Prior content: None
Previous Section: Dynamic Programming*
Next Section: Recurrence Relations
Contents
- Whole Topic Notes
- 6A Play-Safe Strategies and Stable Solutions
- 6B Reducing the Pay-off Matrix*
- 6C Optimal Strategies for Games with No Stable Solution
- 6D Converting Games to Linear Programming Problems*
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Full Notes to Accompany Examples
Dr Frost
- Dr Frost Decision 2 Game Theory Section
6A Play-Safe Strategies and Stable Solutions
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 940a: Form a pay-off matrix to represent a two-person game.
- 940b: Determine the play-safe strategy for each player given a pay-off matrix.
- 940c: Form a pay-off matrix for a zero-sum two-person game.
- 940d: Determine the pay-off matrix in a zero-sum game for the second player, given the pay-off matrix for the first player.
- 940e: Determine the play-safe strategy for each player given a pay-off matrix in a zero-sum game.
- 940f: Determine whether a zero-sum game has a stable solution (i.e. is in Nash equilibrium) by use of the stable solution theorem.
- 940: Exam Practice: Game theory
Worksheets
6B Reducing the Pay-off Matrix*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
6C Optimal Strategies for Games with No Stable Solution
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 940h: Find the expected pay-offs for a mixed strategy, where probabilities are assigned to each choice.
- 940i: Find the optimal mixed strategy for a player in a two-person zero-sum 2×2 game with a given pay-off matrix.
- 940j: Find the optimal mixed strategy for a player in a two-person zero-sum 2× n or n×2 game with a given pay-off matrix, where n > 2
- 940: Exam Practice: Game theory
6D Converting Games to Linear Programming Problems*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost