Social and Economic Networks

Social and Economic Networks

4.0 1
by Matthew O. Jackson
     
 

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ISBN-10: 0691134405

ISBN-13: 9780691134406

Pub. Date: 08/18/2008

Publisher: Princeton University Press

Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. The many aspects of our lives that are governed by social networks make it critical to understand how they impact behavior, which network structures are likely to emerge in a society, and why we organize ourselves as we do. In

Overview

Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. The many aspects of our lives that are governed by social networks make it critical to understand how they impact behavior, which network structures are likely to emerge in a society, and why we organize ourselves as we do. In Social and Economic Networks, Matthew Jackson offers a comprehensive introduction to social and economic networks, drawing on the latest findings in economics, sociology, computer science, physics, and mathematics. He provides empirical background on networks and the regularities that they exhibit, and discusses random graph-based models and strategic models of network formation. He helps readers to understand behavior in networked societies, with a detailed analysis of learning and diffusion in networks, decision making by individuals who are influenced by their social neighbors, game theory and markets on networks, and a host of related subjects. Jackson also describes the varied statistical and modeling techniques used to analyze social networks. Each chapter includes exercises to aid students in their analysis of how networks function.

This book is an indispensable resource for students and researchers in economics, mathematics, physics, sociology, and business.

Product Details

ISBN-13:
9780691134406
Publisher:
Princeton University Press
Publication date:
08/18/2008
Edition description:
New Edition
Pages:
520
Product dimensions:
7.20(w) x 10.10(h) x 1.30(d)

Related Subjects

Table of Contents

Preface xi

PART I: BACKGROUND AND FUNDAMENTALS OF NETWORK ANALYSIS

Chapter 1 Introduction 3

1.1 Why Model Networks? 3

1.2 A Set of Examples 4

1.3 Exercises 17

Chapter 2: Representing and Measuring Networks 20

2.1 Representing Networks 20

2.2 Some Summary Statistics and Characteristics of Networks 30

2.3 Appendix: Basic Graph Theory 43

2.4 Appendix: Eigenvectors and Eigenvalues 49

2.5 Exercises 51

Chapter 3: Empirical Background on Social and Economic Networks 54

3.1 The Prevalence of Social Networks 55

3.2 Observations on the Structure of Networks 56

PART II: MODELS OF NETWORK FORMATION

Chapter 4: Random-Graph Models of Networks 77

4.1 Static Random-Graph Models of Random Networks 78

4.2 Properties of Random Networks 86

4.3 An Application: Contagion and Diffusion 105

4.4 Distribution of Component Sizes 107

4.5 Appendix: Useful Facts, Tools, and Theorems 110

4.6 Exercises 121

Chapter 5: Growing Random Networks 124

5.1 Uniform Randomness: An Exponential Degree Distribution 125

5.2 Preferential Attachment 130

5.3 Hybrid Models 134

5.4 Small Worlds, Clustering, and Assortativity 141

5.5 Exercises 150

Chapter 6: Strategic Network Formation 153

6.1 Pairwise Stability 154

6.2 Efficient Networks 157

6.3 Distance-Based Utility 159

6.4 A Coauthor Model and Negative Externalities 166

6.5 Small Worlds in an Islands-Connections Model 170

6.6 A General Tension between Stability and Efficiency 173

6.7 Exercises 179

PART III: IMPLICATIONS OF NETWORK STRUCTURE

Chapter 7: Diffusion through Networks 185

7.1 Background: The Bass Model 187

7.2 Spread of Information and Disease 189

7.3 Search and Navigation on Networks 209

7.4 Exercises 221

Chapter 8: Learning and Networks 223

8.1 Early Theory and Opinion Leaders 224

8.2 Bayesian and Observational Learning 225

8.3 Imitation and Social Influence Models: The DeGroot Model 228

8.4 Exercises 253

Chapter 9: Decisions, Behavior, and Games on Networks 257

9.1 Decisions and Social Interaction 258

9.2 Graphical Games 269

9.3 Semi-Anonymous Graphical Games 273

9.4 Randomly Chosen Neighbors and Network Games 279

9.5 Richer Action Spaces 286

9.6 Dynamic Behavior and Contagion 293

9.7 Multiple Equilibria and Diffusion in Network Games 297

9.8 Computing Equilibria 304

9.9 Appendix: A Primer on Noncooperative Game Theory 308

9.10 Exercises 319

Chapter 10: Networked Markets 327

10.1 Social Embeddedness of Markets and Exchange 328

10.2 Networks in Labor Markets 334

10.3 Models of Networked Markets 353

10.4 Concluding Remarks 365

10.5 Exercises 366

PART IV: METHODS, TOOLS, AND EMPIRICAL ANALYSES

Chapter 11: Game-Theoretic Modeling of Network Formation 371

11.1 Defining Stability and Equilibrium 372

11.2 The Existence of Stable Networks 377

11.3 Directed Networks 383

11.4 Stochastic Strategic Models of Network Formation 388

11.5 Farsighted Network Formation 395

11.6 Transfers and Network Formation 399

11.7 Weighted Network Formation 402

11.8 Agent-Based Modeling 406

11.9 Exercises 407

Chapter 12: Allocation Rules, Networks, and Cooperative Games 411

12.1 Cooperative Game Theory 412

12.2 Communication Games 416

12.3 Networks and Allocation Rules 419

12.4 Allocation Rules When Networks Are Formed 425

12.5 Concluding Remarks 430

12.6 Exercises 430

Chapter 13: Observing and Measuring Social Interaction 434

13.1 Specification and Identification 435

13.2 Community Structures, Block Models, and Latent Spaces 443

13.3 Exercises 457

Afterword 459

Bibliography 461

Index 491

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