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Nov 15, 2024
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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.
Units of Lecture: 3
Offered: Every Fall - Even Years
Student Learning Outcomes:
Upon completion of this course:
1. Students will be able to 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. Students will be able to 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. Students will be able to 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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