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The outcomes of democratic elections rest on individuals' decision-making that is driven by their varying preferences and beliefs. Individuals may prefer consensus to gridlock, or gridlock to consensus, and information may be fractured via…

Physics and Society · Physics 2024-10-29 Jonathan Engle , Bryce Morsky

We experimentally study voter turnout in two-tier elections when the electorate consists of multiple groups, such as states. Votes are aggregated within the groups by the winner-take-all rule or the proportional rule, and the group-level…

General Economics · Economics 2024-08-19 Yoichi Hizen , Kazuya Kikuchi , Yukio Koriyama , Takehito Masuda

Impartial selection problems are concerned with the selection of one or more agents from a set based on mutual nominations from within the set. To avoid strategic nominations of the agents, the axiom of impartiality requires that the…

Computer Science and Game Theory · Computer Science 2024-10-01 Javier Cembrano , Max Klimm , Arturo Merino

We consider the approval-based model of elections, and undertake a computational study of voting rules which select committees whose size is not predetermined. While voting rules that output committees with a predetermined number of winning…

Computer Science and Game Theory · Computer Science 2017-11-20 Piotr Faliszewski , Arkadii Slinko , Nimrod Talmon

Cone distribution functions from statistics are turned into Multi-Criteria Decision Making tools. It is demonstrated that this procedure can be considered as an upgrade of the weighted sum scalarization insofar as it absorbs a whole…

Artificial Intelligence · Computer Science 2024-01-17 Andreas H Hamel , Daniel Kostner

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

By incorporating a multilayer network and time-decaying memory into the original voter model, the coupled effects of spatial and temporal cumulation of peer pressure on consensus are investigated. Heterogeneity in peer pressure and…

Physics and Society · Physics 2016-05-25 Li-Xin Zhong , Wen-Juan Xu , Rong-Da Chen , Chen-Yang Zhong , Tian Qiu , Yong-Dong Shi , Li-Liang Wang

Markov decision processes (MDPs) with multi-dimensional weights are useful to analyze systems with multiple objectives that may be conflicting and require the analysis of trade-offs. We study the complexity of percentile queries in such…

Logic in Computer Science · Computer Science 2016-12-08 Mickael Randour , Jean-François Raskin , Ocan Sankur

Proportional representation (PR) is one of the central principles in voting. Elegant rules with compelling PR axiomatic properties have the potential to be adopted for several important collective decision making settings. I survey some…

Computer Science and Game Theory · Computer Science 2018-02-06 Haris Aziz

Boolean functions and their representation through logics, circuits, machine learning classifiers, or binary decision diagrams (BDDs) play a central role in the design and analysis of computing systems. Quantifying the relative impact of…

Computer Science and Game Theory · Computer Science 2023-05-16 Hans Harder , Simon Jantsch , Christel Baier , Clemens Dubslaff

What role do non-elected bureaucrats play when elections provide imperfect accountability and create incentives for pandering? We develop a model where politicians and bureaucrats interact to implement policy. Both can either be good,…

General Economics · Economics 2025-10-03 Simon Lodato , Christos Mavridis , Federico Vaccari

This paper proposes a grey interval relation TOPSIS for the decision making in which all of the attribute weights and attribute values are given by the interval grey numbers. The feature of our method different from other grey relation…

Artificial Intelligence · Computer Science 2012-07-12 Gol Kim

In certain bodies, like the Council of the EU, the member states have a voting weight which depends on the population of the re- spective state. In this article we ask the question which voting weight guarantees a `fair' representation of…

Probability · Mathematics 2007-05-23 Werner Kirsch

Consensus plays a crucial role in distributed ledger systems, impacting both scalability and decentralization. Many blockchain systems use a weighted lottery based on a scarce resource such as a stake, storage, memory, or computing power to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Grigorii Melnikov , Sebastian Müller , Nikita Polyanskii , Yury Yanovich

In many cases, recommendations are consumed by groups of users rather than individuals. In this paper, we present a system which recommends social events to groups. The system helps groups to organize a joint activity and collectively…

Human-Computer Interaction · Computer Science 2014-03-26 Stratis Ioannidis , S. Muthukrishnan , Jinyun Yan

How often will elections end in landslides? What is the probability for a head-to-head race? Analyzing ballot results from several large countries rather anomalous and yet unexplained distributions have been observed. We identify tactical…

Physics and Society · Physics 2010-09-17 Nuno A. M. Araújo , José S. Andrade , Hans J. Herrmann

In the impartial selection problem, a subset of agents up to a fixed size $k$ among a group of $n$ is to be chosen based on votes cast by the agents themselves. A selection mechanism is impartial if no agent can influence its own chance of…

Computer Science and Game Theory · Computer Science 2024-08-06 Javier Cembrano , Svenja M. Griesbach , Maximilian J. Stahlberg

We study a two-alternative voting game where voters' preferences depend on an unobservable world state and each voter receives a private signal correlated to the true world state. We consider the collective decision when voters can…

Computer Science and Game Theory · Computer Science 2024-10-11 Xiaotie Deng , Biaoshuai Tao , Ying Wang

This paper proposes a multiple-membership generalized linear mixed model for ranking college football teams using only their win/loss records. The model results in an intractable, high-dimensional integral due to the random effects…

Applications · Statistics 2014-04-01 Andrew T. Karl

A recent work by Hern\'andez et al. introduced a networked voting rule supported by a trust-based social network, where indications of possible representatives were based on individuals opinions. Individual contributions went beyond a…

Physics and Society · Physics 2020-07-01 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno