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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.

Lecturer

PhD Tadeas Priklopil

Scope

10 cu.

Type

Advanced studies

Lectures

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.

Exams

Exam date: 14th of May at 14.00 in room B322. (Notice the change of the room!) 

Bibliography

Lecture notes are available in pdf version below.

Exercise groups

Group

Day

Time

Place

Instructor

1.

Thursday

10-12

C122

Tadeas Priklopil

 


Feedback

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
exercises
solutions
week 3
16.1. An introduction
  
week 4
21.1. Dominated strategies, mixed strategies
  
week 5
28.1. More solution concepts, Nash equilibrium
Exercises 31.1.
Solutions 31.1.
 
30.1. Nash existence theorem, Bishop-Cannings theorem
  
week 6
4.2. Evolutionary stable strategies
Exercises 7.2.
Solutions 7.2. 
 
6.2. ESS + propositions
  
week 7
11.2. The evolution of sex the ratio
Exercises 14.2.
Solutions 14.2.
 
13.2. Infinite strategic form + War of attrition
  
week 8
18.2. War of attrition and Hawk-Dove game; Asymmetric games
No Exercises
 
 
20.2. Asymmetric games, examples
  
week 9
25.2. Lecture cancelled
Exercises 28.2.
Solutions 28.2.
 
27.2. Recapitulation + games
  
    
    

 

week 10 - no lectures

 

 

 
lecture topics - period IV
exercises
solutions
week 11
11.3. Public good game + iterated games
  
 
13.3. Iterated games, examples
No exercises
 
week 12
18.3. Iterated games, formal description + properties
  
 
20.3. Iterated games, formal description + properties  CONTINUES
Exercises 21.3. 
Solutions 21.3.
week 13
25.3. Iterated games - theorems 
  
 
27.3. Subgame perfection
no exercises (Easter holiday)
 
week 14
1.4. No lecture (Easter holiday)
  
 
3.4. No lecture (Easter holiday)
 
 
week 16
8.4. Subgame perfection and other NE refinements
  
 
10.4. Trembling-hand Perfect NE, IPD with mistakes 
Exercises 11.4.
Solutions 11.4.
week 17
15.4. IPD with mistakes, Signalling games
  
 
17.4. Signalling games, Multi-stage games
Exercises 18.4.
Solutions 18.4.
week 18
22.4. Signalling games, Multi-stage games
  
 
24.4. Recap + IPD tournament (Tournament instructions)
Exercises 25.4.
Solutions 25.4.

 

 

 

Material on the web:

VirtualLabs

GameTheory.Net

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