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  • Partnership formation and multinomial values

     Giménez Pradales, José Miguel; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina
    Discrete applied mathematics
    Vol. 170, p. 7-20
    DOI: 10.1016/j.dam.2014.01.018
    Date of publication: 2014-06-19
    Journal article

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    We use multinomial values to study the effects of the partnership formation in cooperative games, comparing the joint effect on the involved players with the alternative alliance formation. The simple game case is especially considered and the application to the Catalonia Parliament (Legislature 2003-2007) is also studied.

    We use multinomial values to study the effects of the partnership formation in cooperative games, comparing the joint effect on the involved players with the alternative alliance formation. The simple game case is especially considered and the application to the Catalonia Parliament (Legislature 2003-2007) is also studied.

  • Modified multilinear extensions for generalized mixed semivalues

     Puente Del Campo, Mª Albina; Giménez Pradales, José Miguel
    Spain-Italy-Netherlands Meeting on Game Theory
    p. 80-81
    Presentation's date: 2014-07-08
    Presentation of work at congresses

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  • TEORIA DE JUEGOS: FUNDAMENTOS MATEMÁTICOS Y APLICACIONES

     Amer Ramon, Rafael; Carreras Escobar, Francisco; Freixas Bosch, Josep; Giménez Pradales, José Miguel; Llongueras Arola, Maria Dolors; Magaña Nieto, Antonio; Molinero Albareda, Xavier; Pons Vallès, Montserrat; Puente Del Campo, Mª Albina; Sales Ingles, Vicente
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  • Cooperation tendencies in games with a coalition structure

     Puente Del Campo, Mª Albina; Carreras Escobar, Francisco
    Congreso Nacional de Estadística e Investigación Operativa y Jornadas de Estadística Pública
    p. 130-131
    Presentation's date: 2013-09-11
    Presentation of work at congresses

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  • Cooperation tendencies and evaluation of games

     Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    International Conference on Enterprise International Systems
    p. 397-404
    Presentation's date: 2013-07-04
    Presentation of work at congresses

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    Multinomial probabilistic values were first introduced by one of us in reliability and later on by the other, independently, as power indices. Here we study them on cooperative games from several viewpoints, and especially as a powerful generalization of binomial semivalues. We establish a dimensional comparison between multinomial values and binomial semivalues and provide two characterizations within the class of probabilistic values: one for each multinomial value and another for the whole family. An example illustrates their use in practice as power indices.

    Multinomial probabilistic values were first introduced by one of us in reliability and later on by the other, independently, as power indices. Here we study them on cooperative games from several viewpoints, and especially as a powerful generalization of binomial semivalues. We establish a dimensional comparison between multinomial values and binomial semivalues and provide two characterizations within the class of probabilistic values: one for each multinomial value and another for the whole family. An example illustrates their use in practice as power indices.

  • A model for players' tendencies when playing a cooperative game

     Puente Del Campo, Mª Albina; Carreras Escobar, Francisco
    European Conference on Operational Research
    p. 60
    Presentation's date: 2012-07-09
    Presentation of work at congresses

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    We present the theory for multibinary probabilistic values on cooperative games. As they are defined by tendency profiles, new tools are provided to encompass situations due to the influence of players' personality when playing a given game. When the profile is positive, the multilinear extension is a potential function and gives a computational tool. We also adapt to these values some properties, concerning null and nonnull players, balanced contributions, dominance and monotonicity, and regularity arises as a convenient condition. The subject falls within the topic of restricted cooperation.

  • Symmetric coalitional binomial semivalues

     Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    Group decision and negotiation
    Vol. 21, num. 5, p. 637-662
    DOI: 10.1007/s10726-011-9239-5
    Date of publication: 2011-03-01
    Journal article

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    We introduce here a family of mixed coalitional values. They extend the binomial semivalues to games endowed with a coalition structure, satisfy the property of symmetry in the quotient game and the quotient game property, generalize the symmetric coalitional Banzhaf value introduced by Alonso and Fiestras and link and merge the Shapley value and the binomial semivalues. A computational procedure in terms of the multilinear extension of the original game is also provided and an application to political science is sketched

    We introduce here a family of mixed coalitional values. They extend the binomial semivalues to games endowed with a coalition structure, satisfy the property of symmetry in the quotient game and the quotient game property, generalize the symmetric coalitional Banzhaf value introduced by Alonso and Fiestras and link and merge the Shapley value and the binomial semivalues. A computational procedure in terms of the multilinear extension of the original game is also provided and an application to political science is sketched

