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Modèles ordinaux de préférences

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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.

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Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b05097.

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Length: 18 pages
Date of creation: Dec 2005
Handle: RePEc:mse:wpsorb:b05097
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  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.
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