Toronto Metropolitan University
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A Study of the Distribution of Money in Exchange Networks of Agents

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posted on 2024-06-19, 00:33 authored by Siavash Rezaei

We investigate network models of economic agents that exchange money with their neighbors. These models are closely related to thermodynamic models of inert gasses modelled by the Boltzmann distribution. We are interested in the stationary distribution of money that is reached after many exchanges.

We explore two types of networks, static networks and stochastic dynamic networks, where connectivity of the graph changes as a function of the money distribution. We present theoretical results and simulations for different variants of the dynamic graph model. Furthermore, we examine the properties of the stochastic networks that emerge out of the dynamic network models at equilibrium. We also present a stochastic matrix model for simulating evolution of an individual agent in static networks.

History

Language

English

Degree

  • Master of Science

Program

  • Applied Mathematics

Granting Institution

Ryerson University

LAC Thesis Type

  • MRP

Thesis Advisor

Anthony Bonato

Year

2022

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    Applied Mathematics (Theses)

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