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HU Credits:
3
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Mr. Pavel Giterman
Coordinator Office Hours:
Teaching Staff:
Mr. Pavel Giterman
Mr. Shalom Or
Course/Module description:
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, Two-sided Market matchings, the Shapley value of cooperative games with side payments.
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, Two-sided Market matchings, the Shapley value of cooperative games with side payments.
Required Reading:
None
Additional Reading Material:
Game Theory (in Hebrew), by S. Zamir, M. Meshler, Magness Press
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 II.
If necessary, the final exam will be conducted by electronic means. In the case it won't be possible to conduct the exam physically or remotely, student evaluation will be based on homework.
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