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Profit-Maximizing Matchmaker

Hideo Konishi and Chiu Yu Ko

No 721, Boston College Working Papers in Economics from Boston College Department of Economics

Abstract: This paper considers a resource allocation mechanism that utilizes a profit-maximizing auctioneer/matchmaker in the Kelso-Crawford (1982) (many-to-one) assignment problem. We consider general and simple (individualized price) message spaces for firms' reports following Milgrom (2010). We show that in the simple message space, (i) the matchmaker's profit is always zero and an acceptable assignment is achieved in every Nash equilibrium, and (ii) the sets of stable assignments and strong Nash equilibria are equivalent. By contrast, in the general message space, the matchmaker may make a positive profit even in a strong Nash equilibrium. This shows that restricting message space not only reduces the information requirement but also improves resource allocation.

Keywords: two-sided matching problem; stable assignment; strong Nash equilibrium; coalition-proof Nash equilibrium; no-rent property; implementation theory (search for similar items in EconPapers)
JEL-codes: C71 C72 C78 (search for similar items in EconPapers)
Date: 2009-10-28, Revised 2012-04-23
New Economics Papers: this item is included in nep-bec and nep-gth
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Citations:

Published, Games and Economic Behavior

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