Sunday, September 11, 2011

Topic: Game Theory

On this blog, I will sometimes discuss ideas over the course of multiple posts. I will call these ideas Topics, and collect them in posts like this one.

Game theory is a branch of mathematics dealing with the interactions between agents capable of making decisions. It provides understanding of how to benefit oneself as well as how to benefit both oneself and others, and can provide interesting insights into society.

  1. Notation and Basic Concepts
  2. Dominating Strategies
  3. Utility Functions 
  4. Non-Zero-Sum Games: Chicken 
  5. Non-Zero-Sum Games: The Simple Prisoner's Dilemma 
  6. Cyclic Games: The Iterated Prisoner's Dilemma I: Reciprocal Relationships 
  7. Cyclic Games: The Iterated Prisoner's Dilemma II: The End of the Game.
  8. Metagames: The Battle of the Sexes 
  9. Coordination and Anti-Coordination 
  10. Metagames: Extortion 
  11. Metagames: The Punishing Prisoner's Dilemma 
  12. Randomness 

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