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Based on Holler (1982) and Armijos-Toro et al. (2021) we propose two power indices to measure the influence of the players in the class of weighted majority games in partition function form. We compare these new power indices with their…

Computer Science and Game Theory · Computer Science 2024-02-12 José M. Alonso-Meijide , Livino M. Armijos-Toro , Balbina V. Casas-Méndez , Manuel A. Mosquera

Decisions in a shareholder meeting or a legislative committee are often modeled as a weighted game. Influence of a member is then measured by a power index. A large variety of different indices has been introduced in the literature. This…

Computer Science and Game Theory · Computer Science 2018-05-08 Sascha Kurz

We study the cohesion within and the coalitions between political groups in the Eighth European Parliament (2014--2019) by analyzing two entirely different aspects of the behavior of the Members of the European Parliament (MEPs) in the…

Computation and Language · Computer Science 2016-11-15 Darko Cherepnalkoski , Andreas Karpf , Igor Mozetic , Miha Grcar

In simple games, larger coalitions typically wield more power, but do all players align their efforts effectively? Consider a voting scenario where a coalition forms, but needs more voters to pass a bill. The cohesion of the new group of…

Computer Science and Game Theory · Computer Science 2025-04-08 Michele Aleandri , Marco Dall'Aglio

Ensuring legislative accountability in multi-party systems requires quantitative tools that reveal actual voting behavior beyond formal party affiliations. We present a network-based framework for analyzing parliamentary dynamics at…

Physics and Society · Physics 2026-02-05 Francesca Collu , Antonio Scala , Emilia La Nave

The recent 2013 Italian elections are over and the situation that President Napolitano will have to settle soon for the formation of the new government is not the simplest one. After twenty years of bipolarism (more or less effective),…

Physics and Society · Physics 2013-03-19 A. Pluchino , A. Rapisarda , C. Garofalo , S. Spagano , M. Caserta

Classical power index analysis considers the individual's ability to influence the aggregated group decision by changing its own vote, where all decisions and votes are assumed to be binary. In many practical applications we have more…

Computer Science and Game Theory · Computer Science 2013-12-23 Sascha Kurz

Parliaments dominated by two political blocs often face legislative inefficiencies as polarization increases. A central institutional question concerns how majority and supermajority rules interact with parliamentary composition to balance…

Physics and Society · Physics 2026-03-31 Gerardo Millar-Sáez , Ignacio Ormazábal , Hernán F. Astudillo

We study the Shapley value in weighted voting games. The Shapley value has been used as an index for measuring the power of individual agents in decision-making bodies and political organizations, where decisions are made by a majority vote…

Computer Science and Game Theory · Computer Science 2014-08-05 Joel Oren , Yuval Filmus , Yair Zick , Yoram Bachrach

Coalitional manipulation in voting is considered to be any scenario in which a group of voters decide to misrepresent their vote in order to secure an outcome they all prefer to the first outcome of the election when they vote honestly. The…

Theoretical Economics · Economics 2020-09-28 Mostapha Diss , Boris Tsvelikhovskiy

The paper considers a general model of electoral systems combining district-based elections with a compensatory mechanism in order to create any outcome between strictly majoritarian and purely proportional seat allocation. It contains vote…

Computer Science and Game Theory · Computer Science 2017-10-27 László Csató

The Council of the European Union (EU) is one of the main decision-making bodies of the EU. A number of decisions require a qualified majority, the support of 55% of the member states (currently 15) that represent at least 65% of the total…

Physics and Society · Physics 2026-04-02 Dóra Gréta Petróczy , László Csató

Electing a committee of size k from m alternatives (k < m) is an interesting problem under the multi-winner voting rules. However, very few committee selection rules found in the literature consider the coalitional possibilities among the…

Theoretical Economics · Economics 2023-08-08 Ritu Dutta , Rajnish Kumnar , Surajit Borkotokey

A general methodology to study public opinion inspired from information and complexity theories is outlined. It is based on probabilistic data extracted from opinion polls. It gives a quantitative information-theoretic explanation of high…

Applications · Statistics 2007-11-07 C. P. Panos , K. Ch. Chatzisavvas

Power indices are essential in assessing the contribution and influence of individual agents in multi-agent systems, providing crucial insights into collaborative dynamics and decision-making processes. While invaluable, traditional…

Multiagent Systems · Computer Science 2025-03-12 Benjamin Kempinski , Tal Kachman

The Penrose-Banzhaf index and the Shapley-Shubik index are the best-known and the most used tools to measure political power of voters in simple voting games. Most methods to calculate these power indices are based on counting winning…

Combinatorics · Mathematics 2009-03-16 Werner Kirsch , Jessica Langner

The roll calls of the Italian Parliament in the XVI legislature are studied by employing multidimensional scaling, hierarchical clustering, and network analysis. In order to detect changes in voting behavior, the roll calls have been…

Social and Information Networks · Computer Science 2015-08-07 A. Amelio , C. Pizzuti

This paper introduces the Myerson interaction index (MII), an extension of the Shapley interaction index to cooperative games with communication structures restricted by graphs. We establish a formal framework for interaction indices on…

Optimization and Control · Mathematics 2026-05-28 Jorge González-Ortega , Elisenda Molina , Juan Tejada

Weighted voting games are frequently used in decision making. Each voter has a weight and a proposal is accepted if the weight sum of the supporting voters exceeds a quota. One line of research is the efficient computation of so-called…

Optimization and Control · Mathematics 2012-11-28 Sascha Kurz

Coalitional voting games appear in different forms in multi-agent systems, social choice and threshold logic. In this paper, the complexity of comparison of influence between players in coalitional voting games is characterized. The…

Computer Science and Game Theory · Computer Science 2008-09-04 Haris Aziz
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