Discipline sheet: 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
Babes-Bolyai University Cluj-Napoca
Faculty of Economics and Business Administration
Statistics-Forecasts- Mathematics
Management
1.5 Study cycle Undergraduate studies
1.6 Specialization/Program of study Management
2. Information about the discipline
2.1 Discipline title Elements of Game Theory
Discipline code
2.2 The holder of the course activities
ELE0097
Assoc. Prof. dr. Paula CURT
2.3 The holder of the seminar activities
Assoc. Prof. dr. Paula CURT
ES (i.e.
2.4 Year of study III 2.5 Semester 6 2.6 Type of assessment examination
2.7 Discipline regime
)
OP (op tional)
3. Total time estimated (hours per semester of teaching)
3.1 Number of hours per week
3.4 Total hours of curriculum
3 From which: 3.2 course
36 From which: 3.5 course
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 study
39
3.8 Total hours per semester 75
2
24
3.3 seminar/laboratory
3.6 seminar/laboratory
1
12
Hour s
11
10
10
4
4
3.9 Number of credits 3
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

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 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
8.1 Course
Two persons, zero sum games
Saddle points, Mixed strategies, The minimax theorem. Matrix games and linear programming
Two-person general sum games. Non-cooperative theory. The definition of noncooperative game, strategies, payoff function, equilibrium points.
Teaching methods
Observations
The professor gives a talk and encourages discussions on the theme.
The professor
3 courses gives a talk and encourages discussions on the theme
3 courses

Two-person general sum games. Cooperative theory.
Cooperative games with transferable utilities. Cooperative games without transferable utilities.
The professor gives a talk and encourages discussions on the theme
3 courses
The Shapley-Shubik Power Index. The nucleous.
The professor
Games in coalitional form n-person transferable utility games, Imputations and the core, The Shapley value
, gives a talk and encourages discussions on the
3 courses theme
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
8. 2 Seminar/laborator y
Teaching methods
Observations
Two persons, zero sum games
Solutions for
Solutions for
2 x 2, 2 x n and m x 2 matrix games
3 x 3 matrix games. The simplex algorithm
Analysis of terms 2 seminars and concepts, discussions, case studies, discussion of the homework projects, etc.
Two-person general sum games. Non-cooperative theory.
Economical applications of games theory (The Cournot’s model of duopoly,The
Bertrand’s model of duopoly)
Two-person general sum games. Cooperative theory.
Economical applications
Analysis of terms 2 seminars and concepts, discussions, case studies, discussion of the homework projects, etc.
Analysis of terms 1 seminar and concepts, discussions, case studies, discussion of the homework projects, etc.

Games in coalitional form n-person transferable utility games, Imputations and the core, The Shapley value
The Shapley-Shubik Power Index. The nucleous.
Analysis of terms
, and concepts, discussions, case studies,
1 seminar discussion of the homework projects, etc.
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 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.).
10.2 Methods of assessment
Written final exam (2 practical subjects)
10.3 Share in final grade
50%

10.5
Seminar/laborator y
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.).
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.
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 completion
4.09.2012
Approval date by department
5.09.2012
Signature of the course holder Signature of the seminar holder
Assoc. Prof. dr. Paula CURT Assoc. Prof. dr. Paula CURT
Signature of the Head of the Department
Prof. dr. Diana A. FILIP