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A Class of Convex Preferences Without Concave Representation

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  • Monteiro, Paulo Klinger

Abstract

I show that continuous convex preference relations that have affine indifference curves do not have a concave representation if there are two indifference curves that are not parallel. In other words a preference relation with affine indifference curves that has a concave representation has a linear utility representation.

Suggested Citation

  • Monteiro, Paulo Klinger, 2010. "A Class of Convex Preferences Without Concave Representation," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 64(1), March.
    • Handle: RePEc:fgv:epgrbe:v:64:y:2010:i:1:a:1540
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    1. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
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    Cited by:

    1. Reny, Philip J., 2013. "A simple proof of the nonconcavifiability of functions with linear not-all-parallel contour sets," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 506-508.

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