Now showing items 1-20 of 89

    • A characterization of weighted simple games based on pseudoweightings 

      Freixas Bosch, Josep (2020-09-14)
      Article
      Open Access
      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 ...
    • 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 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 ...
    • 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 note about decisive symmetric games 

      Puente del Campo, María Albina; Freixas Bosch, Josep; Carreras Escobar, Francisco (2009-04)
      Conference lecture
      Restricted access - author's decision
      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)
      Article
      Restricted access - publisher's policy
      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; 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 ...
    • Amplitude of weighted majority game strict representations 

      Freixas Bosch, Josep; Puente del Campo, María Albina (Institut d'Estadística de Catalunya, 1999)
      Article
      Open Access
      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 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 equivalent formulation for the Shapley value 

      Freixas Bosch, Josep (Springer, 2018-12-30)
      Part of book or chapter of book
      Open Access
      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 ...
    • 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 ...
    • Complete voting systems with two types of voters: weightedness and counting 

      Freixas Bosch, Josep; Molinero Albareda, Xavier; Roura Ferret, Salvador (2012)
      Article
      Restricted access - author's decision
      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 ...