• Achievable hierarchies in voting games with abstention 

    Freixas Bosch, Josep; Tchantcho, Bertrand; Tedjeugang, Narcisse (Elsevier, 2014-07-01)
    Artículo
    Acceso abierto
    It is well known that he influence relation orders the voters the same way as the classical Banzhaf and Shapley-Shubik indices do when they are extended to the voting games with abstention (VGA) in the class of complete ...
  • A Fibonacci sequence for linear structures with two types of components 

    Freixas Bosch, Josep; Molinero Albareda, Xavier; Roura Ferret, Salvador (2009-07-23)
    Report de recerca
    Acceso abierto
    We investigate binary voting systems with two types of voters and a hierarchy among the members in each type, so that members in one class have more influence or importance than members in the other class. The purpose ...
  • A mathematical perspective on how test-type exams are evaluated 

    Freixas Bosch, Josep; Pons Vallès, Montserrat (2020)
    Texto en actas de congreso
    Acceso restringido por acuerdo de confidencialidad
    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 ...
  • Amplitude of weighted majority game strict representations 

    Freixas Bosch, Josep; Puente del Campo, María Albina (Institut d'Estadística de Catalunya, 1999)
    Artículo
    Acceso abierto
    Some real situations which may be described as weighted majority games can be modified when some players increase or decrease their weights and/or the quota is modified. Nevertheless, some of these modifications do not ...
  • An axiomatic characterization of the potential decisiveness index 

    Freixas Bosch, Josep; Pons Navarro, Montserrat (2015-03-01)
    Artículo
    Acceso abierto
    Let us consider that somebody is extremely interested in increasing the probability of a proposal to be approved by a certain committee and that to achieve this goal he/she is prepared to pay off one member of the committee. ...
  • An axiomatization for two power indices for (3,2)-simple games 

    Bernardi, Giulia; Freixas Bosch, Josep (2019-01-01)
    Artículo
    Acceso abierto
    The aim of this work is to give a characterization of the Shapley–Shubik and the Banzhaf power indices for (3,2)-simple games. We generalize to the set of (3,2)-simple games the classical axioms for power indices on simple ...
  • An equivalent formulation for the Shapley value 

    Freixas Bosch, Josep (Springer, 2018-12-30)
    Capítulo de libro
    Acceso abierto
    An equivalent explicit formula for the Shapley value is provided, its equivalence with the classical one is proven by double induction. The importance of this new formula, in contrast to the classical one, is its capability ...
  • A new power index based on minimal winning coalitions 

    Freixas Bosch, Josep; Alonso Meijide, José María (2009)
    Report de recerca
    Acceso restringido por decisión del autor
    Nou índex de poder basat en coalicions shift-minimals
  • A new power index based on minimal winning coalitions without any surplus 

    Alonso Meijide, José María; Freixas Bosch, Josep (2010-04)
    Artículo
    Acceso restringido por decisión del autor
    In this paper we propose a new power index useful for the evaluation of each member in a committee, or democratic institution, and the degree of influence over the voting decision making system. The proposed solution is ...
  • Anonymous yes-no voting with abstention and multiple levels of approval 

    Freixas Bosch, Josep; Zwicker, William S. (Academic Press, 2009-11)
    Artículo
    Acceso abierto
    Els jocs simples simètrics (3, 2) serveixen de models per a sistemes de votació anònims en els quals cada votant pot votar "sí", abstenir-se, o votar "no", el resultat és "sí" o "no", i els votants juguen papers intercanviables. ...
  • A note about decisive symmetric games 

    Puente del Campo, María Albina; Freixas Bosch, Josep; Carreras Escobar, Francisco (2009-04)
    Comunicación de congreso
    Acceso restringido por decisión del autor
    S'estudien diverses funcions relacionades amb la presa de decisions en jocs simples. L'anàlisi es restringeix a jocs de decisió simètrics i la seva composició i es dóna per suposat que tots els jugadors comparteixen els ...
  • A note on decisive symmetric games 

    Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente del Campo, María Albina (2011)
    Artículo
    Acceso restringido por política de la editorial
    Binary voting systems, usually represented by simple games, constitute a main DSS topic. A crucial feature of such a system is the easiness with which a proposal can be collectively accepted, which is measured by ...
  • A parameterization for a class of complete games with abstention 

    Freixas Bosch, Josep; Tchantcho, Bertrand; Proces Tsague, Bill (2019-02-28)
    Artículo
    Acceso restringido por política de la editorial
    Voting games with abstention are voting systems in which players can cast not only yes and no vote, but are allowed to abstain. This paper centers on the structure of a class of complete games with abstention. We obtain, ...
  • A probabilistic unified approach for power indices in simple games 

    Freixas Bosch, Josep; Pons Vallès, Montserrat (Springer, 2019-11-01)
    Capítulo de libro
    Acceso restringido por política de la editorial
    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 ...
  • A value for j-cooperative games: some theoretical aspects and applications 

    Freixas Bosch, Josep (CRC Press, 2019-12-06)
    Capítulo de libro
    Acceso restringido por política de la editorial
    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 ...
  • Bounds for the Nakamura number 

    Freixas Bosch, Josep; Kurz, Sascha (Springer, 2019-04)
    Artículo
    Acceso abierto
    The Nakamura number is an appropriate invariant of a simple game to study the existence of social equilibria and the possibility of cycles. For symmetric (quota) games its number can be obtained by an easy formula. For ...
  • Complete voting systems with two types of voters: weightedness and counting 

    Freixas Bosch, Josep; Molinero Albareda, Xavier; Roura Ferret, Salvador (2012)
    Artículo
    Acceso restringido por decisión del autor
    We investigate voting systems with two classes of voters, for which there is a hierarchy giving each member of the stronger class more influence or important than each member of the weaker class. We deduce for voting systems ...
  • Components with higher and lower risk in a reliability system 

    Freixas Bosch, Josep; Pons Vallès, Montserrat (Fundación Mapfre, 2015)
    Texto en actas de congreso
    Acceso abierto
    A new reliability importance measure for components in a system, that we call Representativeness measure, is introduced. It evaluates to which extent the performance of a component is representative of the erformance of ...
  • Computation of several power indices by generating functions 

    Alonso Meijide, José María; Freixas Bosch, Josep; Molinero Albareda, Xavier (2012)
    Artículo
    Acceso abierto
    In this paper we propose methods to compute the Deegan-Packel, the Public Good, and the Shift power indices by generating functions for the particular case of weighted voting games. Furthermore, we define a new power ...
  • Consecutive expansions of k-out-of-n structures 

    Freixas Bosch, Josep; Puente del Campo, María Albina (2009)
    Report de recerca
    Acceso restringido por decisión del autor
    Estudi dels sistemes obtinguts per expansions succesives