Instructor: Justin Grana

Complex systems models and network dynamics often hinge upon simple mathematical concepts. In part one of Postdoctoral Fellow Justin Grana's game theory tutorial, we learn one of the most basic tools in the complexity science arsenal. 

In part one of Dr. Grana's tutorial, you'll learn the elements of a game, the normal game form and the logic of co-decision making. Prisoner's dilemma, coordination games and several other canonical game forms will be covered, and students should expect to have a strong understanding of the underpinnings of game theory, in service of the more complex models we will build in part two. 

This tutorial is designed for those with a familiarity with high school level algebra. There is one calculus-based unit, which can be skipped. 

 

Syllabus
1. What is Game Theory?
2. Elements of a Game and Normal Form Representation
3. Nash Equilibrium
4. Two examples - Dominant Strategies and Coordination Games
5. Mixed Strategy Nash Equilibrium
6. A Brief Historical Interlude
7. A Calculus-Based Example
8. Bayesian Games: Introducing Unertainty
9. Example: Cyber Security
10. Tragedy of the Commons
11. Summary