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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 preference profile is single-peaked on a tree if the candidate set can be equipped with a tree structure so that the preferences of each voter are decreasing from their top candidate along all paths in the tree. This notion was introduced…

Computer Science and Game Theory · Computer Science 2022-01-24 Dominik Peters , Lan Yu , Hau Chan , Edith Elkind

We establish that all strategy-proof social choice rules in strict preference domains follow necessarily a two-step procedure. In the first step, agents are asked to reveal some specific information about their preferences. Afterwards, a…

Theoretical Economics · Economics 2023-04-26 Jorge Alcalde-Unzu , Marc Vorsatz

Strategyproofness in network auctions requires that bidders not only report their valuations truthfully, but also do their best to invite neighbours from the social network. In contrast to canonical auctions, where the value-monotone…

Computer Science and Game Theory · Computer Science 2025-07-22 Yuhang Guo , Dong Hao , Bin Li , Mingyu Xiao , Bakh Khoussainov

We address the problem of strategyproof (SP) facility location mechanisms on discrete trees. Our main result is a full characterization of onto and SP mechanisms. In particular, we prove that when a single agent significantly affects the…

Computer Science and Game Theory · Computer Science 2021-02-05 Alina Filimonov , Reshef Meir

This paper studies the (group) strategy-proofness aspect of two-sided matching markets under stability. For a one-to-one matching market, we show an equivalence between individual and group strategy-proofness under stability. We obtain this…

Theoretical Economics · Economics 2023-10-10 Pinaki Mandal

We study three axioms in the model of constrained social choice under uncertainty where (i) agents have subjective expected utility preferences over acts and (ii) different states of nature have (possibly) different sets of available…

Theoretical Economics · Economics 2024-08-05 Eric Bahel

Many hard computational social choice problems are known to become tractable when voters' preferences belong to a restricted domain, such as those of single-peaked or single-crossing preferences. However, to date, all algorithmic results of…

Computer Science and Game Theory · Computer Science 2016-02-12 Edith Elkind , Martin Lackner

The key contribution of the paper is a comprehensive study of the egalitarian mechanism with respect to manipulation by a coalition of agents. Our main result is that the egalitarian mechanism is, in fact, peak group strategyproof : no…

Computer Science and Game Theory · Computer Science 2011-07-25 Shyam S Chandramouli , Jay Sethuraman

An important -- but very demanding -- property in collective decision-making is strategyproofness, which requires that voters cannot benefit from submitting insincere preferences. Gibbard (1977) has shown that only rather unattractive rules…

Computer Science and Game Theory · Computer Science 2024-12-17 Felix Brandt , Patrick Lederer

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

Multi-winner approval-based voting has received considerable attention recently. A voting rule in this setting takes as input ballots in which each agent approves a subset of the available alternatives and outputs a committee of…

Computer Science and Game Theory · Computer Science 2024-02-15 Ioannis Caragiannis , Rob LeGrand , Evangelos Markakis , Emmanouil Pountourakis

We study the problem of designing group-strategyproof cost-sharing mechanisms. The players report their bids for getting serviced and the mechanism decides which players are going to be serviced and how much each one of them is going to…

Computer Science and Game Theory · Computer Science 2010-01-13 Emmanouil Pountourakis , Angelina Vidali

Top monotonicity is a relaxation of various well-known domain restrictions such as single-peaked and single-crossing for which negative impossibility results are circumvented and for which the median-voter theorem still holds. We examine…

Computer Science and Game Theory · Computer Science 2014-06-03 Haris Aziz

Multiwinner voting rules can be used to select a fixed-size committee from a larger set of candidates. We consider approval-based committee rules, which allow voters to approve or disapprove candidates. In this setting, several voting rules…

Computer Science and Game Theory · Computer Science 2024-11-05 Dominik Peters

Strategyproof mechanisms provide robust equilibrium with minimal assumptions about knowledge and rationality but can be unachievable in combination with other desirable properties such as budget-balance, stability against deviations by…

Computer Science and Game Theory · Computer Science 2012-05-14 Benjamin Lubin , David C. Parkes

The classic Gibbard-Satterthwaite theorem says that every strategy-proof voting rule with at least three possible candidates must be dictatorial. Similar impossibility results hold even if we consider a weaker notion of strategy-proofness…

Computer Science and Game Theory · Computer Science 2015-01-08 Samantha Leung , Edward Lui , Rafael Pass

In economics and social choice single-peakedness is one of the most important and commonly studied models for preferences. It is well known that single-peaked consistency for total orders is in P. However in practice a preference profile is…

Computer Science and Game Theory · Computer Science 2016-06-27 Zack Fitzsimmons

There are many situations in which mis-coordinated strategic voting can leave strategic voters worse off than they would have been had they not tried to strategize. We analyse the simplest of such scenarios, in which the set of strategic…

Computer Science and Game Theory · Computer Science 2013-01-09 Arkadii Slinko , Shaun White

Incomplete preferences are likely to arise in real-world preference aggregation scenarios. This paper deals with determining whether an incomplete preference profile is single-peaked. This is valuable information since many intractable…

Computer Science and Game Theory · Computer Science 2020-04-15 Zack Fitzsimmons , Martin Lackner