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Santa Fe Institute

Game Theory I - Static Games

Santa Fe Institute via Complexity Explorer

Overview

Game theory is the standard quantitative tool for analyzing the interactions of multiple decision makers. Its applications extend to economics, biology, engineering and even cyber security. Furthermore, many complex systems involve multiple decision makers and thus a full analysis of such systems necessitates the tools of game theory. This course is designed to provide a high-level introduction to static, non-cooperative game theory. The main goal of this course is to introduce students to the idea of a Nash Equilibrium and how the Nash Equilibrium solution concept can be applied to a number of scenarios. Students are assumed to be familiar with the concept of expected value and the basics of probability. While calculus is not required for the majority of the course, lesson 7 focuses on an example that employs calculus. However, lesson 7 can be skipped without any harm in understanding lessons 8 − 10.

Syllabus

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

 

Taught by

Justin Grana

Reviews

4.4 rating, based on 8 Class Central reviews

Start your review of Game Theory I - Static Games

  • Anonymous
    Very good tutorial, with great explanations about the basic concepts. A little bit too rushed for the more complex examples (calculus, Bayesian), but overall a solid 4/5!
  • Anonymous
    The terrible handwriting on the fake blackboard makes my head hurt, impossible to actually concentrate on trying to solve anything. I gave up quite quickly.
  • Anonymous
    This was a wonderful course to follow, in which the teacher managed to explain a complex subject in a wonderfully clear way, providing easy-to-understand examples and using a motivating hands-on approach that helps to grasp the course's concepts faster and better, also for students with no previous knowledge. Highly recommended!
  • Anonymous

    Very interesting tutorial. Prof.Grana explains very well the fundamental concepts of Game Theory.

    The proposed exercises clarify in an easy way to understand the presented concepts.
  • Andrew Watters
    Great course offering a thorough overview of basic game-theory fundamentals. Low time commitment with solid practical examples and exercises throughout.
  • David Tain
    The course was amazing and the videos extremely helpful and well organized. I highly recommend taking this along with Game Theory II (Dynamic Games)
  • Anonymous
    good course! complete and concrete. I really recommend taking the next course. gives you a general overview on the theory of games
  • Anonymous
    The course was very clear and all the lessons had very good examples. The classes covered the subject in a fast and effective way.

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