Evolution and the theory of games, spring 2013
A game is a mathematical model of a situation of conflict of interests in which the optimal strategy for one player not only depends on his own decisions but also on the decisions of his opponents. The course is an introduction to game theory with emphasis on applications in evolutionary and behavioural biology.
Weeks 3-9 and 11-18, Monday 14-16 and Wednesday 14-16 in room C122. Two hours of exercise classes per week.
Easter holiday 28.3.-3.4.
Exam date: 14th of May at 14.00 in room B322. (Notice the change of the room!)
Lecture notes are available in pdf version below.
Below you will find a link to a feedback page, where you can express (anonymously) your thoughts about the course. In particular, it would be interesting to know whether some topics dealt in the course were too superficial/too detailed, or whether you have suggestions for future topics, or whether the course material should be improved (and if so, in which way), or etc.. ALL COMMENTS ARE WELCOME!
Link to the feedback page (note that the textbox can be enlarged by dragging the bottom right corner)
Lecture notes and topics:
Lecture notes (latest update 27.4.): Evolution and the theory of games
lecture topics - period III
16.1. An introduction
21.1. Dominated strategies, mixed strategies
28.1. More solution concepts, Nash equilibrium
30.1. Nash existence theorem, Bishop-Cannings theorem
4.2. Evolutionary stable strategies
6.2. ESS + propositions
11.2. The evolution of sex the ratio
13.2. Infinite strategic form + War of attrition
18.2. War of attrition and Hawk-Dove game; Asymmetric games
20.2. Asymmetric games, examples
25.2. Lecture cancelled
27.2. Recapitulation + games
week 10 - no lectures
lecture topics - period IV
11.3. Public good game + iterated games
13.3. Iterated games, examples
18.3. Iterated games, formal description + properties
20.3. Iterated games, formal description + properties CONTINUES
25.3. Iterated games - theorems
27.3. Subgame perfection
no exercises (Easter holiday)
1.4. No lecture (Easter holiday)
3.4. No lecture (Easter holiday)
8.4. Subgame perfection and other NE refinements
10.4. Trembling-hand Perfect NE, IPD with mistakes
15.4. IPD with mistakes, Signalling games
17.4. Signalling games, Multi-stage games
22.4. Signalling games, Multi-stage games
24.4. Recap + IPD tournament (Tournament instructions)