Social and Economic Networks by Jackson, Matthew O. -- Read -- Imperial Library of Trantor

Index

Cover Page Title Page Copyright Page Dedication Contents Preface Part I Background and Fundamentals of Network Analysis

Chapter 1 Introduction

1.1 Why Model Networks? 1.2 A Set of Examples 1.3 Exercises

Chapter 2 Representing and Measuring Networks

2.1 Representing Networks 2.2 Some Summary Statistics and Characteristics of Networks 2.3 Appendix: Basic Graph Theory 2.4 Appendix: Eigenvectors and Eigenvalues 2.5 Exercises

Chapter 3 Empirical Background on Social and Economic Networks

3.1 The Prevalence of Social Networks 3.2 Observations on the Structure of Networks

Part II Models of Network Formation

Chapter 4 Random-Graph Models of Networks

4.1 Static Random-Graph Models of Random Networks 4.2 Properties of Random Network 4.3 An Application: Contagion and Diffusion 4.4 Distribution of Component Sizes 4.5 Appendix: Useful Facts, Tools, and Theorems 4.6 Exercises

Chapter 5 Growing Random Networks

5.1 Uniform Randomness: An Exponential Degree Distribution 5.2 Preferential Attachment 5.3 Hybrid Models 5.4 Small Worlds, Clustering, and Assortativitys 5.5 Exercises

Chapter 6 Strategic Network Formation

6.1 Pairwise Stability 6.2 Efficient Networks 6.3 Distance-Based Utility 6.4 A Coauthor Model and Negative Externalities 6.5 Small Worlds in an Islands-Connections Model 6.6 A General Tension between Stability and Efficiency 6.7 Exercises

Part III Implications of Network Structure

Chapter 7 Diffusion through Networks

7.1 Background: The Bass Model 7.2 Spread of Information and Disease 7.3 Search and Navigation on Networks 7.4 Exercises

Chapter 8 Learning and Networks

8.1 Early Theory and Opinion Leaders 8.2 Bayesian and Observational Learning 8.3 Imitation and Social Influence Models: The DeGroot Model

Chapter 9 Decisions, Behavior, and Games on Networks

9.1 Decisions and Social Interaction 9.2 Graphical Games 9.3 Semi-Anonymous Graphical Games 9.4 Randomly Chosen Neighbors and Network Games 9.5 Richer Action Spaces 9.6 Dynamic Behavior and Contagion 9.7 Multiple Equilibria and Diffusion in Network Games 9.8 Computing Equilibria 9.9 Appendix: A Primer on Noncooperative Game Theory 9.10 Exercises

Part IV Methods, Tools, and Empirical Analyses

Chapter 10 Networked Markets

10.1 Social Embeddedness of Markets and Exchange 10.2 Networks in Labor Markets 10.3 Models of Networked Markets 10.4 Concluding Remarks 10.5 Exercises

Chapter 11 Game-Theoretic Modeling of Network Formation

11.1 Defining Stability and Equilibrium 11.2 The Existence of Stable Networks 11.3 Directed Networks 11.4 Stochastic Strategic Models of Network Formation 11.5 Farsighted Network Formation 11.6 Transfers and Network Formation 11.7 Weighted Network Formation 11.8 Agent-Based Modeling 11.9 Exercises

Chapter 12 Allocation Rules, Networks, and Cooperative Games

12.1 Cooperative Game Theory 12.2 Communication Games 12.3 Networks and Allocation Rules 12.4 Allocation Rules When Networks Are Formed 12.5 Concluding Remarks 12.6 Exercisess

Chapter 13 Observing and Measuring Social Interaction

13.1 Specification and Identification 13.2 Community Structures, Block Models, and Latent Spaces 13.3 Exercises

Afterword Bibliography Index