  • A note on decisive symmetric games

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Decision support systems
    Vol. 51, num. 3, p. 424-433
    DOI: 10.1016/j.dss.2010.10.005
    Date of publication: 2011
    Journal article

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    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 the “decisiveness index” of the corresponding game. We study here several functions related to the decisiveness of any simple game. The analysis, including the asymptotic behavior as the number n of players increases, is restricted to decisive symmetric games and their compositions, and it is assumed that all players have a common probability p to vote for the proposal. We show that, for n large enough, a small variation, either positive or negative, in p when p=1/2 takes the decisiveness to quickly approach, respectively, 1 or 0. Moreover, we analyze the speed of the decisiveness convergence.

  • One parameter per player: a class of balanced probabilistic values

     Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    Date: 2011-05
    Report

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  • Exercicis de matemàtiques I

     Puente Del Campo, Mª Albina; Pons Vallès, Montserrat
    Date of publication: 2011-03-01
    Book

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  • Decisiveness of decisive symmetric games

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Date: 2011-04-08
    Report

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  • Access to the full text
    Symmetric coalitional binomial semivalues  Open access

     Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    Date: 2011-02-02
    Report

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    We introduce here a family of mixed coalitional values. they extend the binomial semivalues to games endowed with a coalition structure, satisfy the property of symmetry in the quotidient game and the quotient game property, generalize the symmetric coalitional Banzhaf value introduced by Alonso and Fiestras and link and merge the shapley value and the binomial semivalues. A computational procedure in terms of the multilinear extension of the original game is also provided and an application to political science is sketched.

    Reseach supported by Grant SGR 2009-01029 of the Catalonia Government (Generalitat de Catalunya) and Frants MTM 2006-06064 and MTM 2009-08037 of the Science and Innovation Spanish Ministry and the European Regional Development Fund.

  • Qüestionaris i tasques com a eines d'autoaprenentatge i avaluació a l'entorn de l'EEES.  Open access

     Domenech Blazquez, Margarita; Molina Hernandez, M. Antonia; Puente Del Campo, Mª Albina
    Dia Atenea
    p. 1-5
    Presentation's date: 2011-06-14
    Presentation of work at congresses

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    En aquest treball pretenem exposar la utilització de les eines del Campus Atenea corresponent a l'experiència obtinguda en les assignatures: Matemàtiques I de Q1 dels graus d'industrials i mines on s'avalua la competència transversal d'aprenentatge autònom de nivell 1 i Matemàtiques III de Q3 dels graus d'industrials on s'avalua la mateixa competència de nivell 2. Bàsicament hem implantat l'ús generalitzat de qüestionaris i tasques com a eines d'autoprenentatge i d'avaluació continuada, tant a nivell de grup com individual, així com l'ús del Campus per afavorir la interacció i la comunicació professor-alumne i entre els estudiants.

  • Multibinary probabilistic values

     Puente Del Campo, Mª Albina; Carreras Escobar, Francisco
    Spanish-Italian-Netherlands Meeting on Game Theory
    p. 64
    Presentation's date: 2011-07-19
    Presentation of work at congresses

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  • Structural importance measures on consecutive expansions of k-out-of-n systems

     Puente Del Campo, Mª Albina; Freixas Bosch, Josep
    International Conference on Applied Stochastic Models and Data Analysis
    p. 465
    Presentation's date: 2011-06-09
    Presentation of work at congresses

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  • TEORÍA DE JUEGOS Y SISTEMAS DE DECISIÓN COLECTIVA CON APLICACIONES TECNOLÓGICAS, ECONÓMICAS, POLÍTICAS Y SOCIOLÓGICAS

     Freixas Bosch, Josep; Amer Ramon, Rafael; Carreras Escobar, Francisco; Giménez Pradales, José Miguel; Llongueras Arola, Maria Dolors; Molinero Albareda, Xavier; Pons Vallès, Montserrat; Puente Del Campo, Mª Albina; Sales Ingles, Vicente; Magaña Nieto, Antonio
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  • On the generalized decisiveness of decisive symmetric games

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Congreso Nacional de Estadística e Investigación Operativa
    p. 1-18
    Presentation's date: 2010-09-17
    Presentation of work at congresses

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  • Access to the full text
    Consecutive expansions of k-out-of-n systems  Open access

     Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Operations research letters
    Vol. 6, num. 37, p. 438-442
    DOI: 10.1016/j.orl.2009.09.004
    Date of publication: 2009-11
    Journal article

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    S'introdueixen expansions de sistemes k-out-of-n. Es proposen algunes fórmules per fer més fàcil de comptabilitzar aquestes mesures i estudiar-ne les jerarquies.

