On Concavity and Supermodularity
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  and Konig .
|Date of creation:||2006|
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- Massimo Marinacci & Luigi Montrucchio, 2005.
Mathematics of Operations Research,
INFORMS, vol. 30(2), pages 311-332, May.
- Massimo Marinacci & Luigi Montrucchio, 2003. "Ultramodular functions," ICER Working Papers - Applied Mathematics Series 13-2003, ICER - International Centre for Economic Research.
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