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

  • On the enumeration of bipartite simple games 

    Freixas Bosch, Josep; Samaniego Vidal, Daniel (2021-07-15)
    Article
    Restricted access - publisher's policy
    This paper provides a classification of all monotonic bipartite simple games. The problem we deal with is very versatile since simple games are inequivalent monotonic Boolean functions, functions that are used in many ...
  • An extension and an alternative characterization of May’s theorem 

    Freixas Bosch, Josep; Pons Vallès, Montserrat (Springer, 2021-03-14)
    Article
    Restricted access - publisher's policy
    The context of this work is a voting scenario in which each voter expresses his/her level of affinity about a proposal, by choosing a value in the set J={-j,…,-1,0,1,…,j}, and these individual votes produce a collective ...
  • An appropriate way to extend the Banzhaf index for multiple levels of approval 

    Freixas Bosch, Josep; Pons Vallès, Montserrat (Springer Nature, 2021-01-03)
    Article
    Restricted access - publisher's policy
    The Banzhaf power index for games admits several extensions if the players have more than two ordered voting options. In this paper we prove that the most intu-itive and recognized extension ...
  • On the enumeration of Boolean functions with distinguished variables 

    Freixas Bosch, Josep (Springer Nature, 2020-11-18)
    Article
    Restricted access - publisher's policy
    Boolean functions have a fundamental role in neural networks and machine learning. Enumerating these functions and significant subclasses is a highly complex problem. Therefore, it is of interest to study subclasses that ...
  • A characterization of weighted simple games based on pseudoweightings 

    Freixas Bosch, Josep (2020-09-14)
    Article
    Restricted access - publisher's policy
    The paper provides a new characterization of weighted games within the class of simple games. It is based on a stronger form of the point-set-additive pseudoweighting property of simple games. The characterization obtained ...
  • Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids 

    Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (2020-12-15)
    Article
    Restricted access - publisher's policy
    In this note we study the problem proposed by the one-dimensional thermo-porous-elasticity of type II with quasi-static microvoids or, in mathematical terms, when the second time derivative of the volume fraction is so ...
  • A poro-thermoelastic problem with dissipative heat conduction 

    Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-18)
    Article
    Restricted access - publisher's policy
    In this work, we study from the mathematical and numerical points of view a poro-thermoelastic problem. A long-term memory is assumed on the heat equation. Under some assumptions on the constitutive tensors, the resulting ...
  • Exponential decay in one-dimensional Type II/III thermoelasticity with two porosities 

    Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-30)
    Article
    Open Access
    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
    Open Access
    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 ...

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