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There is a striking relationship between a three hundred years old Political Science theorem named "Condorcet's jury theorem" (1785), which states that majorities are more likely to choose correctly when individual votes are often correct…

机器学习 · 计算机科学 2020-02-17 Hanan Shteingart , Eran Marom , Igor Itkin , Gil Shabat , Michael Kolomenkin , Moshe Salhov , Liran Katzir

The traditional axiomatic approach to voting is motivated by the problem of reconciling differences in subjective preferences. In contrast, a dominant line of work in the theory of voting over the past 15 years has considered a different…

离散数学 · 计算机科学 2015-12-19 Flavio Chierichetti , Jon Kleinberg

We study mechanism which operate on ordinal preference information (i.e., rank ordered lists of alternatives) on the full domain of weak preferences that admits indifferences. We present a novel decomposition of strategyproofness into three…

计算机科学与博弈论 · 计算机科学 2020-07-15 Timo Mennle , Sven Seuken

We develop an abstract axiomatic theory of tie-breaking. A tie-breaking input consists of a finite set N of players, a weak order on N representing the standings to be refined, and an auxiliary information item drawn from a set on which the…

计算机科学与博弈论 · 计算机科学 2026-05-25 Frank M. V. Feys

Measure what is measurable, and make measurable what is not so (Galileo Galilei). According to the above sentence we do not ask why we need to measure democracy but if it is possible to measure something which is not unequivocally defined.…

物理与社会 · 物理学 2015-10-14 Jozef Sznajd

Iterated admissibility (IA) can be seen as exhibiting a minimal criterion of rationality in games. In order to make this intuition more precise, the epistemic characterization of this game-theoretic solution has been actively investigated…

逻辑 · 数学 2013-04-19 Fernando Tohmè , Gianluca Caterina , Rocco Gangle

We propose a new single-winner voting system using ranked ballots: Stable Voting. The motivating principle of Stable Voting is that if a candidate A would win without another candidate B in the election, and A beats B in a head-to-head…

理论经济学 · 经济学 2023-02-14 Wesley H. Holliday , Eric Pacuit

Information criteria such as Akaike's (AIC) and Bayes' (BIC) are widely used for model selection in physics and beyond, quantifying the tradeoff between model complexity and goodness-of-fit to enforce parsimony. However, their derivation…

动力系统 · 数学 2025-11-20 Kumar Utkarsh , Daniel M. Abrams

To make a joint decision, agents (or voters) are often required to provide their preferences as linear orders. To determine a winner, the given linear orders can be aggregated according to a voting protocol. However, in realistic settings,…

计算复杂性 · 计算机科学 2010-05-03 Nadja Betzler , Britta Dorn

When each voter rates or ranks several candidates for a single office, a strong Condorcet winner (SCW) is one who beats all others in two-way races. Among 21 electoral systems examined, 18 will sometimes make candidate X the winner even if…

统计方法学 · 统计学 2016-09-22 Richard B. Darlington

We construct a majority cellular automata based model to explain the power-law signatures in Indonesian general election results. The understanding of second-order phase transitions between two different conditions inspires the model. The…

适应与自组织系统 · 物理学 2007-05-23 Hokky Situngkir , Yohanes Surya

The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

人工智能 · 计算机科学 2021-10-15 Gabriel-Claudiu Grama

We present a simple proof of a well-known axiomatic characterization of state-salient decision rules, using Weak Dominance Criterion and Global Independence of Irrelevant Alternatives. Subsequently we provide a simple axiomatic…

最优化与控制 · 数学 2025-03-11 Somdeb Lahiri

Most democratic countries use election methods to transform election results into whole numbers which usually give the number of seats in a legislative body the parties obtained. Which election method does this best can be specified by…

历史与综述 · 数学 2015-10-27 Horst F. Niemeyer , Alice C. Niemeyer

We combine several folklore observations to provide a working framework for iterating constructions which contradict the axiom of choice. We use this to define a model in which any kind of structural failure must fail with a proper class of…

逻辑 · 数学 2021-07-26 Asaf Karagila

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…

理论经济学 · 经济学 2020-05-18 Anne Carlstein

To select a subset of samples or "winners" from a population of candidates, order sampling [Rosen 1997] and the k-unit Myerson auction [Myerson 1981] share a common scheme: assign a (random) score to each candidate, then select the k…

计算机科学与博弈论 · 计算机科学 2018-11-29 Shaddin Dughmi , David Kempe , Ruixin Qiang

Electoral control refers to attempts by an election's organizer ("the chair") to influence the outcome by adding/deleting/partitioning voters or candidates. The groundbreaking work of Bartholdi, Tovey, and Trick [BTT92] on (constructive)…

计算机科学与博弈论 · 计算机科学 2008-09-26 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

We present three voting protocols with unconditional privacy and correctness, without assuming any bound on the number of corrupt participants. All protocols have polynomial complexity and require private channels and a simultaneous…

密码学与安全 · 计算机科学 2010-11-25 Anne Broadbent , Stacey Jeffery , Alain Tapp

In this paper we study Arrow's Impossibility Theorem in the quantum setting. Our work is based on the work of Bao and Halpern, in which it is proved that the quantum analogue of Arrow's Impossibility Theorem is not valid. However, we feel…

社会与信息网络 · 计算机科学 2021-09-01 Xin Sun , Feifei He , Piotr Kulicki , Mirek Sopek