Stochastic Opinion Dynamics: Theory and Application

推荐语

This book presents the new results on the noise-induced synchronization of bounded confidence opinion dynamics. Bounded confidence implies that an agent updates its states by only considering of the states within its confidence threshold. Hegselmann-Krause (HK) model, a standard model of bounded confidence, is taken to display the methodologies and the main theoretical development of the topic. Also, some applications of positive noise effect in social meaning are collected for the readers to understand this topic. The book is written for researchers and engineers working in systems theory and control, complex systems, social networks, and machine learning etc.

内容简介

本书共8章，内容包括：第1章是引言，介绍本书的写作背景和基本情况。第2章对本书用到的基础知识进行介绍。第3 章研究基本的带有随机噪声的Hegselmann-Krause模型的同步行为。第4章研究全状态空间下随机噪声引导系统同步的理论。第5章研究异质模型在环境噪声及通讯噪声作用下的演化。第6章应用前文理论研究社会舆论分歧产生的模型和机制。第7章介绍随机信息流产生真相的相关理论。第8章介绍利用随机噪声消除群体分歧的干预策略。

目录

1 Introduction
1.1 Motivation
1.2 Stochastic Opinion Dynamics
1.3 Outline of the Book

2 Preliminaries
2.1 SomeConcepts of Probability Theory
2.2 Some Conceptsof Graph Theory
2.3 Hegselmann-KrauseModel

3 Homogeneous Hegselmann-Krause Model in Bounded Space
3.1 ProblemStatement
3.2 NoiseLeads to Quasi-Synchronization
3.3 NumericalSimulation
3.4 Note

4 Homogeneous Hegselmann-Krause Model in Full Space
4.1 ProblemStatement
4.2 Analysisof Synchronization
4.3 NumericalSimulation
4.4 Note

5 Heterogeneous Hegselmann-Krause Model with Environment andCommunication Noise
5.1 ProblemStatement
5.2 Analysisof System Behavior
5.3 NumericalSimulation
5.4 Note

6 Robust Fragmentation of Hegselmann-Krause-Type Dynamics
6.1 ProblemStatement
6.2 Modelswith Homogenous and Heterogeneous Prejudices
6.3 RobustFragmentation
6.4 NumericalSimulation
6.4 Note

7 Random Information Benefits Truth Seeking
7.1 ProblemStatement
7.2 TruthSeeking with Random Information
7.3 NumericalSimulation
7.4 Note

8 Elimination of Disagreement via Covert Noise
8.1 ProblemStatement
8.2 Noise-BasedIntervention Strategy
8.3 SoftControl Strategy
8.4 Stopping Time of Reaching Consensus
8.5 Numerical Simulation
8.6 Note