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Multidimensional matching

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  • Pierre-Andr'e Chiappori
  • Robert McCann
  • Brendan Pass

Abstract

We present a general analysis of multidimensional matching problems with transferable utility, paying particular attention to the case in which the dimensions of heterogeneity on the two sides of the market are unequal. A particular emphasis is put on problems where agents on one side of the market are multidimensional and agents on the other side are uni-dimensional, we describe a general approach to solve such problems. Lastly, we analyze several examples, including an hedonic model with differentiated products, a marriage market model where wives are differentiated in income and fertility, and a competitive variation of the Rochet-Chon\'e problem. In the latter example, we show that the bunching phenomena, observed by Rochet and Chon\'e in the monopoly context, do not occur in the competitive context

Suggested Citation

  • Pierre-Andr'e Chiappori & Robert McCann & Brendan Pass, 2016. "Multidimensional matching," Papers 1604.05771, arXiv.org.
  • Handle: RePEc:arx:papers:1604.05771
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    References listed on IDEAS

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    1. repec:eee:wdevel:v:95:y:2017:i:c:p:73-87 is not listed on IDEAS
    2. Gaign�, Carl & Koster, Hans R.A. & Moizeau, Fabien & Thisse, Jacques-Fran�ois, 2017. "Amenities and the Social Structure of Cities," CEPR Discussion Papers 11958, C.E.P.R. Discussion Papers.
    3. Maertens, Miet & Vande Velde, Katrien, 2017. "Contract-farming in Staple Food Chains: The Case of Rice in Benin," World Development, Elsevier, vol. 95(C), pages 73-87.
    4. Briana Chang & Harrison Hong, 2017. "Assignment of Stock Market Coverage," NBER Working Papers 23115, National Bureau of Economic Research, Inc.

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