El grup té una experiència de més de vint anys en el seu camp d’expertesa, la teoria de jocs i les seves aplicacions. El grup ha mantingut una línia creixent tant pel que fa a la producció científica contrastada com pel coneixement en l’àmbit. El grup és avui un referent internacional en àrees específiques com ara els sistemes de votació i els jocs cooperatius així com en les seves aplicacions: tecnològiques, econòmiques, polítiques i sociològiques.
Els seus treballs són matemàticament rigorosos i concisos, i els seus membres són bons coneixedors de l’àlgebra, la matemàtica discreta, la probabilitat, la complexitat o la computació. Nombroses situacions extretes de la vida quotidiana els han estimulat a modelitzar, simular i proposar propostes de solució o de millora.
Els seus membres comparteixen nombroses publicacions de prestigi, vetllen per la creixent internacionalització del grup, tenen cura de la formació i divulguen els seus treballs.

Research in the foundations and applications of game theory. The main theoretical lines are the following: (a) cooperative games and solution concepts; (b) collective decision-making mechanisms and power indices; (c) restrictions to cooperation; (d) multiplicity of alternatives; and (e) software. The areas of application include economics, political science, sociology, management, industrial scheduling and technologies such as cryptography and reliability.

Research in the foundations and applications of game theory. The main theoretical lines are the following: (a) cooperative games and solution concepts; (b) collective decision-making mechanisms and power indices; (c) restrictions to cooperation; (d) multiplicity of alternatives; and (e) software. The areas of application include economics, political science, sociology, management, industrial scheduling and technologies such as cryptography and reliability.

Recent Submissions

  • Exponential decay in one-dimensional Type II/III thermoelasticity with two porosities 

    Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-04-26)
    Article
    Restricted access - publisher's policy
    In this paper we consider the theory of thermoelasticity with a double porosity structure in the context of the Green-Naghdi types II and III heat conduction models. For the type II, the problem is given by four hyperbolic ...
  • Some properties for bisemivalues on bicooperative games 

    Domènech Blázquez, Margarita; Giménez Pradales, José Miguel; Puente del Campo, María Albina (2020-02-29)
    Article
    Restricted access - publisher's policy
    In this work, we focus on bicooperative games, a variation of the classic cooperative games, and investigate the conditions for the coefficients of the bisemivalues—a generalization of semivalues for cooperative games—necessary ...
  • A mathematical perspective on how test-type exams are evaluated 

    Freixas Bosch, Josep; Pons Vallès, Montserrat (2020)
    Conference report
    Restricted access - confidentiality agreement
    Typically, the test type exams with binary answers (true / false) are corrected by adding a +1 to the correct answers, a -1 to the incorrect ones and 0 to non-answered questions. This mainly obeys to a purely statistic ...
  • Coalitional power indices applied to voting systems 

    Molinero Albareda, Xavier; Blasco Ruiz, Joan (2020)
    Conference lecture
    Open Access
    We describe voting mechanisms to study voting systems. The classical power indices applied to simple games just consider parties, players or voters. Here, we also consider games with a priori unions, i.e., coalitions among ...
  • Games with multiple alternatives applied to voting systems 

    Blasco Ruiz, Joan; Molinero Albareda, Xavier (Springer, 2020-02)
    Part of book or chapter of book
    Restricted access - publisher's policy
    We describe voting mechanisms to study voting systems as well as electoral systems and parliamentary organizations. These mechanisms are base on the so-called power indices of simple games with alternatives. The classical ...
  • A value for j-cooperative games: some theoretical aspects and applications 

    Freixas Bosch, Josep (CRC Press, 2019-12-06)
    Part of book or chapter of book
    Restricted access - publisher's policy
    A value that has all the ingredients to be a generalization of the Shapley value is proposed for a large class of games called j-cooperative games which are closely related to multi-choice games. When it is restricted to ...
  • A probabilistic unified approach for power indices in simple games 

    Freixas Bosch, Josep; Pons Vallès, Montserrat (Springer, 2019-11-01)
    Part of book or chapter of book
    Restricted access - publisher's policy
    Many power indices on simple games have been defined trying to measure, under different points of view, the “a priori” importance of a voter in a collective binary voting scenario. A unified probabilistic way to define ...
  • The Banzhaf value for cooperative and simple multichoice games 

    Freixas Bosch, Josep (2020-02)
    Article
    Restricted access - publisher's policy
    This article proposes a value which can be considered an extension of the Banzhaf value for cooperative games. The proposed value is defined on the class of j-cooperative games, i.e., games in which players choose among a ...
  • Numerical analysis of a dual-phase-lag model involving two temperatures 

    Bazarra, Noelia; Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-12-27)
    Article
    Restricted access - publisher's policy
    In this paper, we numerically analyse a phase-lag model with two temperatures which arises in the heat conduction theory. The model is written as a linear partial differential equation of third order in time. The variational ...
  • A problem with viscoelastic mixtures: numerical analysis and computational experiments 

    Fernández, José Ramón; Masid, Maria; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-12-06)
    Article
    Restricted access - publisher's policy
    In this paper, we study, from the numerical point of view, a dynamic problem involving a mixture of two viscoelastic solids. The mechanical problem is written as a system of two coupled partial differential equations. Its ...
  • On the linear thermoelasticity with two porosities: numerical aspects 

    Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-10-30)
    Article
    Restricted access - publisher's policy
    In this work we analyze, from the numerical point of view, a dynamic problem involving a thermoelastic rod. Two porosities are considered: the first one is the macro-porosity, connected with the pores of the material, and ...
  • On the time decay in phase-lag thermoelasticity with two temperatures 

    Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (AMER INST MATHEMATICAL SCIENCES-AIMS, 2019-09-12)
    Article
    Open Access
    The aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive ...

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