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Voting is a simple mechanism to aggregate the preferences of agents. Many voting rules have been shown to be NP-hard to manipulate. However, a number of recent theoretical results suggest that this complexity may only be in the worst-case…

Artificial Intelligence · Computer Science 2009-05-25 Toby Walsh

An important problem in computational social choice theory is the complexity of undesirable behavior among agents, such as control, manipulation, and bribery in election systems. These kinds of voting strategies are often tempting at the…

Artificial Intelligence · Computer Science 2012-04-20 Andrew Lin

The integrity of elections is central to democratic systems. However, a myriad of malicious actors aspire to influence election outcomes for financial or political benefit. A common means to such ends is by manipulating perceptions of the…

Computer Science and Game Theory · Computer Science 2022-06-22 Junlin Wu , Andrew Estornell , Lecheng Kong , Yevgeniy Vorobeychik

In this paper, we propose an improved version of the power index related to the Banzhaf power index for weighted voting systems. This index now takes into account the mutual persuasion power matrix(PPM) existing among the voters. This…

Combinatorics · Mathematics 2020-02-18 Krishna V. Acharya , Himadri Mukherjee , Jajati Keshari Sahoo

We introduce the notion of {\em Distance Restricted Manipulation}, where colluding manipulator(s) need to compute if there exist votes which make their preferred alternative win the election when their knowledge about the others' votes is a…

Computer Science and Game Theory · Computer Science 2020-11-30 Aditya Anand , Palash Dey

We study a more powerful variant of false-name manipulation in Internet auctions: an agent can submit multiple false-name bids, but then, once the allocation and payments have been decided, withdraw some of her false-name identities (have…

Computer Science and Game Theory · Computer Science 2012-09-24 Mingyu Guo , Vincent Conitzer

Manipulation is a problem of fundamental importance in the context of voting in which the voters exercise their votes strategically instead of voting honestly to prevent selection of an alternative that is less preferred. The…

Multiagent Systems · Computer Science 2015-02-17 Palash Dey , Neeldhara Misra , Y. Narahari

A number of recent works [Goldberg 2006; O'Donnell and Servedio 2011; De, Diakonikolas, and Servedio 2017; De, Diakonikolas, Feldman, and Servedio 2014] have considered the problem of approximately reconstructing an unknown weighted voting…

Computer Science and Game Theory · Computer Science 2020-07-28 Huck Bennett , Anindya De , Rocco A. Servedio , Emmanouil-Vasileios Vlatakis-Gkaragkounis

Power indices are essential in assessing the contribution and influence of individual agents in multi-agent systems, providing crucial insights into collaborative dynamics and decision-making processes. While invaluable, traditional…

Multiagent Systems · Computer Science 2025-03-12 Benjamin Kempinski , Tal Kachman

We introduce a new simple game, which is referred to as the complementary weighted multiple majority game (C-WMMG for short). C-WMMG models a basic cooperation rule, the complementary cooperation rule, and can be taken as a sister model of…

Computer Science and Game Theory · Computer Science 2013-01-04 Zhigang Cao , Xiaoguang Yang

The Banzhaf Power Index (BPI) is a method of measuring the power of voters in determining the outcome of a voting game. Some voting games exhibit a hierarchical structure, including the US electoral college and ensemble learning methods; we…

Computer Science and Game Theory · Computer Science 2025-01-14 John Randolph , Denizalp Goktas , Amy Greenwald

Voter control problems model situations in which an external agent tries toaffect the result of an election by adding or deleting the fewest number of voters. The goal of the agent is to make a specific candidate either win…

Multiagent Systems · Computer Science 2017-01-19 Leon Kellerhals , Viatcheslav Korenwein , Philipp Zschoche , Robert Bredereck , Jiehua Chen

Simple games cover voting systems in which a single alternative, such as a bill or an amendment, is pitted against the status quo. A simple game or a yes-no voting system is a set of rules that specifies exactly which collections of ``yea''…

Computer Science and Game Theory · Computer Science 2008-03-05 Josep Freixas , Xavier Molinero , Martin Olsen , Maria Serna

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

We consider a committee voting setting in which each voter approves of a subset of candidates and based on the approvals, a target number of candidates are selected. Aziz et al. (2015) proposed two representation axioms called justified…

Computer Science and Game Theory · Computer Science 2017-03-24 Haris Aziz , Shenwei Huang

Do runoff elections, using the same voting rule as the initial election but just on the winning candidates, increase or decrease the complexity of manipulation? Does allowing revoting in the runoff increase or decrease the complexity…

Computer Science and Game Theory · Computer Science 2014-06-23 Zack Fitzsimmons , Edith Hemaspaandra , Lane A. Hemaspaandra

We investigate the manipulation of power indices in TU-cooperative games by stimulating (subject to a budget constraint) changes in the propensity of other players to participate to the game. We display several algorithms that show that the…

Computer Science and Game Theory · Computer Science 2019-05-17 Gabriel Istrate , Cosmin Bonchiş , Alin Brînduşescu

The Coalitional Manipulation problem has been studied extensively in the literature for many voting rules. However, most studies have focused on the complete information setting, wherein the manipulators know the votes of the…

Multiagent Systems · Computer Science 2017-07-14 Palash Dey , Neeldhara Misra , Y. Narahari

We propose models for lobbying in a probabilistic environment, in which an actor (called "The Lobby") seeks to influence voters' preferences of voting for or against multiple issues when the voters' preferences are represented in terms of…

Computational Complexity · Computer Science 2011-03-01 Daniel Binkele-Raible , Gábor Erdélyi , Henning Fernau , Judy Goldsmith , Nicholas Mattei , Jörg Rothe

Nanson's and Baldwin's voting rules select a winner by successively eliminating candidates with low Borda scores. We show that these rules have a number of desirable computational properties. In particular, with unweighted votes, it is…

Artificial Intelligence · Computer Science 2011-06-28 Nina Narodytska , Toby Walsh , Lirong Xia