Success and decisiveness on proper symmetric games

Freixas, Josep; Pons, Montserrat

doi:10.1007/s10100-013-0332-5

Cited by 5 publications

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References 19 publications

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“…By using this technique we obtain new characterizations of these indices which simplifies their computation. We also analyze their properties and inter-relations, and we compare the rankings they induce on the set of voters, extending to more general voting contexts the comparative study of success and decisiveness done in (Freixas and Pons, 2015) for proper symmetric voting rules under independent and anonymous distributions. Other probabilistic power indices, i.e., power indices in assessed simple games, have been studied by using the MLE (Carreras, 2004(Carreras, , 2005Freixas andPons, 2005, 2008) but, as far as we know, the treatment of success, decisiveness and luckiness indices by using the MLE is novel and allows us to study new properties concerning these three indices: ordinal equivalence, egalitarianism and coherency with the strength of the seats.…”

Section: Introductionmentioning

confidence: 99%

Using the Multilinear Extension to Study Some Probabilistic Power Indices

Freixas

Pons

2016

Group Decis Negot

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We consider binary voting systems modeled by a simple game, in which voters vote independently of each other, and the probability distribution over coalitions is known. The Owen's multilinear extension of the simple game is used to improve the use and the computation of three indices defined in this model: the decisiveness index, which is an extension of the Banzhaf index, the success index, which is an extension of the Rae index, and the luckiness index. This approach leads us to prove new properties and interrelations between these indices. In particular it is proved that the ordinal equivalence between success and decisiveness indices is achieved in any game if and only if the probability distribution is anonymous. In the anonymous case, the egalitarianism of the three indices is compared, and it is also proved that, for these distributions, decisiveness and success indices respect the strength of the seats, whereas luckiness reverses this order.

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Section: Introductionmentioning

confidence: 99%

Using the Multilinear Extension to Study Some Probabilistic Power Indices

Freixas

Pons

2016

Group Decis Negot

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“…However, having a risky buyer might increase borrowing capacity and welfare. Freixas and Pons (2013) study the possible rankings of success and decisiveness for individuals in symmetric voting systems, assuming anonymous and independent probability distributions. They prove that for any pair of symmetric voting systems it is always possible to rank success and decisiveness in opposite order if the common probability of voting for "acceptance" is high enough.…”

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Kóczy

Pintér

2015

Cent Eur J Oper Res

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Part of this issue is devoted to selected papers of the SING 8 conference that took place in Budapest from 16th and 18th of July, 2012 at Corvinus University, Budapest. SING stands for the series of Spain-Italy-Netherlands Game Theory Meetings held annually since 2005. These events were initiated by Italian and Spanish game theorists in 2001, Netherlands joined in 2005. Its mission is to provide a forum for the advancement of game theory, to share new ideas and research findings in all aspects of game theory and its applications. Since its inception, these conferences have been open for game theorists from other countries and have grown more and more popular drawing participants from all over the world. Part of this process is that countries other than the founders were granted the privilege of hosting the conference as guest organizers. In 2012, after France and Poland, Hungary was the host country and Corvinus University, Budapest provided the venue.The conference attracted around 200 participants with speakers from 34 countries. The 5 plenary talks and the 150 presentations given in 4 parallel sessions covered the whole spectrum of game theory, a healthy mix of non-cooperative and cooperative games, and a wide range of interesting and innovative applications.Thanks are due to the editors of Central European Journal of Operations Research to offer its pages for publishing a selected set of papers based on the talks given at SING 8. We have received numerous high quality submissions, but the tight editing deadlines of the special issue allowed us only to accept 5 of these papers, some others may be published in regular issues of CEJOR later.B Miklós Pintér miklos.pinter@uni-corvinus.hu

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Spatial power indices with applications on real voting data from the Chamber of Deputies of the Czech Parliament

Mielcová

2015

Cent Eur J Oper Res

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Success and decisiveness on proper symmetric games

Cited by 5 publications

References 19 publications

Using the Multilinear Extension to Study Some Probabilistic Power Indices

Using the Multilinear Extension to Study Some Probabilistic Power Indices

Editorial

Spatial power indices with applications on real voting data from the Chamber of Deputies of the Czech Parliament

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