A simple online strategy selects a point from random arrivals such that its final Voronoi cell area is constant-competitive with the prophet's optimal choice with probability 1 - Õ(1/√n).
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The Prophet and the Voronoi Diagram
A simple online strategy selects a point from random arrivals such that its final Voronoi cell area is constant-competitive with the prophet's optimal choice with probability 1 - Õ(1/√n).