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Dynamic Pricing Algorithms for Online Set Cover

arXiv · 2409.15094 · 2024

We consider dynamic pricing algorithms as applied to the online set cover problem. In the dynamic pricing framework, we assume the standard client server model with the additional constraint that the server can only place prices over the resources they maintain, rather than authoritatively assign them. In response, incoming clients choose the resource which minimizes their disutility when taking into account these additional prices. Our main contributions are the categorization of online algorithms which can be mimicked via dynamic pricing algorithms and the identification of a strongly competitive deterministic algorithm with respect to the frequency parameter of the online set cover input.

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About

Colby College · University of Oxford

Studying CS, Math and Philosophy. Drawn to the intersections — logic in algorithms, structure in proofs, meaning in computation. Outside of that: photography, cooking, and the occasional moment of doing nothing at all.