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1 LIMOS - Laboratoire d-Informatique, de Modélisation et d-optimisation des Systèmes 2 RMIT - System Modelling and Optimization 3 Management Science

Abstract : Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferential is proposed. Then generalised monotonicity is considered. A representation of generalised monotone maps allows to obtain a symmetry between maps and their inverses. Finally, maximality of generalised monotone maps is analysed.

Keywords : Generalised convexity generalised monotonicity maximality cyclic properties revealed preferences axioms

Author: Jean-Pierre Crouzeix - Andrew Eberhard - Daniel Ralph -

Source: https://hal.archives-ouvertes.fr/


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