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The voter model and the Axelrod model are two of the main stochastic processes that describe the spread of opinions on networks. The former includes social influence, the tendency of individuals to become more similar when they interact,…

Probability · Mathematics 2010-12-30 Nicolas Lanchier

In several settings (e.g., sensor networks and social networks), nodes of a graph are equipped with initial opinions, and the goal is to estimate the average of these opinions using local operations. A natural algorithm to achieve this is…

Probability · Mathematics 2025-04-29 Dor Elboim , Yuval Peres , Ron Peretz

In many social-choice mechanisms the resulting choice is not the most preferred one for some of the participants, thus the need for methods to justify the choice made in a way that improves the acceptance and satisfaction of said…

Computer Science and Game Theory · Computer Science 2022-06-01 Sharadhi Alape Suryanarayana , David Sarne , Sarit Kraus

This article extends the analysis of Atkinson, Foley, and Ganz in "Beyond the Spoiler Effect: Can Ranked-Choice Voting Solve the Problem of Political Polarization?". Their work uses a one-dimensional spatial model based on survey data from…

We consider a classical problem in choice theory -- vote aggregation -- using novel distance measures between permutations that arise in several practical applications. The distance measures are derived through an axiomatic approach, taking…

Computer Science and Game Theory · Computer Science 2012-12-10 Farzad Farnoud , Olgica Milenkovic , Behrouz Touri

We analyse strategic, complete information, sequential voting with ordinal preferences over the alternatives. We consider several voting mechanisms: plurality voting and approval voting with deterministic or uniform tie-breaking rules. We…

Computer Science and Game Theory · Computer Science 2019-04-19 Oren Dean , Yakov Babichenko , Moshe Tennenholtz

Aggregating preferences under incomplete or constrained feedback is a fundamental problem in social choice and related domains. While prior work has established strong impossibility results for pairwise comparisons, this paper extends the…

Computer Science and Game Theory · Computer Science 2025-02-19 Evi Micha , Vasilis Varsamis

Society is often polarized by controversial issues, that split the population into groups of opposing views. When such issues emerge on social media, we often observe the creation of 'echo chambers', i.e., situations where like-minded…

Social and Information Networks · Computer Science 2018-05-25 Kiran Garimella , Gianmarco De Francisci Morales , Aristides Gionis , Michael Mathioudakis

As the issue of robustness in AI systems becomes vital, statistical learning techniques that are reliable even in presence of partly contaminated data have to be developed. Preference data, in the form of (complete) rankings in the simplest…

Machine Learning · Computer Science 2023-03-24 Morgane Goibert , Clément Calauzènes , Ekhine Irurozki , Stéphan Clémençon

Many societal decision problems lie in high-dimensional continuous spaces not amenable to the voting techniques common for their discrete or single-dimensional counterparts. These problems are typically discretized before running an…

Multiagent Systems · Computer Science 2018-10-30 Nikhil Garg , Vijay Kamble , Ashish Goel , David Marn , Kamesh Munagala

We propose a new single-winner election method ("Schulze method") and prove that it satisfies many academic criteria (e.g. monotonicity, reversal symmetry, resolvability, independence of clones, Condorcet criterion, k-consistency,…

Computer Science and Game Theory · Computer Science 2025-10-28 Markus Schulze

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

Methodology · Statistics 2017-01-23 Björn Görder , Michael Kolonko

In this paper, we take a statistical decision-theoretic viewpoint on social choice, putting a focus on the decision to be made on behalf of a system of agents. In our framework, we are given a statistical ranking model, a decision space,…

Artificial Intelligence · Computer Science 2016-03-15 Hossein Azari Soufiani , David C. Parkes , Lirong Xia

Collaborative recommendation is an information-filtering technique that attempts to present information items (movies, music, books, news, images, Web pages, etc.) that are likely of interest to the Internet user. Traditionally,…

Machine Learning · Statistics 2009-10-14 Gérard Biau , Benoit Cadre , Laurent Rouvière

Consensus ranking is a technique used to derive a single ranking that best represents the preferences of multiple individuals or systems. It aims to aggregate different rankings into one that minimizes overall disagreement or distance from…

Emerging Technologies · Computer Science 2025-01-16 Daniele Franch , Enrico Zardini , Enrico Blanzieri , Davide Pastorello

We initiate the work towards a comprehensive picture of the smoothed satisfaction of voting axioms, to provide a finer and more realistic foundation for comparing voting rules. We adopt the smoothed social choice framework, where an…

Theoretical Economics · Economics 2021-06-04 Lirong Xia

We present the core support criterion, a voting criterion satisfied by Instant Runoff Voting (IRV) that is analogous to the Condorcet criterion but reflective of a different majority rule philosophy. Condorcet methods can be thought of as…

Theoretical Economics · Economics 2024-07-12 Ross Hyman , Deb Otis , Seamus Allen , Greg Dennis

We evaluate the tendency for different voting methods to promote political compromise and reduce tensions in a society by using computer simulations to determine which voters candidates are incentivized to appeal to. We find that Instant…

General Economics · Economics 2024-04-04 Marcus Ogren

Consider $2k-1$ voters, each of which has a preference ranking between $n$ given alternatives. An alternative $A$ is called a Condorcet winner, if it wins against every other alternative $B$ in majority voting (meaning that for every other…

Theoretical Economics · Economics 2022-03-28 Lisa Sauermann

Since group activities have become very common in daily life, there is an urgent demand for generating recommendations for a group of users, referred to as group recommendation task. Existing group recommendation methods usually infer…

Information Retrieval · Computer Science 2023-02-08 Xixi Wu , Yun Xiong , Yao Zhang , Yizhu Jiao , Jiawei Zhang , Yangyong Zhu , Philip S. Yu