• Continuous representations of interval orders by means of two continuous functions 

      Bosi, Gianni; Estevan Muguerza, Asier Upna Orcid (Springer, 2020)   Artículo / Artikulua  OpenAccess
      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 

      Benito Ostolaza, Juan Miguel Upna Orcid; Campión Arrastia, María Jesús Upna Orcid; Estevan Muguerza, Asier Upna Orcid (MDPI, 2021)   Artículo / Artikulua  OpenAccess
      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 

      Abrísqueta Usaola, Francisco Javier Upna; Campión Arrastia, María Jesús Upna Orcid; García Catalán, Olga Raquel Upna; Miguel Velasco, Juan Ramón de Upna Orcid; Estevan Muguerza, Asier Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Zudaire Sarobe, Margarita Upna; Agud, L.; Candeal, Juan Carlos; Díaz, S.; Martinetti, D.; Montes Rodríguez, Susana; Gutiérrez García, J. (EUSFLAT, 2012)   Artículo / Artikulua  OpenAccess
      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 

      Estevan Muguerza, Asier Upna Orcid; Miñana, Juan José; Valero, Óscar (Springer, 2019)   Artículo / Artikulua  OpenAccess
      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 

      Bosi, Gianni; Estevan Muguerza, Asier Upna Orcid; Zuanon, Magali (World Scientific, 2018)   Artículo / Artikulua  OpenAccess
      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 

      Estevan Muguerza, Asier Upna Orcid; Maura, Roberto; Valero, Óscar (MDPI, 2023)   Artículo / Artikulua  OpenAccess
      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 

      Estevan Muguerza, Asier Upna Orcid (Springer, 2020)   Capítulo de libro / Liburuen kapitulua  OpenAccess
      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 

      Estevan Muguerza, Asier Upna Orcid (Elsevier, 2023)   Artículo / Artikulua  OpenAccess
      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 

      Bosi, Gianni; Estevan Muguerza, Asier Upna Orcid; Raventós Pujol, Armajac Upna Orcid (Springer, 2020)   Artículo / Artikulua  OpenAccess
      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 ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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