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Weakening The Strong Convexity Of Preferences


  • Christophe Muller

    () (Universidad de Alicante)


In general models, the strong quasi-concavity of the objective function, sufficient for theoretical properties of demands in consumer theory, is often arbitrary. Then, weaker global concavity conditions that preserve such properties are desirable for such models. We propose a new global concavity condition that implies, for models with several nonlinear constraints: the local uniqueness and the smoothness of the decision functions, and the negativity of the generalised substitution matrix. This condition can be used to specify more general and more flexible economic models.

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  • Christophe Muller, 2005. "Weakening The Strong Convexity Of Preferences," Working Papers. Serie AD 2005-36, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2005-36

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    References listed on IDEAS

    1. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    2. Joseph E. Harrington & Jr., 1999. "Rigidity of Social Systems," Journal of Political Economy, University of Chicago Press, vol. 107(1), pages 40-64, February.
    3. Hvide, Hans K. & Kristiansen, Eirik G., 2003. "Risk taking in selection contests," Games and Economic Behavior, Elsevier, vol. 42(1), pages 172-179, January.
    4. Harrington, Joseph E, Jr, 1998. "The Social Selection of Flexible and Rigid Agents," American Economic Review, American Economic Association, vol. 88(1), pages 63-82, March.
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    Programming Models; Consumer Economics: Theory; Household Production;

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