### Abstract

It is well known that if income distribution y is majorized by income distribution x, then y can be reached from x by a succession of well-defined transfers from the rich to the poor. It is of interest to characterize special cases of such systems of transfers that are "simple" either in terms of number of transfers or of total amount transferred. Two such characterizations can be found in the economic literature. This paper provides a number of extensions and generalizations.

Original language | English (US) |
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Pages (from-to) | 201-216 |

Number of pages | 16 |

Journal | Mathematical social sciences |

Volume | 51 |

Issue number | 2 |

DOIs | |

State | Published - Mar 2006 |

### Keywords

- Income inequality
- Lorenz dominance
- Majorization
- Stochastic dominance

### ASJC Scopus subject areas

- Sociology and Political Science
- Social Sciences(all)
- Psychology(all)
- Statistics, Probability and Uncertainty

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## Cite this

Aboudi, R., & Thon, D. (2006). Refinements of Muirhead's Lemma and income inequality.

*Mathematical social sciences*,*51*(2), 201-216. https://doi.org/10.1016/j.mathsocsci.2005.09.002