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We study the design of one-to-one matching mechanisms that are strategy-proof for both sides and as stable as possible. Motivated by the impossibility result of Roth (1982), we formulate the mechanism design problem as a linear program that…

Theoretical Economics · Economics 2026-02-04 Tohya Sugano

We investigate the complexity of $r$-Approval control problems in $k$-peaked elections, where at most $k$ peaks are allowed in each vote with respect to an order of the candidates. We show that most NP-hardness results in general elections…

Computer Science and Game Theory · Computer Science 2017-06-13 Yongjie Yang , Jiong Guo

In the traditional voting manipulation literature, it is assumed that a group of manipulators jointly misrepresent their preferences to get a certain candidate elected, while the remaining voters are truthful. In this paper, we depart from…

Computer Science and Game Theory · Computer Science 2010-01-28 Yvo Desmedt , Edith Elkind

The winner determination problems of many attractive multi-winner voting rules are NP-complete. However, they often admit polynomial-time algorithms when restricting inputs to be single-peaked. Commonly, such algorithms employ dynamic…

Computer Science and Game Theory · Computer Science 2021-04-20 Dominik Peters

We study the phase transition of the coalitional manipulation problem for generalized scoring rules. Previously it has been shown that, under some conditions on the distribution of votes, if the number of manipulators is $o(\sqrt{n})$,…

Computer Science and Game Theory · Computer Science 2013-11-18 Elchanan Mossel , Ariel D. Procaccia , Miklos Z. Racz

In this study, the effects of eight representation regularization methods are investigated, including two newly developed rank regularizers (RR). The investigation shows that the statistical characteristics of representations such as…

Machine Learning · Computer Science 2020-12-03 Daeyoung Choi , Kyungeun Lee , Duhun Hwang , Wonjong Rhee

In this paper, we study some multiagent variants of the knapsack problem. Fluschnik et al. [AAAI 2019] considered the model in which every agent assigns some utility to every item. They studied three preference aggregation rules for finding…

Computer Science and Game Theory · Computer Science 2022-08-05 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman

Issue salience is a major determinant in voters' decisions. Candidates and political parties campaign to shift salience to their advantage - a process termed priming. We study the dynamics, strategies and equilibria of campaign spending for…

Computer Science and Game Theory · Computer Science 2024-12-30 Jonathan Shaki , Yonatan Aumann , Sarit Kraus

We investigate two systems of fully proportional representation suggested by Chamberlin Courant and Monroe. Both systems assign a representative to each voter so that the "sum of misrepresentations" is minimized. The winner determination…

Computer Science and Game Theory · Computer Science 2014-02-05 Nadja Betzler , Arkadii Slinko , Johannes Uhlmann

Given an election, a preferred candidate p, and a budget, the SHIFT BRIBERY problem asks whether p can win the election after shifting p higher in some voters' preference orders. Of course, shifting comes at a price (depending on the voter…

Artificial Intelligence · Computer Science 2018-09-26 Robert Bredereck , Piotr Faliszewski , Rolf Niedermeier , Nimrod Talmon

We study strategic candidate nomination by parties in elections decided by Plurality voting. Each party selects a nominee before the election, and the winner is chosen from the nominated candidates based on the voters' preferences. We…

Computer Science and Game Theory · Computer Science 2025-11-17 Piotr Faliszewski , Stanislaw Kazmierowski , Grzegorz Lisowski , Ildiko Schlotter , Paolo Turrini

We characterize the class of committee scoring rules that satisfy the fixed-majority criterion. In some sense, the committee scoring rules in this class are multiwinner analogues of the single-winner Plurality rule, which is uniquely…

Computer Science and Game Theory · Computer Science 2016-03-01 Piotr Faliszewski , Piotr Skowron , Arkadii Slinko , Nimrod Talmon

We study an extensive class of movement minimization problems which arise from many practical scenarios but so far have little theoretical study. In general, these problems involve planning the coordinated motion of a collection of agents…

Data Structures and Algorithms · Computer Science 2015-03-20 Erik D. Demaine , MohammadTaghi Hajiaghayi , Dániel Marx

What is the minimal information that a robot must retain to achieve its task? To design economical robots, the literature dealing with reduction of combinatorial filters approaches this problem algorithmically. As lossless state compression…

Robotics · Computer Science 2024-10-15 Yulin Zhang , Dylan A. Shell

In distortion-based analysis of social choice rules over metric spaces, one assumes that all voters and candidates are jointly embedded in a common metric space. Voters rank candidates by non-decreasing distance. The mechanism, receiving…

Computer Science and Game Theory · Computer Science 2019-11-21 David Kempe

Successive elimination of candidates is often a route to making manipulation intractable to compute. We prove that eliminating candidates does not necessarily increase the computational complexity of manipulation. However, for many voting…

Artificial Intelligence · Computer Science 2012-04-19 Jessica Davies , Nina Narodytska , Toby Walsh

We consider the computational complexity of the question whether a certain strategy can be removed from a game by means of iterated elimination of dominated strategies. In particular, we study the influence of different definitions of…

Computational Complexity · Computer Science 2010-01-20 Arno Pauly

We consider a feature-based personalized pricing problem in which the buyer is strategic: given the seller's pricing policy, the buyer can augment the features that they reveal to the seller to obtain a low price for the product. We model…

Optimization and Control · Mathematics 2024-08-19 Zhi Chen , Bradley Sturt , Weijun Xie

We investigate rules which allow variable elimination in binary CSP (constraint satisfaction problem) instances while conserving satisfiability. We study variable-elimination rules based on the language of forbidden patterns enriched with…

Data Structures and Algorithms · Computer Science 2019-05-13 Martin C. Cooper , Achref El Mouelhi , Cyril Terrioux

We study the linearizability monitoring problem, which asks whether a given concurrent history of a data structure is equivalent to some sequential execution of the same data structure. In general, this problem is $\textsf{NP}$-hard, even…

Programming Languages · Computer Science 2026-05-26 Lee Zheng Han , Umang Mathur
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