Non-Adaptive Matroid Prophet Inequalities
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Date
2023-05-04
Authors
Sayutina, Alice
Journal Title
Journal ISSN
Volume Title
Publisher
University of Waterloo
Abstract
We consider the problem of matroid prophet inequalities. This problem has been ex-
tensively studied in case of adaptive prices, with [KW12] obtaining a tight 2-competitive
mechanism for all the matroids.
However, the case non-adaptive is far from resolved, although there is a known constant-
competitive mechanism for uniform and graphical matroids (see [Cha+20]).
We improve on constant-competitive mechanism from [Cha+20] for graphical matroids,
present a separate mechanism for cographical matroids, and combine those to obtain
constant-competitive mechanism for all regular matroids.