Prophet Inequalities for Subadditive Combinatorial Auctions
Abstract
In this paper, we survey literature on prophet inequalities for subadditive combinatorial auctions. We give an overview of the previous best $O(\log \log m)$ prophet inequality as well as the preceding $O(\log m)$ prophet inequality. Then, we provide the constructive posted price mechanisms used in order to prove the two bounds. We mainly focus on the most recent literature that resolves a central open problem in this area of discovering a constant factor prophet inequality for subadditive valuations. We detail the approach of this new paper, which is $\textit{non-constructive}$ and therefore cannot be implemented using prices, as done in previous literature.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2023
- DOI:
- 10.48550/arXiv.2305.12698
- arXiv:
- arXiv:2305.12698
- Bibcode:
- 2023arXiv230512698S
- Keywords:
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- Computer Science - Computer Science and Game Theory