |
New income inequality measures as efficient tools for causal analysis and planning
- Elteto, Frigyes
- 1968
(Show Context)
Citation Context ...spreferred for all strictly concave utility functions (and has a lower Giniscoefficient). This view is not, however, shared by two recent supporters ofsthe relative mean deviation-altetii and Frigyes =-=[4]-=-. In their article, thesesauthors put forward three measures which are simple transforms of thesrelative mean deviation and argue that these are preferable to the Giniscoefficient. They suggest, in pa... |

2 |
A social welfare view of the measurement of income inequality” Revue of Income Wealth
- Aigner, Heins
- 1976
(Show Context)
Citation Context ...point we can draw on recent work on the econom-sically unrelated but formally similar problem of decision-making undersuncertainty. As should be quite clear, ranking income distributionssaccording to =-=(1)-=- is formally identical to ranking probability distributionssf(u) according to expected utility, and the assumption that U(y) issconcave is equivalent to assuming that a person is risk averse. Since th... |

1 |
The equality of incomes in
- RANADNE
- 1965
(Show Context)
Citation Context ...alton suggestedsthat “in most practical cases” the measures would in fact give the samesranking, so that we could rely on the “corroboration of several.” However,sas the work of Yntema [16], Ranadive =-=[12]-=- and others has demonstrated,sthis expectation is not borne out and in practice the measures give quitesdifferent rankings. Much of the early literature was in fact concerned withsthe problem of choos... |

1 |
Increasing Risk: A Definition and its Econo- mic Consequences,” Cowles Foundation Discussion Paper 275
- ROTHSCHILD, STIGLITZ
- 1969
(Show Context)
Citation Context ...this would be an additively separable and symmetrics1 My interest in the question of measuring inequality was originally stimulated bysreading an early version of the paper by Rothschild and Stiglitz =-=[13]-=-, to which I owesa great deal.s244sMEASUREMENT OF INEQUALITY 245sfunction of individual incomes, then we would rank distributions accordingsto2sMy main concern in this paper is to explore the implicat... |

1 |
Measures of inequality in the personal distribution of income or wealth
- YNTEMA
- 1933
(Show Context)
Citation Context ...ng results.ll Dalton suggestedsthat “in most practical cases” the measures would in fact give the samesranking, so that we could rely on the “corroboration of several.” However,sas the work of Yntema =-=[16]-=-, Ranadive [12] and others has demonstrated,sthis expectation is not borne out and in practice the measures give quitesdifferent rankings. Much of the early literature was in fact concerned withsthe p... |