|
HU Credits:
3
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
English
Campus:
E. Safra
Course/Module Coordinator:
Dr. Jeffrey Mensch
Coordinator Office Hours:
Teaching Staff:
Dr. Jeffrey Mensch,
Mr. Daniel Cizma
Course/Module description:
*Course will be taught in English*
Combinatorial games. Two-player zero-sum games. The Minimax theorem. Non-cooperative games.
Nash theorem on the existence of an equilibrium point. Brouwer's fixed point theorem.
Cooperative games: the Core, the Shapley value of cooperative games.
Course/Module aims:
Basic concepts in Games of the Strategic Form and Cooperative Games.
Learning outcomes - On successful completion of this module, students should be able to:
Ability to prove and apply the theorems presented in the course.
Ability to apply correctly the mathematical methodology in the context of the course.
Acquiring the fundamentals as well as basic familiarity with the field which will assist in the understanding of advanced subjects.
Ability to understanding and explain the subjects taught in the course.
Attendance requirements(%):
N/A
Teaching arrangement and method of instruction:
Lecture + exercise
Course/Module Content:
Combinatorial games. Two-player zero-sum games. The Minimax theorem. Non-cooperative games.
Nash theorem on the existence of an equilibrium point. Brouwer's fixed point theorem.
Cooperative games: the Core, the Shapley value of cooperative games.
Required Reading:
"Game Theory," by M. Maschler, E. Solan, and S. Zamir
Additional Reading Material:
Course/Module evaluation:
End of year written/oral examination 80 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 20 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
Prerequisites - Inf. Calculus III, Linear Algebra.
Lecture recordings will only be released several weeks after they take place.
|
