Now showing items 1-20 of 45

    • A Fibonacci sequence for linear structures with two types of components 

      Freixas Bosch, Josep; Molinero Albareda, Xavier; Roura Ferret, Salvador (2009-07-23)
      External research report
      Open Access
      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 new power index based on minimal winning coalitions 

      Freixas Bosch, Josep; Alonso Meijide, José María (2009)
      External research report
      Restricted access - author's decision
      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)
      Article
      Restricted access - author's decision
      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 ...
    • A parameterization for a class of complete games with abstention 

      Freixas Bosch, Josep; Tchantcho, Bertrand; Tsague, Bill Procès (2019-02-28)
      Article
      Open Access
      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)
      Part of book or chapter of book
      Open Access
      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)
      Part of book or chapter of book
      Open Access
      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 ...
    • Achievable hierarchies in voting games with abstention 

      Freixas Bosch, Josep; Tchantcho, Bertrand; Tedjeugang, Narcisse (Elsevier, 2014-07-01)
      Article
      Open Access
      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 ...
    • 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 ...
    • An axiomatic characterization of the potential decisiveness index 

      Freixas Bosch, Josep; Pons Navarro, Montserrat (2015-03-01)
      Article
      Open Access
      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)
      Article
      Open Access
      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 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 ...
    • Anonymous yes-no voting with abstention and multiple levels of approval 

      Freixas Bosch, Josep; Zwicker, William S. (Academic Press, 2009-11)
      Article
      Open Access
      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. ...
    • Bounds for the Nakamura number 

      Freixas Bosch, Josep; Kurz, Sascha (Springer, 2019-04)
      Article
      Open Access
      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 ...
    • 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 ...
    • Decisiveness indices are semiindices 

      Freixas Bosch, Josep; Pons Vallès, Montserrat (2016-06)
      Article
      Open Access
      In this note we prove that any decisiveness index, defined for any voter as the probability of him/her being decisive, is a semiindex when the probability distribution over coalitions is anonymous, and it is a semiindex ...
    • Decisiveness indices are semiindices: addendum 

      Freixas Bosch, Josep; Pons Vallès, Montserrat (2017-01-01)
      Article
      Open Access
      In the paper Decisiveness indices are semiindices (Freixas and Pons, 2016) it was shown that any decisiveness index obtained from an anonymous probability distribution is a semiindex, and that the converse is not true. In ...
    • Dimension, egalitarianism and decisiveness of European voting systems 

      Carreras Escobar, Francisco; Freixas Bosch, Josep; Magaña Nieto, Antonio (2016)
      Article
      Open Access
      An analysis of three major aspects has been carried out that may apply to any of the successive voting systems used for the European Union Council of Ministers, from the first one established in the Treaty of Rome in 1958 ...
    • Egalitarian property for power indices 

      Freixas Bosch, Josep; Marciniak, Dorota (Springer, 2013)
      Article
      Open Access
      In this study, we introduce and examine the Egalitarian property for some power indices on the class of simple games. This property means that after intersecting a game with a symmetric or anonymous game the difference ...
    • Enumeration of weighted games with minimum and an analysis of voting power for bipartite complete games with minimum 

      Freixas Bosch, Josep; Kurz, Sascha (2014-11)
      Article
      Open Access
      This paper is a twofold contribution. First, it contributes to the problem of enumerating some classes of simple games and in particular provides the number of weighted games with minimum and the number of weighted games ...
    • 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 ...