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Author

David Wajc

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Preprint Oct 2026

Online Submodular Welfare Maximization: Computation is not the Bottleneck

We revisit the online submodular welfare maximization problem (OSW), a vast generalization of numerous well-studied online allocation problems, including online bipartite matching, display ads and AdWords. A natural greedy OSW algorithm achieves a competitive ratio of $1/2$ [LLN06], and $1-1/e$ under i.i.d. arrivals [K...

Rajan Udwani, David Wajc · 3 citations · ⚡2
Preprint Aug 2026

Asymptotically Tight Fractional Online Matching Under Edge Arrivals

In this brief note, we close the asymptotic gap between known upper and lower bounds for fractional online matching under edge arrivals. We prove that the optimal competitive ratio for this problem is $1/2+\Theta(1/n)$. The algorithm was suggested and analyzed by OpenAI's ChatGPT Sol based on a single prompt. The prese...

David Wajc · 0 citations

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