Game Theory

Code:

M574

Acronym:

M574

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2017/2018 - 2S

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

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
IUD-M	0	PE do Prog Inter-Univ Dout Mat	1	-	9	60	243

Teaching language

English

Objectives

The main objective of the course is to introduce in a rigorous way the fundamentals of Game Theory, with particular emphasis on Nash equilibria.

Learning outcomes and competences

It is pretended that the students are able to deal with the main concepts of game theory and the mathematical tools that are more relevant to its analysis.

Working method

Presencial

Program

Static and dynamic games of complete and incomplete information; mechanism design and the revelation principle; perfect bayesian equilibrium in multi-stage games of incomplete information; signaling games; stochastic games; differential games; evolutionary dynamics; introduction to general equilibrium theory and applications of game theory to sociology, economcs, energy and biology.

Mandatory literature

Gibbons Robert; A primer in game theory. ISBN: 0-7450-1159-4
Fudenberg Drew; Game theory. ISBN: 9780262061414
Hofbauer Josef; Evolutionary games and population dynamics. ISBN: 9780521625708
Weibull Jõrgen W.; Evolutionary game theory. ISBN: 0-262-23181-6

Complementary Bibliography

Jeltsch Rolf 340; Dynamics, games and science. ISBN: 978-3-319-16117-4
Peixoto Maurício Matos 1921- 340; Dynamics, games and science. ISBN: 978-3-642-11455-7 1o v.

Comments from the literature

A. N. Yannacopoulos; Aspects of stochastic control in Finance and Economics, 2012 (I Escola de Inverno em Dinâmica Estocástica e Controlo em Finanças e Economia; Lisboa 2012; Lecture 4)
Aloísio Araújo; Introdução à Economia Matemática, IMPA, 1983

Deepak Rajagopal, Gal Hochman, and David Zilberman; A Simple Framework for Regulation of Biofuels, Springer , 2010 (M. Khanna et al. (eds.), Handbook of Bioenergy Economics and Policy, Chapter 13)
Deepak Rajagopal and David Zilberman; Environmental Lifecycle Assessment for Policy Decision-Making and Analysis, Farm Foundation, 2008 (Joe L. Outlaw and David P. Ernstes; The Lifecycle Carbon Footprint of Biofuels Proceedings of a conference January 29, 2008, in Miami Beach, FL.)
Gal Hochman, Steven Sexton and David Zilberman; The Economics of Trade, Biofuel, and the Environment, 2009
Daron Acemoglu, Philippe Aghion, Leonardo Bursztyn and David Hemous; The Environment and Directed Technical Change (The American Economic Review)
K. J. Arrow, H. B. Chenery, B. S. Minhas and R. M. Solow; Capital-Labor Substitution and Economic Efficiency, 1961 (The Review of economics and Statistics, Volume 43, Issue 3 (Aug., 1961), 225-250.)
R. Soeiro, A. Mousa, T. Oliveira and A. A. Pinto ; Dynamics of Human Decisions. Accepted for publication, Journal of Dynamics and Games, (2012) 1-25

Teaching methods and learning activities

Presentation of the topics of the course and scientific discussion with the students

Evaluation Type

Distributed evaluation without final exam

Assessment Components

designation	Weight (%)
Apresentação/discussão de um trabalho científico	40,00
Participação presencial	20,00
Trabalho escrito	40,00
Total:	100,00

Calculation formula of final grade

Written Work - 40%
Presentation of the work - 40%
Participation in classes - 20%