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Networks of Complements

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 نشر من قبل Liad Blumrosen
 تاريخ النشر 2016
  مجال البحث الهندسة المعلوماتية
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We consider a network of sellers, each selling a single product, where the graph structure represents pair-wise complementarities between products. We study how the network structure affects revenue and social welfare of equilibria of the pricing game between the sellers. We prove positive and negative results, both of Price of Anarchy and of Price of Stability type, for special families of graphs (paths, cycles) as well as more general ones (trees, graphs). We describe best-reply dynamics that converge to non-trivial equilibrium in several families of graphs, and we use these dynamics to prove the existence of approximately-efficient equilibria.



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