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Arrow’s (im)possibility theorem

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  • Pierre Bernhard

    (BIOCORE - Biological control of artificial ecosystems - CRISAM - Inria Sophia Antipolis - Méditerranée - Inria - Institut National de Recherche en Informatique et en Automatique - INRA - Institut National de la Recherche Agronomique - LOV - Laboratoire d'océanographie de Villefranche - INSU - CNRS - Institut national des sciences de l'Univers - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique - IMEV - Institut de la Mer de Villefranche - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique)

  • Marc Deschamps

    (CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE])

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

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  • Pierre Bernhard & Marc Deschamps, 2018. "Arrow’s (im)possibility theorem," Post-Print hal-01941037, HAL.
  • Handle: RePEc:hal:journl:hal-01941037
    Note: View the original document on HAL open archive server: https://inria.hal.science/hal-01941037
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    References listed on IDEAS

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