8 citations · 21 across the 5 of their papers we have counts for
5 papers
New characterizations of completely useful topologies in mathematical utility theory
Gianni Bosi, Roberto Daris, Gabriele Sbaiz
Let be an arbitrary set. Then a topology on is said to be completely useful if every upper semicontinuous linear (total) preorder on can be represented b…
Continuous Representations of Preferences by Means of Two Continuous Functions
Gianni Bosi, Asier Estevan
Let be a reflexive binary relation on a topological space . A pair of continuous real-valued functions on is said to be a {\em continuous repres…
A topological study for the existence of lower-semicontinuous Richter-Peleg multi-utilities
Gianni Bosi, Asier Estevan, Armajac Raventós
In the present paper we study necessary and sufficient conditions for the existence of a semicontinuous and finite Richter-Peleg multi-utility for a preorder. It is well know that,…
Partial representations of orderings
Gianni Bosi, Asier Estevan, Magali Zuanon
In the present paper a new concept of representability is introduced, which can be applied to not total and also to intransitive relations (semiorders in particular). This idea tri…
Sublinear and continuous order-preserving functions for noncomplete preorders
Gianni Bosi, Magali E. Zuanon
We characterize the existence of a nonnegative, sublinear and continuous order-preserving function for a not necessarily complete preorder on a real convex cone in an arbitrary top…