The 2014-2015 exam can be found here

  1. 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.

    1. Bookwork;
    2. This question should be relatively straightforward asking the students to identify best responses to pure strategies;
    3. This question asks students to plot the utilities, it requires the knowledge of mixed strategies with an ability to plot a line;
    4. Repetition of previous question;
    5. 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).
    6. 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.

  2. 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).

    1. Bookwork.
    2. Bookwork and a basic application (simple linear equality).
    3. Bookwork.
    4. Bookwork.
    5. This requires some heavy algebra but follows a routine process in this specific aspect of game theory.
    6. A tiny interpretation of the results.

  3. This question is a mix of bookwork and application of basic formulae.

    1. Bookwork.
    2. Bookwork.
    3. Two worked example, if students have revised this portion of the course, this should be very straightforward.
    4. Bookwork from homework sheets (if students attempted the homework and/or looked at solution this should be straightforward).
    5. 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.

Solution available