Skip to Main content Skip to Navigation
Book sections

Arrow’s (im)possibility theorem

Pierre Bernhard 1 Marc Deschamps 2
1 BIOCORE - Biological control of artificial ecosystems
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique, LOV - Laboratoire d'océanographie de Villefranche
Abstract : Arrow’s (im)possibility theorem is one of the most famous and important contri- butions in economics. It concerns the difficulty to aggregate a set of individual preferences, given as rankings of a set of available alternatives, into a unique social preferences ranking via a social welfare function, or into a unique social choice. Arrow proves that in a specific framework, it is impossible to find a social welfare function which simultaneously satisfies four conditions: universal domain, weak Pareto principle, independence of irrelevant alternatives, and no dictator. Our no- tice presents this theorem, one of its proofs, and, we hope, invites the reader to discover social choice theory
Complete list of metadata

Cited literature [23 references]  Display  Hide  Download

https://hal.inria.fr/hal-01941037
Contributor : Jean-Luc Gouzé <>
Submitted on : Tuesday, December 11, 2018 - 8:27:46 AM
Last modification on : Friday, April 2, 2021 - 3:34:00 AM
Long-term archiving on: : Tuesday, March 12, 2019 - 12:11:13 PM

File

Arrow.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01941037, version 1

Citation

Pierre Bernhard, Marc Deschamps. Arrow’s (im)possibility theorem. Encyclopedia of Law and Economics, In press. ⟨hal-01941037⟩

Share

Metrics

Record views

194

Files downloads

603