Mathematics of Games

ResponsibleDr. Lucia Penso
AssistantSimon Jäger

Corrector

Meant for

Olga Graf, Carina Ziegler

Master Ma/WiMa/Finance/Wiwi/CSE

Type MATH, 9LP, 4 Hours Course, 2 Hour Exercises (4+2)

Place and TimeCourse:
  • Monday, 12pm-2pm in Auditorium H14
  • Tuesday, 10am-12pm in Auditorium H13
Exercises: 
  • Wednesday, 2pm-4pm in Auditorium H15

First Exam:

  • on Thursday, the 27th of July

Second Exam:

  • on Friday, the 13th of October

Content

Game theory is the study of multiperson decision problems. Such problems arise frequently in competitive scenarios where knowledge is distributed, such as in economics.  For instance, oligopolies incorporate multiperson problems: each one must consider what the others will do in order to achieve success in a competitive environment. The same happens in auctions, where several people might be interested in the very same item. How to act in the best of ways when competition is present among participants with conflictive interests? Does cooperation help in such a scenario? In which cases?

In this class, we will cover a handful of models in game theory, including models of static and dynamic information, as well as of complete and incomplete information. We will also study a variety of stable optimal solutions, including: nash equilibrium, subgame-perfect equilibrium, bayesian equilibrium, perfect bayesian equilibrium. 

Several examples are given, such as in the context of oligopolies, auctions, bargaining, tariff and wage competition, cooperative games, finite and infinite repeated games, zero sum games, signaling games, mechanism design, reputation.


Information

  • This is an open exam course.
  • Class starts on Tuesday, the 18th April, from 10am-12pm in Auditorium H13. 
  • Classes will be held on Monday and on Tuesday, and the exercise classes on Wednesday. 
  • On Wednesday, the 19th April, there will be a class instead of an exercise class. 
  • If you are taking this class, you might also be interested in the block-seminar.


ExercisesThe exercise sheets are published at our Moodle-page

Literature
  • Game Theory, Drew Fudenberg, Jean Tirole, ANE Books (2005) - Main Book 

 

News

The first lecture will be on April 18, 2017.