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We propose and study a new class of polynomial voting rules for a general decentralized decision/consensus system, and more specifically for the PoS (Proof of Stake) protocol. The main idea, inspired by the Penrose square-root law and the…

Probability · Mathematics 2024-01-09 Wenpin Tang , David D. Yao

We study the complexity of the following problem: Given two weighted voting games G' and G'' that each contain a player p, in which of these games is p's power index value higher? We study this problem with respect to both the…

Computational Complexity · Computer Science 2008-01-31 Piotr Faliszewski , Lane A. Hemaspaandra

Collective decision making processes lie at the heart of many social, political and economic challenges. The classical voter model is a well-established conceptual model to study such processes. In this work, we define a new form of…

Adaptation and Self-Organizing Systems · Physics 2020-02-19 Leonhard Horstmeyer , Christian Kuehn

Manipulation, bribery, and control are well-studied ways of changing the outcome of an election. Many voting rules are, in the general case, computationally resistant to some of these manipulative actions. However when restricted to…

Computational Complexity · Computer Science 2017-07-24 Gábor Erdélyi , Martin Lackner , Andreas Pfandler

In this paper, we study liquid democracy, a collective decision making paradigm which lies between direct and representative democracy. One main feature of liquid democracy is that voters can delegate their votes in a transitive manner so…

Artificial Intelligence · Computer Science 2019-05-17 Bruno Escoffier , Hugo Gilbert , Adèle Pass-Lanneau

In approval-based multiwinner voting, voters express approval preferences over a set of candidates, and the goal is to return a winning committee. This model captures a broad range of subset selection problems under preferences. Prior work…

Computer Science and Game Theory · Computer Science 2026-04-28 Niclas Boehmer , Luca Kreisel , Jannik Peters

Liquid democracy is a novel paradigm for collective decision-making that gives agents the choice between casting a direct vote or delegating their vote to another agent. We consider a generalization of the standard liquid democracy setting…

Computer Science and Game Theory · Computer Science 2021-12-15 Markus Brill , Théo Delemazure , Anne-Marie George , Martin Lackner , Ulrike Schmidt-Kraepelin

Voting is a simple mechanism to aggregate the preferences of agents. Many voting rules have been shown to be NP-hard to manipulate. However, a number of recent theoretical results suggest that this complexity may only be in the worst-case…

Artificial Intelligence · Computer Science 2009-05-25 Toby Walsh

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

In collective decision making, where a voting rule is used to take a collective decision among a group of agents, manipulation by one or more agents is usually considered negative behavior to be avoided, or at least to be made…

Artificial Intelligence · Computer Science 2013-03-05 Umberto Grandi , Andrea Loreggia , Francesca Rossi , Kristen Brent Venable , Toby Walsh

Liquid democracy is a form of transitive delegative democracy that has received a flurry of scholarly attention from the computer science community in recent years. In its simplest form, every agent starts with one vote and may have other…

Multiagent Systems · Computer Science 2022-06-14 Brian Brubach , Audrey Ballarin , Heeba Nazeer

The computational study of elections generally assumes that the preferences of the electorate come in as a list of votes. Depending on the context, it may be much more natural to represent the list succinctly, as the distinct votes of the…

Computer Science and Game Theory · Computer Science 2021-06-25 Zack Fitzsimmons , Edith Hemaspaandra

Measures of voting power have been the subject of extensive research since the mid 1940s. More recently, similar measures of relative importance have been studied in other domains that include inconsistent knowledge bases, intensity of…

Artificial Intelligence · Computer Science 2024-10-11 Joao Marques-Silva , Carlos Mencía , Raúl Mencía

Inspired by socio-political scenarios, like dictatorships, in which a minority of people exercise control over a majority of weakly interconnected individuals, we propose vulnerability and power measures defined on groups of actors of…

Social and Information Networks · Computer Science 2014-12-22 Enrico Bozzo , Massimo Franceschet , Franca Rinaldi

In recent years, the study of various models and questions related to Liquid Democracy has been of growing interest among the community of Computational Social Choice. A concern that has been raised, is that current academic literature…

Computer Science and Game Theory · Computer Science 2023-07-25 Evangelos Markakis , Georgios Papasotiropoulos

Do runoff elections, using the same voting rule as the initial election but just on the winning candidates, increase or decrease the complexity of manipulation? Does allowing revoting in the runoff increase or decrease the complexity…

Computer Science and Game Theory · Computer Science 2014-06-23 Zack Fitzsimmons , Edith Hemaspaandra , Lane A. Hemaspaandra

In recent years, enlargement of the European Union has led to increased interest in the allocation of voting weights to member states with hugely differing population numbers. While the eventually agreed voting scheme lacks any strict…

General Mathematics · Mathematics 2008-09-11 Martin Kurth

A number of recent works [Goldberg 2006; O'Donnell and Servedio 2011; De, Diakonikolas, and Servedio 2017; De, Diakonikolas, Feldman, and Servedio 2014] have considered the problem of approximately reconstructing an unknown weighted voting…

Computer Science and Game Theory · Computer Science 2020-07-28 Huck Bennett , Anindya De , Rocco A. Servedio , Emmanouil-Vasileios Vlatakis-Gkaragkounis

In social network analysis, there is a common perception that influence is relevant to determine the global behavior of the society and thus it can be used to enforce cooperation by targeting an adequate initial set of individuals or to…

Computer Science and Game Theory · Computer Science 2013-07-01 Xavier Molinero , Fabián Riquelme , Maria Serna

Viscous democracy is a generalization of liquid democracy, a social choice framework in which voters may transitively delegate their votes. In viscous democracy, a "viscosity" factor decreases the weight of a delegation the further it…

Physics and Society · Physics 2024-05-14 Ben Armstrong , Shiri Alouf-Heffetz , Nimrod Talmon
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