M3S11 and M4S11

GAMES, RISKS AND DECISIONS

GAME THEORY

Two-person Zero-sum games
Pure Strategy Saddle-Points
Randomised Strategies
Maximin and Minimax Strategies
Admissibility
Equilibrium Pairs
Equaliser Strategies
S-games
The Minimax Theorem
Bayes Strategies
Non Zero-sum Games
Non-Cooperative Games
Prisoners' Dilemma
Evolutionary Stable Strategies
Cooperative Games
Pareto Optimality

UTILITY THEORY

The Lottery Axioms
The Existence of a Unique Utility Function
The Utility of Money
Constructing a Utility Function

BAYESIAN METHODS

Prior and Posterior Distributions
Non-informative priors
Bayesian Estimation

DECISION THEORY

Loss Functions
Risk
Decision Rules
Bayes Rules
Estimation as a Decision problem
Minimax Decision Rules
Decision Trees

• Booklist

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• Exercises

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Lynda White
Room 657
Email: l.white@imperial.ac.uk