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# Social and Economic Networks: Models and Analysis

## Course Syllabus

- Week 1: Introduction, Empirical Background and Definitions

Examples of Social Networks and their Impact, Definitions, Measures and Properties: Degrees, Diameters, Small Worlds, Weak and Strong Ties, Degree Distributions

- Week 2: Background, Definitions, and Measures Continued

Homophily, Dynamics, Centrality Measures: Degree, Betweenness, Closeness, Eigenvector, and Katz-Bonacich. Erdos and Renyi Random Networks: Thresholds and Phase Transitions,

- Week 3: Random Networks

Poisson Random Networks, Exponential Random Graph Models, Growing Random Networks, Preferential Attachment and Power Laws, Hybrid models of Network Formation

- Week 4: Strategic Network Formation

- Week 5: Diffusion on Networks.

Empirical Background, The Bass Model, Random Network Models of Contagion, The SIS model, Fitting a Simulated Model to Data

- Week 6: Learning on Networks.

Bayesian Learning on Networks, The DeGroot Model of Learning on a Network, Convergence of Beliefs, The Wisdom of Crowds, How Influence depends on Network Position.

- Week 7: Games on Networks.

## Recommended Background

## Suggested Readings

*optional*and not required for the course. Additional background readings, including research articles and several surveys on some of the topics covered in the course can be found on my web page.

## Course Format

The course will run for eight weeks. Each week there will be video lectures available, as well as a standalone problem set and some occasional data exercises, and there will be a final exam at the end of the course for those who wish to earn a course certificate.

**Will I get a Statement of Accomplishment after completing this class?**

Yes. Students who successfully complete the class will receive a Statement of Accomplishment signed by the instructor.

## Instructor(s)

## Matthew O. Jackson

### William D. Eberle Professor of Economics, Stanford University

Matthew O. Jackson is the William D. Eberle Professor of Economics at Stanford University and an external faculty member of the Santa Fe Institute and a fellow of CIFAR. Jackson's research interests include game theory, microeconomic theory, and the study of social and economic networks, on which he has published many articles and the book Social and Economic Networks.

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