Harry R. Lloyd

harry [dot] lloyd [at] yale [dot] edu

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Game Theory, 2019

• Synopsis of the course

Supplementary notes:

1. Types of strategies and beliefs
2. Table of notation for simultaneous-move games
3. Strategic games
4. Bayesian games
5. Correlated equilibrium
6. Modelling knowledge
7. Behavioural game theory
8. Extensive-form games 1
9. Extensive-form games 2
10. Bargaining
11. Evolutionary game theory 1
12. Evolutionary game theory 2
13. Information transmission games
14. VCG mechanisms
15. The Gale-Shapley matching algorithm
16. Repeated games
17. Time discounting

The above notes are intended to be used as a supplement to the lectures and to Osborne's Introduction to Game Theory. They contain: summaries of some important theorems and concepts; guidance on best-practice 'procedures' for approaching certain sorts of problems. Practical examples of these 'procedures' are available here:

• Finding all NE in a game with discrete strategy spaces
• IESDS
• Finding ESS [some algebraic stages omitted for sake of brevity]
• Finding minmax payoffs, procedure #1 [examples of procedure #2 can be found elsewhere; procedure #2 is much simpler, and should always be tried first]

There may well be errors in these supplementary notes or example workings: please let me know if you think you've found any. In the meantime exercise due care -- make sure that any passages you use for revision are consistent with your understanding of the textbook and the lectures.