MATH 786 - Cooperative Game Theory

(3 units)

Shapley-Bondareva Theorem, convex games, market games, assignment games, permutation games, Shapley value, power indices, multilinear extensions, ordinal preference matching games, NTU games, Scarf Theorem.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Spring - Even Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate understanding of the main theories (and proofs) from classical TU cooperative game theory, including the Shapley-Bondareva theorem, and the theory of convex games, market games, and the Shapley Value, as well as the Scarf theorem for NTU games.
2. demonstrate understanding of the main theories (and proofs) from the broad area of matching games, including the assignment game, permutation game, houseswapping game, and marriage game.
3. read a research paper (in the area of cooperative game theory) from a journal and present it in a lucid manner.

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