8 citations · 25 across the 7 of their papers we have counts for
7 papers
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…
Intergenerational Preferences and Continuity: Reconciling Order and Topology
Asier Estevan, Roberto Maura, Oscar Valero
In this paper we focus our efforts on studying how a preorder and topology can be made compatible. Thus we provide a characterization of those that are continuous-compatible. Such…
A Mathematical Approach to Law and Deal Modelling: Legislation and Agreements
Jon Benito-Ostolaza, María Jesús Campión, Asier Estevan
This paper presents a new and original first approach to agreement situations as well as to regulations constructions. This is made by giving a mathematical formalization to the se…
On fixed point theory in partially ordered sets and an application to asymptotic complexity of algorithms
Asier Estevan, Juan-José Minãna, Oscar Valero
The celebrated Kleene fixed point theorem is crucial in the mathematical modelling of recursive specifications in Denotational Semantics. In this paper we discuss whether the hypot…
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…
Debreu's open gap lemma for semiorders
A. Estevan
The problem of finding a (continuous) utility function for a semiorder has been studied since in 1956 R.D. Luce introduced in \emph{Econometrica} the notion. There was almost no re…