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The classical paradox of social choice theory asserts that there is no fair way to deterministically select a winner in an election among more than two candidates; the only definite collective preferences are between individual pairs of…

组合数学 · 数学 2012-11-05 Jennifer Iglesias , Nathaniel Ince , Po-Shen Loh

It is well known that no reasonable voting rule is strategyproof. Moreover, the common Plurality rule is particularly prone to strategic behavior of the voters and empirical studies show that people often vote strategically in practice.…

计算机科学与博弈论 · 计算机科学 2014-04-22 Reshef Meir , Omer Lev , Jeffrey S. Rosenschein

Though voting-based consensus algorithms in Blockchain outperform proof-based ones in energy- and transaction-efficiency, they are prone to incur wrong elections and bribery elections. The former originates from the uncertainties of…

计算机科学与博弈论 · 计算机科学 2019-12-30 Shengling Wang , Xidi Qu , Qin Hu , Weifeng Lv

[HHM20] discovered, for 7 pairs (C,D) of seemingly distinct standard electoral control types, that C and D are identical: For each input I and each election system, I is a Yes instance of both C and D, or of neither. Surprisingly this had…

The knockoff filter of Barber and Candes (arXiv:1404.5609) is a flexible framework for multiple testing in supervised learning models, based on introducing synthetic predictor variables to control the false discovery rate (FDR). Using the…

统计方法学 · 统计学 2024-11-26 Yixiang Luo , William Fithian , Lihua Lei

Studying distributed computing through the lens of algebraic topology has been the source of many significant breakthroughs during the last two decades, especially in the design of lower bounds or impossibility results for deterministic…

分布式、并行与集群计算 · 计算机科学 2021-05-26 Pierre Fraigniaud , Ran Gelles , Zvi Lotker

We study the problem of coalitional manipulation---where $k$ manipulators try to manipulate an election on $m$ candidates---under general scoring rules, with a focus on the Borda protocol. We do so both in the weighted and unweighted…

数据结构与算法 · 计算机科学 2017-08-17 Orgad Keller , Avinatan Hassidim , Noam Hazon

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…

人工智能 · 计算机科学 2012-04-20 Andrew Lin

Impartial selection problems are concerned with the selection of one or more agents from a set based on mutual nominations from within the set. To avoid strategic nominations of the agents, the axiom of impartiality requires that the…

计算机科学与博弈论 · 计算机科学 2024-10-01 Javier Cembrano , Max Klimm , Arturo Merino

Most work on manipulation assumes that all preferences are known to the manipulators. However, in many settings elections are open and sequential, and manipulators may know the already cast votes but may not know the future votes. We…

计算机科学与博弈论 · 计算机科学 2015-03-20 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

We study cooperative control dynamics with gradient based forcing terms. As a specific example, we focus on source-seeking dynamics with vehicles embedded in an unknown scalar field with a subset of agents having gradient information. As…

最优化与控制 · 数学 2023-05-30 Adwait Datar , Christian Hespe , Herbert Werner

Random selection, leader election, and collective coin flipping are fundamental tasks in fault-tolerant distributed computing. We study these problems in the full-information model where despite decades of study, key gaps remain in our…

计算复杂性 · 计算机科学 2026-04-30 Eshan Chattopadhyay , Mohit Gurumukhani , Noam Ringach , Rocco A. Servedio

We show a new proof for the fact that when $\kappa$ and $\lambda$ are infinite cardinals satisfying $\lambda ^ \kappa = \lambda$, the cofinality of the set of all functions from $\lambda$ to $\kappa$ ordered by everywhere domination is…

逻辑 · 数学 2014-05-06 Dan Hathaway

Let $\Delta$ be the Dirichlet Laplacian on the interval $(0,\pi)$. The null controllability properties of the equation $$u_{tt}+\Delta^2 u+\rho (\Delta)^\alpha u_t=F(x,t)$$ are studied. Let $T>0$, and assume initial conditions $(u^0,u^1)\in…

最优化与控制 · 数学 2024-01-29 Sergei Avdonin , Julian Edward , Sergei Ivanov

In many real world elections, agents are not required to rank all candidates. We study three of the most common methods used to modify voting rules to deal with such partial votes. These methods modify scoring rules (like the Borda count),…

计算机科学与博弈论 · 计算机科学 2014-06-02 Nina Narodytska , Toby Walsh

Prior work on the complexity of bribery assumes that the bribery happens simultaneously, and that the briber has full knowledge of all votes. However, in many real-world settings votes come in sequentially, and the briber may have a…

计算机科学与博弈论 · 计算机科学 2021-10-26 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

We consider data in the form of pairwise comparisons of n items, with the goal of precisely identifying the top k items for some value of k < n, or alternatively, recovering a ranking of all the items. We analyze the Copeland counting…

机器学习 · 计算机科学 2016-04-28 Nihar B. Shah , Martin J. Wainwright

Deep learning models are intrinsically sensitive to distribution shifts in the input data. In particular, small, barely perceivable perturbations to the input data can force models to make wrong predictions with high confidence. An common…

计算机视觉与模式识别 · 计算机科学 2022-10-26 Paul Gavrikov , Janis Keuper

In approval-based multiwinner voting, voters express approval preferences over a set of candidates, and the goal is to return a winning committee. This model captures a broad range of subset selection problems under preferences. Prior work…

计算机科学与博弈论 · 计算机科学 2026-04-28 Niclas Boehmer , Luca Kreisel , Jannik Peters

This paper deals with strong structural controllability of linear systems. In contrast to existing work, the structured systems studied in this paper have a so-called zero/nonzero/arbitrary structure, which means that some of the entries…

最优化与控制 · 数学 2019-03-11 Jiajia Jia , Henk J. van Waarde , Harry L. Trentelman , M. Kanat Camlibel