  • Grup de Recerca en Teoría de Jocs

     Amer Ramon, Rafael; Freixas Bosch, Josep; Giménez Pradales, José Miguel; Llongueras Arola, Maria Dolors; Magaña Nieto, Antonio; Pons Vallès, Montserrat; Puente Del Campo, Mª Albina; Sales Ingles, Vicente; Carreras Escobar, Francisco
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  • Consecutive expansions of k-out-of-n structures

     Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Date: 2009
    Report

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    Estudi dels sistemes obtinguts per expansions succesives

  • 2009 SGR 1029-Grup de recerca de teoria de jocs (L-00411)

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Giménez Pradales, José Miguel; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina; Amer Ramon, Rafael; Magaña Nieto, Antonio; Sales Ingles, Vicente; Pons Vallès, Montserrat
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  • A note about decisive symmetric games

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    International workshop:new topics on Game Theory
    p. 20
    Presentation's date: 2009-04
    Presentation of work at congresses

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    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 mateixos objectius pels quals ells competeixen.

  • Reliability of self-dual k-out-of-n systems

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    International Congress on Mathematical Physics
    p. 70-
    Presentation's date: 2009-08-03
    Presentation of work at congresses

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  • Exercicis de càlcul amb solució

     Domenech Blazquez, Margarita; Molina Hernandez, M. Antonia; Puente Del Campo, Mª Albina
    Date of publication: 2009-01
    Book

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  • Partnership formation and binomial semivalues

     Carreras Escobar, Francisco; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina
    European journal of operational research
    Vol. 192, num. 2, p. 487-499
    Date of publication: 2009-01
    Journal article

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  • Dimension of complete simple games with minimum

     Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    European journal of operational research
    Vol. 188, num. 2, p. 555-568
    DOI: 10.1016/j.ejor.2007.03.050
    Date of publication: 2008-07
    Journal article

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    Weighted majority games have the property that players are totally ordered by the desirability relation (introduced by Isbell in [J.R. Isbell, A class of majority games, Quarterly Journal of Mathematics, 7 (1956) 183¿187]) because weights induce it. Games for which this relation is total are called complete simple games. Taylor and Zwicker proved in [A.D. Taylor, W.S. Zwicker, Weighted voting, multicameral representation, and power, Games and Economic Behavior 5 (1993) 170¿181] that every simple game (or monotonic finite hypergraph) can be represented by an intersection of weighted majority games and consider the dimension of a game as the needed minimum number of them to get it. They provide the existence of non-complete simple games of every dimension and left open the problem for complete simple games. In this paper we prove that their result can be extended for these games and give a constructive procedure to get complete simple games of every dimension. The curious fact is that to obtain our result it is enough to consider the simplest kind of complete simple games, i.e. those that admit a minimum lattice representative. As a consequence, it is proved that there is no connection between `having small dimension¿ and `being totally ordered by the desirability relation¿.

  • On the reliability of the self-dual k-out-of-n systems

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Technometrics
    Vol. 50, num. 1, p. 79-85
    DOI: 10.1198/004017007000000137
    Date of publication: 2008-02
    Journal article

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    Here we consider a class of k-out-of-n systems and study the variation of their reliability under different assumptions. We show that a way to achieve highly reliable self-dual k-out-of-n systems is to maintain the reliability of the components at a level of performance above 1/2. We extend our asymptotic results to systems with multiple self-dual k-out-of-n subsystems.

