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We consider a two-round election model involving $m$ voters and $n$ candidates. Each voter is endowed with a strict preference list ranking the candidates. In the first round, the candidates are partitioned into two subsets, $A$ and $B$,…

计算机科学与博弈论 · 计算机科学 2026-03-17 Emilio De Santis , Antonio Di Crescenzo , Verdiana Mustaro

We study simple interacting particle systems on heterogeneous networks, including the voter model and the invasion process. These are both two-state models in which in an update event an individual changes state to agree with a neighbor.…

物理与社会 · 物理学 2009-09-29 V. Sood , Tibor Antal , S. Redner

Many networks do not live in isolation but are strongly interacting, with profound consequences on their dynamics. Here, we consider the case of two interacting social networks and, in the context of a simple model, we address the case of…

物理与社会 · 物理学 2015-06-11 Arda Halu , Kun Zhao , Andrea Baronchelli , Ginestra Bianconi

We study percolation on networks, which is used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks. We reformulate…

统计力学 · 物理学 2014-11-20 Brian Karrer , M. E. J. Newman , Lenka Zdeborová

We propose a stochastic model of opinion exchange in networks. A finite set of agents is organized in a fixed network structure. There is a binary state of the world and each agent receives a private signal on the state. We model beliefs as…

理论经济学 · 经济学 2022-01-31 Emilien Macault

In a diffusion process on a network, how many nodes are expected to be influenced by a set of initial spreaders? This natural problem, often referred to as influence estimation, boils down to computing the marginal probability that a given…

社会与信息网络 · 计算机科学 2020-01-01 Andrey Y. Lokhov , David Saad

Influence maximization, the fundamental of viral marketing, aims to find top-$K$ seed nodes maximizing influence spread under certain spreading models. In this paper, we study influence maximization from a game perspective. We propose a…

人工智能 · 计算机科学 2020-06-04 Yu Zhang , Yan Zhang

Typical voting rules do not work well in settings with many candidates. If there are just several hundred candidates, then even a simple task such as choosing a top candidate becomes impractical. Motivated by the hope of developing group…

计算机科学与博弈论 · 计算机科学 2012-10-03 Ashish Goel , David Lee

A widely studied model of influence diffusion in social networks represents the network as a graph $G=(V,E)$ with an influence threshold $t(v)$ for each node. Initially the members of an initial set $S\subseteq V$ are influenced. During…

数据结构与算法 · 计算机科学 2018-07-19 Gennaro Cordasco , Luisa Gargano , Joseph Peters , Adele Anna Rescigno , Ugo Vaccaro

There are many factors that can influence the outcome of an election. We here identify two dominant effects that can affect the votes obtained by a candidate, namely, the Majority Effect and the Media Effect. We mimic these two effects in a…

物理与社会 · 物理学 2009-11-10 Chung-I Chou , Sai-Ping Li

We consider different methods, that do not rely on numerical simulations of the percolation process, to approximate percolation thresholds in networks. We perform a systematic analysis on synthetic graphs and a collection of 109 real…

物理与社会 · 物理学 2015-01-16 Filippo Radicchi

Voting can abstractly model any decision-making scenario and as such it has been extensively studied over the decades. Recently, the related literature has focused on quantifying the impact of utilizing only limited information in the…

计算机科学与博弈论 · 计算机科学 2020-01-07 Aris Filos-Ratsikas , Evi Micha , Alexandros A. Voudouris

The voter model with stirring is a variant of the classical voter model on $\mathbb{Z}^d$ with two possible opinions (0 and 1) that, in addition to copying neighbouring opinions at rate 1, allows voters to interchange their opinions at…

概率论 · 数学 2026-05-22 Jhon Astoquillca , Franco Severo , Réka Szabó , Daniel Valesin

Percolation threshold of a network is the critical value such that when nodes or edges are randomly selected with probability below the value, the network is fragmented but when the probability is above the value, a giant component…

社会与信息网络 · 计算机科学 2017-04-26 Yuan Lin , Wei Chen , Zhongzhi Zhang

Elections and opinion polls often have many candidates, with the aim to either rank the candidates or identify a small set of winners according to voters' preferences. In practice, voters do not provide a full ranking; instead, each voter…

计算机科学与博弈论 · 计算机科学 2019-08-16 Nikhil Garg , Lodewijk Gelauff , Sukolsak Sakshuwong , Ashish Goel

We investigate the novel problem of voting-based opinion maximization in a social network: Find a given number of seed nodes for a target campaigner, in the presence of other competing campaigns, so as to maximize a voting-based score for…

社会与信息网络 · 计算机科学 2022-09-15 Arkaprava Saha , Xiangyu Ke , Arijit Khan , Laks V. S. Lakshmanan

Influence propagation in networks has enjoyed fruitful applications and has been extensively studied in literature. However, only very limited preliminary studies tackled the challenges in handling highly dynamic changes in real networks.…

社会与信息网络 · 计算机科学 2018-03-06 Yu Yang , Zhefeng Wang , Tianyuan Jin , Jian Pei , Enhong Chen

Several elections run in the last years have been characterized by attempts to manipulate the result of the election through the diffusion of fake or malicious news over social networks. This problem has been recognized as a critical issue…

计算机科学与博弈论 · 计算机科学 2023-08-22 Vincenzo Auletta , Francesco Carbone , Diodato Ferraioli

The metric distortion framework posits that n voters and m candidates are jointly embedded in a metric space such that voters rank candidates that are closer to them higher. A voting rule's purpose is to pick a candidate with minimum total…

计算机科学与博弈论 · 计算机科学 2023-07-03 Fatih Erdem Kizilkaya , David Kempe

The problem of finding optimal set of users for influencing others in the social network has been widely studied. Because it is NP-hard, some heuristics were proposed to find sub-optimal solutions. Still, one of the commonly used assumption…

社会与信息网络 · 计算机科学 2014-11-24 Radosław Michalski , Tomasz Kajdanowicz , Piotr Bródka , Przemysław Kazienko