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Modèles ordinaux de préférences

Author

Listed:
  • 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://shs.hal.science/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, President and Fellows of Harvard College, 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, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Indifférence non transitive; ordre d'intervalles; ordre fort; ordre quasi-fort; préférence; 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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