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On Concavity and Supermodularity

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Author Info
Massimo Marinacci
Luigi Montrucchio

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Abstract

Concavity and supermodularity are in general independent properties. A class of functionals defined on a lattice cone of a Riesz space has the Choquet property when it is the case that its members are concave whenever they are supermodular. We show that for some important Riesz spaces both the class of positively homogeneous functionals and the class of translation invariant functionals have the Choquet property. We extend in this way the results of Choquet [2] and Konig [5].

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Paper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 5.

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Length: 23 pages
Date of creation: 2006
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Handle: RePEc:cca:wpaper:5

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Related research
Keywords: Concavity Supermodularity

Find related papers by JEL classification:
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

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References listed on IDEAS
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  1. Massimo Marinacci & Luigi Montrucchio, 2003. "Ultramodular functions," ICER Working Papers - Applied Mathematics Series 13-2003, ICER - International Centre for Economic Research. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Elisa Luciano & Elena Vigna, 2006. "Non mean reverting affne processes for stochastic mortality," Carlo Alberto Notebooks 30, Collegio Carlo Alberto. [Downloadable!]
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This page was last updated on 2008-10-6.


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