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Game Theory - OEBMM1715Z

Title:	Game Theory
Guaranteed by:	Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty:	Faculty of Education
Actual:	from 2019
Semester:	summer
E-Credits:	6
Examination process:	summer s.:
Hours per week, examination:	summer s.:0/1, MC [HT]
Capacity:	unknown / 0 (999)
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	English
Teaching methods:	full-time
Teaching methods:	full-time
Additional information:	http://class.pedf.cuni.cz/Jancarik/DesktopDefault.aspx?tabindex=2&tabid=24&portalsekce=2
Note:	course can be enrolled in outside the study plan enabled for web enrollment priority enrollment if the course is part of the study plan

Guarantor:	doc. RNDr. Antonín Jančařík, Ph.D. PhDr. Michaela Kaslová
Teacher(s):	doc. RNDr. Antonín Jančařík, Ph.D.
Classification:	Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category

Opinion survey results Examination dates SS schedule Noticeboard

Annotation -

Last update: Kateřina Esserová, DiS. (24.09.2019)

Introduction to the Game Theory The aim is to acquaint students with the basics of game theory and particular applications of various topics from mathematics to find winning strategies.

Aim of the course -

Last update: Kateřina Esserová, DiS. (24.09.2019)

To acquaint students with combinatorial game theory. To show them a lot of different mathematics to search for winning and optimal strategies for different types of games.

Descriptors

Last update: doc. RNDr. Antonín Jančařík, Ph.D. (10.02.2021)

The course will be provided by self-study from recommended materials and by individual consultations, or online seminars, according to the number of students.

Literature -

Last update: Kateřina Esserová, DiS. (24.09.2019)

§ Conway, On Numbers and Games, AK Peters, Ltd., 2001

§ Berlekamp, Conway, Guy, Winning Ways for Your Mathematical Plays, Vol. 1, AK Peters, Ltd, 2001

§ Berlekamp, Conway, Guy, Winning Ways for Your Mathematical Plays, Vol. 2, AK Peters, Ltd. , 2003

§ Berlekamp a kol, Winning Ways for Your Mathematical Plays, Vol. 3, AK Peters, Ltd.; , 2003

§ Nowakowski, Levy, Games of No Chance, Cambridge University Press, 1998

§ Nowakowski, Levy, More Games of No Chance, Cambridge University Press, 2002

Teaching methods -

Last update: PhDr. Michaela Kaslová (05.09.2023)

Seminar - work in groups focusing on the first experience with the selected game, analysis of the rule, translation of the rule into the speech of a student of the selected age, establishment of hypotheses for the optimal game strategy, verification and discussion. Creative part: creation of a new game with the given material and discussion.

Requirements to the exam -

Last update: PhDr. Michaela Kaslová (05.09.2023)

90% active participation and quality written seminar work.

Syllabus -

Last update: Kateřina Esserová, DiS. (24.09.2019)

Main topics:

Critical position and winning strategy

Mathematical Games

Classic games

Modern games

Mathematical PUZZLES

Probability theory in the theory of games