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We study the ability of different classes of voting rules to induce agents to report their preferences truthfully, if agents want to avoid regret. First, we show that regret-free truth-telling is equivalent to strategy-proofness among…

Theoretical Economics · Economics 2025-03-21 R. Pablo Arribillaga , Agustin G. Bonifacio , Marcelo Ariel Fernandez

We present theoretical and empirical results demonstrating the usefulness of voting rules for participatory democracies. We first give algorithms which efficiently elicit \epsilon-approximations to two prominent voting rules: the Borda rule…

Multiagent Systems · Computer Science 2014-07-17 David Lee , Ashish Goel , Tanja Aitamurto , Helene Landemore

A Condorcet voting scheme chooses a winning candidate as one who defeats all others in pairwise majority rule. We provide a review which includes the rigorous mathematical treatment for calculating the limiting probability of a Condorcet…

Statistics Theory · Mathematics 2007-06-13 M. S. Krishnamoorthy , M. Raghavachari

We present a new model that describes the process of electing a group of representatives (e.g., a parliament) for a group of voters. In this model, called the voting committee model, the elected group of representatives runs a number of…

Multiagent Systems · Computer Science 2016-11-22 Piotr Skowron

We consider a social choice problem where only a small number of people out of a large population are sufficiently available or motivated to vote. A common solution to increase participation is to allow voters use a proxy, that is, transfer…

Computer Science and Game Theory · Computer Science 2016-11-28 Gal Cohensius , Shie Manor , Reshef Meir , Eli Meirom , Ariel Orda

Voting is a very general method of preference aggregation. A voting rule takes as input every voter's vote (typically, a ranking of the alternatives), and produces as output either just the winning alternative or a ranking of the…

Computer Science and Game Theory · Computer Science 2012-07-09 Vincent Conitzer , Tuomas Sandholm

Some distinguished types of voters, as vetoers, passers or nulls, as well as some others, play a significant role in voting systems because they are either the most powerful or the least powerful voters in the game independently of the…

Combinatorics · Mathematics 2014-02-03 Josep Freixas , Sascha Kurz

We survey the design of elections that are resilient to attempted interference by third parties. For example, suppose votes have been cast in an election between two candidates, and then each vote is randomly changed with a small…

Probability · Mathematics 2021-07-13 Steven Heilman

Condorcet domains are sets of linear orders with the property that, whenever voters' preferences are restricted to the domain, the pairwise majority relation (for an odd number of voters) is transitive and hence a linear order. Determining…

Discrete Mathematics · Computer Science 2026-01-13 Alexander Karpov , Klas Markstrom , Soren Riis , Bei Zhou

Condorcet's paradox is a fundamental result in social choice theory which states that there exist elections in which, no matter which candidate wins, a majority of voters prefer a different candidate. In fact, even if we can select any $k$…

Computer Science and Game Theory · Computer Science 2025-12-02 Moses Charikar , Prasanna Ramakrishnan , Kangning Wang

From the perspective of social choice theory, ranked-choice voting (RCV) is known to have many flaws. RCV can fail to elect a Condorcet winner and is susceptible to monotonicity paradoxes and the spoiler effect, for example. We use a…

General Economics · Economics 2023-03-07 Adam Graham-Squire , David McCune

Increasing data volumes requires additional rating techniques. Reputation systems are the subject of much research. There are various techniques to rate content that facilitate the search of quality content. Page rank, citation index and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-06 Nina Evseenko

Typical voting rules do not work well in settings with many candidates. If there are just several hundred candidates, then even a simple task such as choosing a top candidate becomes impractical. Motivated by the hope of developing group…

Computer Science and Game Theory · Computer Science 2012-10-03 Ashish Goel , David Lee

In this paper, I characterize minimal stable voting rules and minimal self-stable constitutions (i.e., pairs of voting rules) for societies in which only power matters. To do so, I first let players' preference profiles over voting rules…

Theoretical Economics · Economics 2025-08-26 Héctor Hermida-Rivera

We consider Approval Voting systems where each voter decides on a subset to candidates he/she approves. We focus on the optimization problem of finding the committee of fixed size k minimizing the maximal Hamming distance from a vote. In…

Data Structures and Algorithms · Computer Science 2016-06-23 Jaroslaw Byrka , Krzysztof Sornat

We study a model of proxy voting where the candidates, voters, and proxies are all located on the real line, and instead of voting directly, each voter delegates its vote to the closest proxy. The goal is to find a set of proxies that is…

Computer Science and Game Theory · Computer Science 2020-12-15 Elliot Anshelevich , Zack Fitzsimmons , Rohit Vaish , Lirong Xia

Soon after the invention of the Internet, the recommender system emerged and related technologies have been extensively studied and applied by both academia and industry. Currently, recommender system has become one of the most successful…

Information Retrieval · Computer Science 2022-09-07 Zhenhua Dong , Zhe Wang , Jun Xu , Ruiming Tang , Jirong Wen

This paper introduces the Voting with Random Proposers (VRP) procedure to address the challenges of agenda manipulation in voting. In each round of VRP, a randomly selected proposer suggests an alternative that is voted on against the…

Theoretical Economics · Economics 2025-10-03 Hans Gersbach , Kremena Valkanova

We introduce BallotRank, a ranked preference aggregation method derived from a modified PageRank algorithm. It is a Condorcet-consistent method without damping, and empirical examination of nearly 2,000 ranked choice elections and over…

Computer Science and Game Theory · Computer Science 2026-01-22 Jason Douglas Todd , Ismar Volic

Voting rules allow multiple agents to aggregate their preferences in order to reach joint decisions. Perhaps one of the most important desirable properties in this context is Condorcet-consistency, which requires that a voting rule should…

Computer Science and Game Theory · Computer Science 2016-02-26 Felix Brandt , Christian Geist , Dominik Peters