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arxiv: 1112.4632 · v4 · pith:A6T657G5new · submitted 2011-12-20 · 💻 cs.CG

The Price of Matching Selfish Vertices

classification 💻 cs.CG
keywords matchingpriceselfishverticesanalysisanalyzeanarchyconcept
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We analyze the setting of minimum-cost perfect matchings with selfish vertices through the price of anarchy (PoA) and price of stability (PoS) lens. The underlying solution concept used for this analysis is the Gale-Shapley stable matching notion, where the preferences are determined so that each player (vertex) wishes to minimize the cost of her own matching edge.

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