Game Theory

Code:

M383

Acronym:

M383

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2015/2016 - 2S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:M	25	Plano de estudos a partir de 2009	3	-	7,5	63	202,5

Teaching language

Portuguese

Objectives

Introduction to Game Theory and its applications.

Learning outcomes and competences

To acquire knowledge on the theory of impartial combinatorial games, as well as on the classical game theory with applications to economics.

Working method

Presencial

Program

Impartial combinatorial games. Decidibility, equivalence relation, mex rule, representation by digraphs. Sprague-Grundy function. Misère Nim.

Static games of complete information. Normal form. Nash equilibrium. Mixed and pure strategies. Bertrand duopoly. Final offer arbitration. The problem of the commons. Social optimum. Nash theorem.

Dynamic games of complete information. Extensive form. Subgame perfect Nash equilibrium. Stackelberg duopoly. Graphical analysis of Nash equilibria. Repeated games. Stationary strategies and stationary Nash equilibrium of a repeated game. Infinitely repeated games. Subgame perfect Nash equilibrium for infinitely repeated games. Friedman's theorem.

Mandatory literature

Gibbons Robert; A primer in game theory. ISBN: 0-7450-1159-4
Siegel Aaron N. 1977-; Combinatorial game theory. ISBN: 9780821851906
Ferguson Thomas; http://www.math.ucla.edu/~tom/Game_Theory/Contents.html

Teaching methods and learning activities

Lectures and classes: The contents of the syllabus are presented in the lectures, illustrated with several examples. In the practical classes, exercises and related problems are solved and discussed.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	60,00
Trabalho escrito	40,00
Total:	100,00

Calculation formula of final grade

The final grade will be obtained by the weighted average of 60% of the exam grade and 40% of the homework grade.