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This article examines the sensitivity of the demand of elderly people for care with respect to the supply. Based on a theoretical model, we estimated the probability of choosing a care arrangement using a multinomial model and data from the “Capacités, Aides et Ressources des Seniors” surveys. Theoretical out-of-pockets and densities are estimated for each alternative and individual in order to evaluate the effect of these two determinants on the decision to use a specific care arrangement. This article reveals that the choices are constrained by the out-of-pocket, the variety and the quantity of care supply, but that their effect is limited.