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This note characterizes every qualified majority voting rule in environments with just two alternatives through anonymity, responsiveness, and q-neutrality. Crucially, the latter imposes independence of the labels of the alternatives if and…

Theoretical Economics · Economics 2025-11-20 Héctor Hermida-Rivera

We study the design of voting mechanisms in a binary social choice environment where agents' cardinal valuations are independent but not necessarily identically distributed. The mechanism must be anonymous -- the outcome is invariant to…

Theoretical Economics · Economics 2025-08-12 Yaron Azrieli , Ritesh Jain , Semin Kim

It is well known, by the Gibbard-Satterthwaite Theorem, that when there are more than two candidates, any non-dictatorial voting rule can be manipulated by untruthful voters. But how strong is the incentive to manipulate under different…

Computer Science and Game Theory · Computer Science 2026-02-27 Ratip Emin Berker , Vincent Conitzer , Eden Hartman , Jiayuan Liu , Caspar Oesterheld

The Possible-Winner problem asks, given an election where the voters' preferences over the set of candidates is partially specified, whether a distinguished candidate can become a winner. In this work, we consider the computational…

Computer Science and Game Theory · Computer Science 2018-02-27 Batya Kenig

The way that people make choices or exhibit preferences can be strongly affected by the set of available alternatives, often called the choice set. Furthermore, there are usually heterogeneous preferences, either at an individual level…

Computer Science and Game Theory · Computer Science 2020-08-04 Kiran Tomlinson , Austin R. Benson

We analyze Assessment Voting, a new two-round voting procedure that can be applied to binary decisions in democratic societies. In the first round, a randomly-selected number of citizens cast their vote on one of the two alternatives at…

Econometrics · Economics 2018-02-06 Hans Gersbach , Akaki Mamageishvili , Oriol Tejada

We propose a framework for strategic voting when a voter may lack knowledge about the preferences of other voters, or about other voters' knowledge about her own preference. In this setting we define notions of manipulation, equilibrium,…

Computer Science and Game Theory · Computer Science 2021-11-30 Zeinab Bakhtiari , Hans van Ditmarsch , Abdallah Saffidine

Despite many examples to the contrary, most models of elections assume that rules determining the winner will be followed. We present a model where elections are solely a public signal of the incumbent popularity, and citizens can protests…

Physics and Society · Physics 2013-02-04 Andrew T. Little , Joshua A. Tucker , Tom LaGatta

In an election, we are given a set of voters, each having a preference list over a set of candidates, that are distributed on a social network. We consider a scenario where voters may change their preference lists as a consequence of the…

Social and Information Networks · Computer Science 2020-06-01 Mohammad Abouei Mehrizi , Gianlorenzo D'Angelo

This paper introduces a novel binary stability property for voting rules-called binary self-selectivity-by which a society considering whether to replace its voting rule using itself in pairwise elections will choose not to do so. In…

Theoretical Economics · Economics 2025-08-27 Héctor Hermida-Rivera , Toygar T. Kerman

This paper studies delegation in a model of discrete choice. In the delegation problem, an uninformed principal must consult an informed agent to make a decision. Both the agent and principal have preferences over the decided-upon action…

Computer Science and Game Theory · Computer Science 2024-06-25 Ali Khodabakhsh , Emmanouil Pountourakis , Samuel Taggart

Strategic voting, or manipulation, is the process by which a voter misrepresents his preferences in an attempt to elect an outcome that he considers preferable to the outcome under sincere voting. It is generally agreed that manipulation is…

Computer Science and Game Theory · Computer Science 2022-11-10 Egor Ianovski , Daria Teplova , Valeriia Kuka

Voting is the aggregation of individual preferences in order to select a winning alternative. Selection of a winner is accomplished via a voting rule, e.g., rank-order voting, majority rule, plurality rule, approval voting. Which voting…

Theoretical Economics · Economics 2020-05-18 Anne Carlstein

A key promise of democratic voting is that, by accounting for all constituents' preferences, it produces decisions that benefit the constituency overall. It is alarming, then, that all deterministic voting rules have unbounded distortion:…

Computer Science and Game Theory · Computer Science 2023-05-22 Bailey Flanigan , Ariel D. Procaccia , Sven Wang

We consider the problem of manipulating elections by cloning candidates. In our model, a manipulator can replace each candidate c by several clones, i.e., new candidates that are so similar to c that each voter simply replaces c in his vote…

Computer Science and Game Theory · Computer Science 2014-01-21 Edith Elkind , Piotr Faliszewski , Arkadii Slinko

In a context where a decision has to be taken collectively by several agents, the social choice problem consists in deciding whether there exists a socially acceptable rule that aggregates the individual preferences of the agents into a…

Optimization and Control · Mathematics 2017-07-20 J. A. Crespo , J. J. Sánchez-Gabites

Consider an election between k candidates in which each voter votes randomly (but not necessarily independently) and suppose that there is a single candidate that every voter prefers (in the sense that each voter is more likely to vote for…

Probability · Mathematics 2012-05-31 Joe Neeman

Scoring systems are an extremely important class of election systems. We study the complexity of manipulation, constructive control by deleting voters (CCDV), and bribery for scoring systems. For manipulation, we show that for all scoring…

Computational Complexity · Computer Science 2016-04-19 Edith Hemaspaandra , Henning Schnoor

The Gibbard-Satterthwaite theorem states that every non-dictatorial election rule among at least three alternatives can be strategically manipulated. We prove a quantitative version of the Gibbard-Satterthwaite theorem: a random…

Combinatorics · Mathematics 2011-05-26 Ehud Friedgut , Gil Kalai , Nathan Keller , Noam Nisan

In sports competitions, teams can manipulate the result by, for instance, throwing games. We show that we can decide how to manipulate round robin and cup competitions, two of the most popular types of sporting competitions in polynomial…

Artificial Intelligence · Computer Science 2012-04-18 Tyrel Russell , Toby Walsh
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