Mathematics of Complex Systems - Part 1: Agent-based modeling
Master 2 Economics of Global Risks
(See also the Workshop on the Complexity of eco-systems at the bottom of the page)
Synopsis of the course
Chapter 1: How economics usually model the economy? - Slides
Chapter 2: Shortcomings of the standard approach and a potential alternative - Slides
Chapter 3: An introduction to NetLogo - Slides - Example NetLogo program (Right-click+ Save the link as…)
Evaluation project: Cournot oligopoly with best-reply learning
Resources on NetLogo:
NetLogo official web site
Dictionary of NetLogo
Quick Introduction to NetLogo par Luis R. Izquierdo
Tutoriels en vidéo sur YouTube par Gabriel Wurzer
Arthur, W. Brian, Durlauf, Steven, & Lane, David A. 1997. The Economy as an Evolving Complex System II. Reading: MA: Addison-Wesley.
Bonabeau, E., 2002, Agent-based modeling: Methods and techniques for simulating human systems, Proceedings of National Academy of Sciences, 3, 7280-7287.
Bousquet, F, C. LePage, 2004, Multi-agent simulations and ecosystem management: a review, Ecological Modelling, 176, 313–332.
Holland, John H. 1996. Hidden Order. How Adaptation Builds Complexity. Reading (MA): Addison-Wesley.
Miller, John H., & Page, Scott E. 2007. Complex Adaptive Systems. Princeton University Press.
Railsback, Steven F., & Grimm, Volker. 2012. Agent-based and Individual-based Modeling. A practical introduction. Princeton University Press.
Schelling, Thomas C. 2006. Micromotives and Macrobehavior. W.W. Norton.
Wilensky, Uri, & Rand, William. 2015. An introduction to Agent-based Modeling. Modeling natural, social, and engineered complex systems with NetLogo. MIT Press.
Workshop on Complexity of Ecosystems (Part 2: NetLogo)
This course module applies the concepts and tools learned above to a specific problem: Developing a small model of fishing in space, integrating the management of natural resources and economic behaviors of fishers.
The students will progressively create an agent-based model in NetLogo that implements, and complements the framework proposed in
Moustakas, A., W. Silvert, A. Dimitromanolakis, 2006, A spatially explicit learning model of migratory fish and fishers for evaluating closed areas, Ecological Modelling, 192, 245-258.
Step 1: A minimalistic model of fisheries
Step 2: Modeling the behavior of the fishing boats
Step 3: Modeling the behavior of fish schools
Step 4: Simple economics of fishing