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

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Game Theory, 2019

Supplementary notes:

- Types of strategies and beliefs
- Table of notation for simultaneous-move games
- Strategic games
- Bayesian games
- Correlated equilibrium
- Modelling knowledge
- Behavioural game theory
- Extensive-form games 1
- Extensive-form games 2
- Bargaining
- Evolutionary game theory 1
- Evolutionary game theory 2
- Information transmission games
- VCG mechanisms
- The Gale-Shapley matching algorithm
- Repeated games
- 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.