### Abstract

An Arrovian social choice rule is a social welfare function satisfying independence of irrelevant alternatives and transitivity of social preference. Assume a measurable outcome space X with its (Lebesgue) measure normalized to unity. For any Arrovian rule and any fraction t, either some individual dictates over a subset of X of measure t or more, or at least a fraction 1-t of the pairs of distinct alternatives have their social ordering fixed independently of individual preferences. Also, for any positive integer β (less than the total number of individuals), there is some subset H of society consisting of all but β persons such that the fraction of outcome pairs (x, y) that are social ranked without consulting the preferences of anyone in H, whenever no individual is indifferent between x and y, is at least 1-1/4 β.

Original language | English (US) |
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Pages (from-to) | 445-459 |

Number of pages | 15 |

Journal | Economic Theory |

Volume | 5 |

Issue number | 3 |

DOIs | |

State | Published - Oct 1 1995 |

### ASJC Scopus subject areas

- Economics and Econometrics

## Fingerprint Dive into the research topics of 'Lebesgue measure and social choice trade-offs'. Together they form a unique fingerprint.

## Cite this

*Economic Theory*,

*5*(3), 445-459. https://doi.org/10.1007/BF01212328