Note on an Auction Procedure for a Matching Game in Polynomial Time

  • Winfried Hochstättler
  • Hui Jin
  • Robert Nickel
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4041)


We derive a polynomial time algorithm to compute a stable solution in a mixed matching market from an auction procedure as presented by Eriksson and Karlander [5]. As a special case we derive an \(\mathcal{O}(nm)\) algorithm for bipartite matching that does not seem to have appeared in the literature yet.


Polynomial Time Algorithm Stable Match Assignment Game Preference List Stable Marriage 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Winfried Hochstättler
    • 1
  • Hui Jin
    • 2
  • Robert Nickel
    • 1
  1. 1.Department of MathematicsFernUniversität in HagenHagen
  2. 2.Department of MathematicsBrandenburg Technical University CottbusCottbus

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