Listar por autor UPNA "Estevan Muguerza, Asier"
Mostrando ítems 1-9 de 9
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Continuous representations of interval orders by means of two continuous functions
In this paper, we provide a characterization of the existence of a representation of an interval order on a topological space in the general case by means of a pair of continuous functions, when neither the functions nor ... -
A mathematical approach to law and deal modelling: legislation and agreements
Social norms are a set of rules to be followed by the people of a community in order to have a better coexistence, to which the behaviors, tasks, and activities of the human being must be adjusted. The set or system of ... -
New trends on the numerical representability of semiordered structures
We introduce a survey, including the historical background, on di erent techniques that have recently been issued in the search for a characterization of the representability of semiordered structures, in the sense of ... -
On fixed point theory in partially ordered sets and an application to asymptotic complexity of algorithms
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 hypothesis of the aforementioned result can be ... -
Partial representations of orderings
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 tries to represent the orderings in the ... -
Quasi-metrics for possibility results: intergenerational preferences and continuity
In this paper, we provide the counterparts of a few celebrated impossibility theorems for continuous social intergenerational preferences according to P. Diamond, L.G. Svensson and T. Sakai. In particular, we give a topology ... -
Searching for a Debreu’s open gap lemma for semiorders
In 1956 R. D. Luce introduced the notion of a semiorder to deal with indifference relations in the representation of a preference. During several years the problem of finding a utility function was studied until a ... -
Semiorders and continuous Scott–Suppes representations. Debreu’s Open Gap Lemma with a threshold
The problem of finding a utility function for a semiorder has been studied since 1956, when the notion of semiorder was introduced by Luce. But few results on continuity and no result like Debreu’s Open Gap Lemma, but for ... -
Topologies for semicontinuous Richter–Peleg multi-utilities
The present paper gives a topological solution to representability problems related to multi-utility, in the field of Decision Theory. Necessary and sufficient topologies for the existence of a semicontinuous and finite ...