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Modèles ordinaux de préférences

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  • Bernard Monjardet

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

Dans ce texte à visée didactique on présente les principaux modèles d'ordres utilisés pour représenter les préférences d'un sujet sur un ensemble fini de biens de nature variée. On part du modèle d'ordre fort correspondant au cas où la préférence est représentée par une fonction d'utilité numérique, modèle qui implique que la relation d'indifférence du sujet est transitive. Les modèles d'ordre quasi-fort et d'ordre d'intervalles permettent de ne plus supposer l'indifférence transitive, tout en conservant des propriétés de représentation numériques avec l'introduction de seuils. Des résultats sur la caractérisation et la représentation numérique des relations de Ferrers, relations qui généralisent les relations d'ordres précédentes, permettent d'obtenir simplement les résultats sur ces relations d'ordres. Des compléments d'ordre historique ou mathématique sont proposés au lecteur.

Suggested Citation

  • Bernard Monjardet, 2005. "Modèles ordinaux de préférences," Post-Print halshs-00173791, HAL.
  • Handle: RePEc:hal:journl:halshs-00173791
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00173791
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    References listed on IDEAS

    as
    1. N. Georgescu-Roegen, 1936. "The Pure Theory of Consumers Behavior," The Quarterly Journal of Economics, Oxford University Press, vol. 50(4), pages 545-593.
    2. Fuad Aleskerov & Denis Bouyssou & Bernard Monjardet, 2007. "Utility Maximization, Choice and Preference," Springer Books, Springer, edition 0, number 978-3-540-34183-3, April.
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    More about this item

    Keywords

    préférence; ordre quasi-fort; ordre fort; ordre d'intervalles; Indifférence non transitive; relation de Ferrers;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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