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Complete characterization of Yannelis-Zame and Chichilnisky-Kalman-Mas-Colell properness conditions on preferences for separable concave functions defined in $L^{p}_{+}.$ and Lp (*)

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  • Cuong Le Van

    (CNRS-CEPREMAP, 140 rue du Chevaleret, F-75013 Paris, FRANCE)

Abstract

Properness of preferences are useful for proving existences of an equilibrium and of supporting prices in Banach Lattices. In this paper we characterize completely properness and uniform properness for separable concave functions defined in $L^{p}_{+}.$ We prove also that every separable concave function which is well-defined in $L^{p}$ is automatically continuous.

Suggested Citation

  • Cuong Le Van, 1996. "Complete characterization of Yannelis-Zame and Chichilnisky-Kalman-Mas-Colell properness conditions on preferences for separable concave functions defined in $L^{p}_{+}.$ and Lp (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 155-166.
    • Handle: RePEc:spr:joecth:v:8:y:1996:i:1:p:155-166
    Note: Received: September 20, 1994; revised version April 20, 1995
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    Cited by:

    1. Cuong Van & Raouf Boucekkine & Cagri Saglam, 2007. "Optimal Control in Infinite Horizon Problems: A Sobolev Space Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 497-509, September.
    2. Le Van, Cuong & Truong Xuan, Duc Ha, 2001. "Asset market equilibrium in Lp spaces with separable utilities," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 241-254, December.
    3. Aliprantis, Charalambos D., 1997. "Separable utility functions," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 415-444, November.
    4. Aliprantis, Charalambos D. & Monteiro, Paulo K. & Tourky, Rabee, 2004. "Non-marketed options, non-existence of equilibria, and non-linear prices," Journal of Economic Theory, Elsevier, vol. 114(2), pages 345-357, February.

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