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Sponsored search, market equilibria, and the Hungarian method

Dütting, Paul, Henzinger, Monika and Weber, Ingmar (2010) Sponsored search, market equilibria, and the Hungarian method. In: Marion, Jean-Yves and Schwentick, Thomas, (eds.) 27th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, pp. 287-298. ISBN 9783939897163

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Identification Number: 10.4230/LIPIcs.STACS.2010.2463

Abstract

Two-sided matching markets play a prominent role in economic theory. A prime example of such a market is the sponsored search market where $n$ advertisers compete for the assignment of one of $k$ sponsored search results, also known as ``slots'', for certain keywords they are interested in. Here, as in other markets of that kind, market equilibria correspond to stable matchings. In this paper, we show how to modify Kuhn's Hungarian Method (Kuhn, 1955) so that it finds an optimal stable matching between advertisers and advertising slots in settings with generalized linear utilities, per-bidder-item reserve prices, and per-bidder-item maximum prices. The only algorithm for this problem presented so far (Aggarwal et al., 2009) requires the market to be in 'general position'. We do not make this assumption.

Item Type: Book Section
Official URL: http://drops.dagstuhl.de/opus/volltexte/2010/2463
Additional Information: © 2010 Schloss Dagstuhl
Divisions: Media and Communications
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Sets: Departments > Media and Communications
Date Deposited: 16 Nov 2017 17:00
Last Modified: 20 Jan 2020 02:23
URI: http://eprints.lse.ac.uk/id/eprint/85620

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