Facultatea de Științe Economice și Gestiunea Afacerilor
Str. Teodor Mihali nr. 58-60
Cluj-Napoca, RO-400591
DETAILED SYLLABUS
Elements of Game Theory
1.
Information about the program
1.1 Higher education institution
1.2 Faculty
1.3 Department
1.4 Field of study
1.5 Study cycle
1.6 Specialization/Program of study
2.
Tel.: 0264-41.86.52-5
Fax: 0264-41.25.70
econ@econ.ubbcluj.ro
www.econ.ubbcluj.ro
Babes-Bolyai University Cluj-Napoca
Faculty of Economics and Business Administration
Statistics-Forecasts- Mathematics
Finance
Undergraduate studies
Finance and Banking
Information about the discipline
2.1 Discipline title
Elements of Game Theory
2.2 The holder of the course
Assoc. Prof. dr. Paula CURT
activities
2.3 The holder of the seminar
Assoc. Prof. dr. Paula CURT
activities
2.4 Year of study
3.
III 2.5 Semester
6
ES (i.e.
summative
2.6 Type of assessment
2.7 Discipline regime
examination
)
OP(op
tional)
Total time estimated (hours per semester of teaching)
3.1 Number of hours per week
3
From which: 3.2 course
2
3.3 seminar/laboratory
1
3.4 Total hours of curriculum
36 From which: 3.5 course
24
3.6 seminar/laboratory
12
Time distribution
Study after textbook, course support, bibliography and notes
Additional documentation in library, on specialized electronic platforms and on the field.
Preparing seminars/laboratories, essays, portfolios and reports.
Tutoring
Examinations
Others activities...................................
3.7 Total hours for individual
64
study
3.8 Total hours per semester
100
3.9 Number of credits
4
4.
Preconditions (if necessary)
4.1 Of curriculum
4.2 Of skills
- knowledge of linear programming , probability and analytic geometry
- logical reasoning skills and knowledge of curriculum specified above
NOTE: This document represents an informal translation performed by the faculty.
Hour
s
18
18
18
6
4
5.
Conditions (if necessary)
5.1. For conducting the
course
5.2. For conducting
seminar/laboratory
Students will be present at the scheduled time
Students will be present at the scheduled time
Some of the seminars should be held in a room with computers on which Excel
6. Specific skills acquired
Profess •
•
ional
skills
To get used to collect, process, analyse and interpret data needed for game modelling
To acquire basic concepts and to develop skills that are used in organizing and participating in
economic research and financial phenomena using game theory
Transv •
ersal
•
skills
Applying the principles, the norms and the ethical values of the profession such that the graduates are
able to construct a rigorous, efficient and responsible strategy of work.
The ability to identify the roles and responsibilities within a team of complex tasks, being able to
insure with the rest of the teammates an efficient team work
The ability to identify the opportunities for continuous professional development and the efficient use
of all the identified resources and techniques.
•
7. Course objectives (arising from grid of specific skills acquired)
7.1 General objective of the
discipline
Acquainting students with mathematical methods and techniques used in
modeling certain situations of different interests
7.2 Specific objectives
Assimilation of the basic concepts related to the player, strategy (moves,
decision), gain, solution (equilibrium point) and learning to handle them
Developing reasoning basis and computation techniques for applications in
the economic domain
8.
Contents
Teaching
Observations
methods
The professor
Two persons, zero sum games
gives a talk and
Saddle points, Mixed strategies, The minimax theorem. Matrix games and linear encourages
3 courses
programming
discussions on the
theme.
The professor
gives a talk and
Two-person general sum games. Non-cooperative theory. The definition of nonencourages
3 courses
cooperative game, strategies, payoff function, equilibrium points.
discussions on the
theme
The professor
Two-person general sum games. Cooperative theory.
gives a talk and
Cooperative games with transferable utilities. Cooperative games without
encourages
3 courses
transferable utilities.
discussions on the
theme
The professor
Games in coalitional form
gives a talk and
n-person transferable utility games, Imputations and the core, The Shapley value, encourages
3 courses
The Shapley-Shubik Power Index. The nucleous.
discussions on the
theme
8.1 Course
NOTE: This document represents an informal translation performed by the faculty.
