[Archimedes Talk Series] Cardinal-Utility Matching Markets: From Tractability to Intractability ... and Back!

Dates
2024-06-25 14:30 - 16:00
Venue
Artemidos 1 - Amphitheater

 

 

 Title: Cardinal-Utility Matching Markets: From Tractability to Intractability ... and Back!


Presenter: Vijay Vazirani – Distinguished Professor, UC Irvine

Screenshot 2024 06 25 at 230pm
Abstract: For a mechanism to be highly impactful, it must have both good game-theoretic properties and computational efficiency. A poster child in this respect is the Gale-Shapley work (1962) on stable matching. This talk concerns cardinal-utility matching markets, for which the most prominent mechanism was due to Hylland and Zeckhauser (1979); this pricing-based mechanism has all the game-theoretic properties one could ask for. However, recent work has established it to be computationally intractable in theory and practice.

This talk will summarize several papers which:
a. Established intractability.
b. Proposed a replacement mechanism based on Nash bargaining.
c. Established its game-theoretic and computational properties and gave evidence that there may not be a better alternative.

Based on these (12345) and other papers.

Bio: Vijay Vazirani is Distinguished Professor at the University of California, Irvine. A description of his research appears in the citation of his 2022 INFORMS John von Neumann Theory Prize. Recently he completed a proof of the Micali-Vazirani maximum matching algorithm, over four decades after the publication of the algorithm itself. His most recent book (co-edited), Online and Matching-Based Market Design, appeared in July 2023.


 

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The project “ARCHIMEDES Unit: Research in Artificial Intelligence, Data Science and Algorithms” with code OPS 5154714 is implemented by the National Recovery and Resilience Plan “Greece 2.0” and is funded by the European Union – NextGenerationEU.

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