Economic Networks

This textbook is an introduction to economic networks, intended for students and researchers in the fields of economics and applied mathematics. The textbook emphasizes quantitative modeling, with the main underlying tools being graph theory, linear algebra, fixed point theory and programming. The text is suitable for a one-semester course, taught either to advanced undergraduate students who are comfortable with linear algebra or to beginning graduate students.

Chapter 1: Introduction

1. Motivation
2. Spectral Theory
3. Probability
4. Graph Theory

Chapter 2: Production

1. Multisector Models
2. General Equilibrium
3. More Spectral Theory

Chapter 3: Optimal Flows

1. Shortest Paths
2. Linear Programming and Duality
3. Optimal Transport

Chapter 4: Markov Chains and Networks

1. Markov Chains as Digraphs
2. Asymptotics

Chapter 5: Nonlinear Interactions

1. Fixed Point Theory
2. Financial Networks

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