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Motivated by applications in online dating and kidney exchange, thestochastic matching problem was introduced by Chen, Immorlica, Karlin, Mahdianand Rudra (2009). They have proven a 4-approximation of a simple greedystrategy, but conjectured that it is in fact a 2-approximation. In this paperwe confirm this hypothesis.

Greedy algorithm for stochastic matching is a 2-approximation