The aim of studying and bibliography

The main aim of study: To familiarize students with the basic concepts and methods of game theory and their practical applications

The general information about the module: The module is implemented in the sixth semester (15 hours of lectures and 15 hours of classes). The subject matter was chosen by students

Bibliography required to complete the module

Bibliography used during lectures

1	K. Binmore	Teoria gier	Wydawn. Uniwersytetu Łódzkiego, Łódź.	2017
2	J. Watson	Strategia. Wprowadzenie do teorii gier	WNT, Warszawa.	2005

Bibliography used during classes/laboratories/others

1	K. Kukuła (red.)	Badania operacyjne w przykładach i zadaniach	PWN, Warszawa .	2016
2	L. C. Thomas	Games, Theory and Applications	John Wiley & Sons, New York .	1986

Bibliography to self-study

1	M. Malawski, A. Wieczorek, H. Sosnowska	Konkurencja i kooperacja. Teoria gier w ekonomii i naukach społecznych	PWN, Warszawa .	2004
2	P. D. Straffin	Teoria gier	Wydawnictwo Naukowe SCHOLAR, Warszawa .	2006

Basic requirements in category knowledge/skills/social competences

Formal requirements: The sixth semester of a degree in engineering and data analysis. The student satisfies the formal requirements set out in the study regulations.

Basic requirements in category knowledge: Knowledge of basic concepts of linear algebra, calculus and probability: matrices, determinants, vectors, derivatives, integrals, random variables, expected values

Basic requirements in category skills: Student: knows operations on matrices and vectors, knows how to calculate derivatives and integrals, knows how to use basic notions of probability

Basic requirements in category social competences: Willingness to continue to acquire mathematical knowledge. Ability to work in a group

Module outcomes

MEK	The student who completed the module	Types of classes / teaching methods leading to achieving a given outcome of teaching	Methods of verifying every mentioned outcome of teaching	Relationships with KEK	Relationships with PRK
01	knows how to analyze a simple game in the normal form, identify dominated strategies, in simple cases (eg zero-sum games) find Nash equilibria in pure and mixed strategies	lectures, classes	written exam, assessment of homework	K_W03+ K_U04++ K_U25+ K_K02++ K_K05+	P6S_KK P6S_KO P6S_UU P6S_UW P6S_WG
02	can create a tree of a simple game, designate information sets, find Nash equilibria (including the perfect ones), knows the concept of behavioral strategies and examples of simple dynamic games	lectures, classes	written exam, assessment of homework	K_W03+ K_U04++ K_U25+ K_K02++ K_K05+	P6S_KK P6S_KO P6S_UU P6S_UW P6S_WG

Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).

The syllabus of the module

Sem.	TK	The content	realized in	MEK
6	TK01	Games in the normal form: pure and mixed strategies, elimination of dominated strategies, Nash equilibria, games classification - zero-sum games, n-person games, examples	W1-W8, C1-C8	MEK01
6	TK02	Games in the extensive form: game tree, information sets, behavioral strategies, Nash equilibria and their types, examples of dynamic games	W9-W15, C9-C15	MEK02

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Lecture (sem. 6)		contact hours: 15.00 hours/sem.	Studying the recommended bibliography: 10.00 hours/sem.
Class (sem. 6)	The preparation for a Class: 15.00 hours/sem.	contact hours: 15.00 hours/sem.	Finishing/Studying tasks: 7.00 hours/sem.
Advice (sem. 6)		The participation in Advice: 1.00 hours/sem.
Exam (sem. 6)	The preparation for an Exam: 10.00 hours/sem.	The written exam: 2.00 hours/sem.

The way of giving the component module grades and the final grade

The type of classes	The way of giving the final grade
Lecture	The final grade of the lectures is an exam mark - at least 3,0
Class	The summary grade of the classes is equal to the arithmetic mean of homework assessments (at least 3,0)
The final grade	The final grade is the arithmetic mean of grades of classes and of lectures

Sample problems

Required during the exam/when receiving the credit
(-)

Realized during classes/laboratories/projects
(-)

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : no

The contents of the module are associated with the research profile: yes