Browsing by Author "Freixas Bosch, Josep"
Now showing items 1-20 of 98
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A characterization of weighted simple games based on pseudoweightings
(2020-09-14)
Article
Open AccessThe 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 critical analysis on the notion of power
(Springer, 2021-08-12)
Article
Open AccessIn this paper we discuss on several ways to extend power indices defined on simple games to the context of (j, 2)-games, i.e., games with 2 possible outputs and j possible input levels. The purpose of this paper is more ... -
A Fibonacci sequence for linear structures with two types of components
(2009-07-23)
Research report
Open AccessWe 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
(2020)
Conference report
Restricted access - confidentiality agreementTypically, 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
(2009)
Research report
Restricted access - author's decisionNou índex de poder basat en coalicions shift-minimals -
A new power index based on minimal winning coalitions without any surplus
(2010-04)
Article
Restricted access - author's decisionIn 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
(2009-04)
Conference lecture
Restricted access - author's decisionS'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
(2011)
Article
Restricted access - publisher's policyBinary 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
(2019-02-28)
Article
Open AccessVoting 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
(Springer, 2019-11-01)
Part of book or chapter of book
Open AccessMany 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
(CRC Press, 2019-12-06)
Part of book or chapter of book
Open AccessA 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
(Elsevier, 2014-07-01)
Article
Open AccessIt 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 ... -
All power structures are achievable in basic weighted games
(Springer, 2023-04-09)
Part of book or chapter of book
Restricted access - publisher's policyA major problem in decision making is designing voting systems that are as simple as possible and able to reflect a given hierarchy of power of its members. It is known that in the class of weighted games all hierarchies ... -
Amplitude of weighted majority game strict representations
(Institut d'Estadística de Catalunya, 1999)
Article
Open AccessSome 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 aggregation rule based on the binomial distribution
(Multidisciplinary Digital Publishing Institute (MDPI), 2022-11-23)
Article
Open AccessMany decision-making situations require the evaluation of several voters or agents. In a situation where voters evaluate candidates, the question arises of how best to aggregate evaluations so as to compare the candidates. ... -
An aggregation rule under uncertainty
(2023)
Conference report
Restricted access - publisher's policyMany decision-making situations require the evaluation of several agents or judges. In a situation where agents evaluate candidates, the question arises of how best to aggregate evaluations so as to compare the candidates. ... -
An appropriate way to extend the Banzhaf index for multiple levels of approval
(Springer Nature, 2021-01-03)
Article
Open AccessThe 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
(2015-03-01)
Article
Open AccessLet 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
(2019-01-01)
Article
Open AccessThe 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
(Springer, 2018-12-30)
Part of book or chapter of book
Open AccessAn 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 ...