Bibliography:
1. Binmore, K., Playing Fair: Game Theory and the Social Contract I. Cambridge: MIT Press,1994
2. Binmore, K., Just Playing: Game Theory and the Social Contract II. Cambridge: MIT Press., 1998
3. Dixit, Avinash K., and Susan Skeath. Games of Strategy. Second Ed. New York: W.W. Norton &
Company, 2004
4. Gibbons, R., Games theory for applied economists, Princeton Univ. Press, New Jersey, 1992
5. Mureşan, A.S., Non-cooperative games, Ed. Mediamira, Cluj-Napoca, 2003
6. von Neumann, John, Oskar Morgenstern. Theory of Games and Economic Behavior. Princeton, NJ:
Princeton University Press, 1944
7. Osborne, Martin. An Introduction to Game Theory. New York: Oxford University Press, 2003.
8. Osborne, M., Rubenstein A., A Course on Game Theory. Cambridge, MA: MIT Press, 1994
9. Owen, G., Games theory, (2-nd edition), Academic Press, New York, 1982
Wang, J., The theory of games, Clarendon Press, Oxford, 1988
Teaching
8. 2 Seminar/laboratory
Observations
methods
Two persons, zero sum games
Analysis of terms 2 seminars
Solutions for 2 x 2, 2 x n and m x 2 matrix games
and concepts,
Solutions for 3 x 3 matrix games. The simplex algorithm
discussions, case
studies,
discussion of the
homework
projects, etc.
Two-person general sum games. Non-cooperative theory.
Analysis of terms 2 seminars
Economical applications of games theory (The Cournot’s model of duopoly,The and concepts,
Bertrand’s model of duopoly)
discussions, case
studies,
discussion of the
homework
projects, etc.
Two-person general sum games. Cooperative theory.
Analysis of terms 1 seminar
Economical applications
and concepts,
discussions, case
studies,
discussion of the
homework
projects, etc.
Games in coalitional form
Analysis of terms 1 seminar
n-person transferable utility games, Imputations and the core, The Shapley value, and concepts,
The Shapley-Shubik Power Index. The nucleous.
discussions, case
studies,
discussion of the
homework
projects, etc.
NOTE: This document represents an informal translation performed by the faculty.
Bibliography:
1. Binmore, K., Playing Fair: Game Theory and the Social Contract I. Cambridge: MIT
Press,1994
2. Binmore, K., Just Playing: Game Theory and the Social Contract II. Cambridge: MIT
Press., 1998
3. Dixit, Avinash K., and Susan Skeath. Games of Strategy. Second Ed. New York: W.W.
Norton & Company, 2004
4. Gibbons, R., Games theory for applied economists, Princeton Univ. Press, New Jersey,
1992
5. Mureşan, A.S., Non-cooperative games, Ed. Mediamira, Cluj-Napoca, 2003
6. von Neumann, John, Oskar Morgenstern. Theory of Games and Economic Behavior.
Princeton, NJ: Princeton University Press, 1944
7. Osborne, Martin. An Introduction to Game Theory. New York: Oxford University Press,
2003.
8. Osborne, M., Rubenstein A., A Course on Game Theory. Cambridge, MA: MIT Press,
1994
9. Owen, G., Games theory, (2-nd edition), Academic Press, New York, 1982
Wang, J., The theory of games, Clarendon Press, Oxford, 1988
9. Corroboration / validation of the discipline content according to the expectations of the epistemic
community representatives, of the ones of the professional associations and also of the representative
employers of the corresponding program.
In any economic field there are required minimal skills to present and describe the most important characteristics of
some specific conflict situations. In this context, game theory is the first course which provides the students the
tools for modeling certain situations of different interests. Therefore, it is a course of vital importance for the
professional development of any undergraduate in any economic field.
10. Evaluation
Type of activity
10.1 Evaluation criteria
10.4 Course
10.2 Methods of assessment
The degree by which the students correctly
acquired the concepts, notions and tools of
game theory
The ability to use the concepts, notions and
tools of game theory in financial and
economic applications (i.e. practical
problems, real life situations, etc.).
10.5
The degree by which the students correctly
Seminar/laborator acquired the concepts, notions and tools of
y
game theory
The ability to use the concepts, notions and
tools of game theory in financial and
economic applications (i.e. practical
problems, real life situations, etc.).
Written final exam (2 practical
subjects)
1 written test
Presence and active participation
will be taken into account.
The assessment of the homework
projects. The assessment tries to
measure the degree by which the
students acquired the theory and
the ability to apply it in practical
examples and real life situations.
The realization of the homework
projects is conditioning the
obtaining of the final grade.
10.3 Share in
final grade
50%
50%
10.6 Minimum standard of performance
The students should prove that acquired the concepts, notions and tools of game theory above a minimal accepted
level. The students should prove that have the ability to apply this knowledge to practical problems and real life
situations, above a minimal accepted level.
Date of filling
Signature of the course professor
Signature of the seminar professor
28.01.2015
Professor Dr.Paula Claudia CURT
Professor Dr.Paula Claudia CURT
Date of approval by the department
06.02.2015
Head of department’s signature
Professor Dr. Diana Andrada FILIP
NOTE: This document represents an informal translation performed by the faculty.