Mathematics of Games

ResponsibleDr. Jens Maßberg
AssistantSimon Jäger

Corrector

 

Meant for

Bing Xue

 

Master Ma/WiMa/Finance/Wiwi/CSE

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

Place and TimeCourse:
  • Every Monday, 12pm-14pm in Room H14
  • Every Tuesday, 10am-12pm in Room H13
Exercises: 
  • Every Thursday, 8am-10am in Room N24 - 226

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

  • There is a moodle page for this course where you will find the exercise sheets and the script. Please register to this course:   MOODLE
  • There will be an exam at the end of the semester. You need a "Vorleistung" in order to participate in the exam.
  • The "Vorleistung" is given to those who have obtained at least 50% out of the total number of exercise points.
  • There will be a total of 12 Exercise Sheets.
  • Registration for an exam is allowed until 4 days before it takes place, according to university rules.
  • The exams are the same for all master fields.

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

 

News

  • First class is on Monday, the 13th of April.
  • On Thursday, the 16th there will be a class instead of an exercise.
  • Please register to the moodle page of this course: MOODLE
  • If available, please bring a mobile device (mobile phone, tablet, notebook, ...) to the class which is able to connect to the university's WiFi.