This question covers basic aspects of Normal form games which have been covered many times in class. Whilst the solutions might make it appear to be a long question I would consider it to be the easiest of the Game Theoretic questions with routine concepts.
- This question should be relatively straightforward asking the students to identify best responses to pure strategies;
- This question asks students to plot the utilities, it requires the knowledge of mixed strategies with an ability to plot a line;
- Repetition of previous question;
- This question asks students to state and prove a theorem (the proof is 4 lines of algebra and is bookwork). After stating the theorem the students are expected to apply it to the above problem (this is equivalent to solving two linear equations).
- This questions asks student to think a bit, but the question does link to a previously seen homework question. If students recognize what the question is asking for, this only requires a very simple plot.
This question considers evolutionary games and culminates in one of the more complicated algebraic processes. This is actually a routine process in this part of the course and one that students would have done multiple times (homework sheets etc).
- Bookwork and a basic application (simple linear equality).
- This requires some heavy algebra but follows a routine process in this specific aspect of game theory.
- A tiny interpretation of the results.
This question is a mix of bookwork and application of basic formulae.
- Two worked example, if students have revised this portion of the course, this should be very straightforward.
- Bookwork from homework sheets (if students attempted the homework and/or looked at solution this should be straightforward).
- Bookwork from homework sheets (if students attempted the homework and/or looked at solution this should be straightforward), this second proof is more involved than the previous one.