  • On the decisiveness of a class of simple games

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Date: 2008
    Report

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  • Structural importance measures for complete expansion of k-out-of-n systems

     Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Congreso Nacional de Estadística e Investigación Operativa
    p. 139
    Presentation's date: 2007
    Presentation of work at congresses

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  • Symmetric coalitional binomial semivalues: axiomatic foundation

     Alonso Meijide, José María; Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    Congreso Nacional de Estadística e Investigación Operativa
    p. 76-91
    Presentation's date: 2007
    Presentation of work at congresses

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  • Partnerships in politics: a case study

     Carreras Escobar, Francisco; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina
    Homo oeconomicus
    Vol. 24, num. 3/4, p. 469-484
    Date of publication: 2007-12
    Journal article

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  • Axiomatic characterizations of the symmetric coalitional binomial semivalues

     Alonso Meijide, José María; Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    Discrete applied mathematics
    Vol. 155, num. 17, p. 2282-2293
    DOI: 10.1016/j.dam.2007.06.007
    Date of publication: 2007-10
    Journal article

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  • About the reliability of the self-dual k-out-of-n systems

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Date: 2007-12
    Report

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  • On the dimension of complete simple games with minimum

     Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Date: 2007
    Report

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  • A note about self-dual K-out-of-N systems

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    6th International Congress on Industrial and Applied Mathematics
    p. 443
    Presentation's date: 2007
    Presentation of work at congresses

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  • A parametric family of mixed coalitional values

     Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    DOI: 10.1007/3-540-28258-0_20
    Date of publication: 2006-01
    Book chapter

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  • Algunas aportaciones de la teoría de juegos

     Freixas Bosch, Josep; Pons, M; Puente Del Campo, Mª Albina
    Date of publication: 2006-10
    Book chapter

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  • On the convenience of keeping components at a level greater than one half

     Freixas Bosch, Josep; Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    Date of publication: 2006-10
    Book chapter

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  • Juegos cooperativos y conflictos de intereses. Teoría y práctica

     Carreras Escobar, Francisco; Llongueras Arola, Maria Dolors; Magaña Nieto, Antonio; Giménez Pradales, José Miguel; Puente Del Campo, Mª Albina; Freixas Bosch, Josep; Pons Navarro, Montserrat; Sales Zaragoza, Vicente
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  • On the convenience of keeping the component reliability at a level greater than one half

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Date: 2006
    Report

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  • Partnership strategy in coalitional formation

     Carreras Escobar, Francisco; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina
    II Spain Italy Netherlands Meeting on Game Theory and XVI Italian Meeting on Game Theory and Applications (SING 2 and XVI IMGTA)
    p. 36
    Presentation's date: 2006
    Presentation of work at congresses

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  • On the convenience of keeping components at a level greater than one half

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    Congreso Nacional de Estadística e Investigación Operativa
    p. 551-552
    Presentation's date: 2006-05-16
    Presentation of work at congresses

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  • On the convenience of keeping the component reliability at a level greater than one half

     Carreras Escobar, Francisco; Freixas Bosch, Josep; Puente Del Campo, Mª Albina
    European Safety and Reliability Conference 2006
    p. 1577-1581
    Presentation's date: 2006
    Presentation of work at congresses

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  • Algunes aportacions a la teoria de jocs

     Freixas Bosch, Josep; Pons Vallès, Montserrat; Puente Del Campo, Mª Albina
    Jornada de Recerca EPSEM 2006
    p. 31-32
    Presentation's date: 2006-04-20
    Presentation of work at congresses

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  • Partnership formation and binomial semivalues

     Carreras Escobar, Francisco; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina
    Congreso Nacional de Estadística e Investigación Operativa
    p. 1026-1037
    Presentation's date: 2006
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  • Coalition formation and partnerships in the catalonia parliament

     Carreras Escobar, Francisco; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina
    Congreso Nacional de Estadística e Investigación Operativa
    p. 213-225
    Presentation's date: 2006
    Presentation of work at congresses

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  • Political partnerships

     Carreras Escobar, Francisco; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina
    Date: 2006
    Report

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  • Partnership formation and binomial semivalues

     Carreras Escobar, Francisco; Llongueras Arola, Maria Dolors; Puente Del Campo, Mª Albina
    Date: 2006
    Report

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  • Grup de recerca en teoria de jocs

     Giménez Pradales, José Miguel; Carreras Escobar, Francisco; Puente Del Campo, Mª Albina; Freixas Bosch, Josep
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  • A parametrized family of mixed coalitional values

     Carreras Escobar, Francisco; Puente Del Campo, Mª Albina
    Fourth International Conference on Logic, Game Theory and Social Choice
    p. 1-17
    Presentation's date: 2005
    Presentation of work at congresses

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