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arXiv · 1604.05771

Multidimensional matching

Pierre-André Chiappori·Robert McCann·Brendan Pass
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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

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Pierre-André Chiappori, Robert McCann, Brendan Pass. 2016-04-19. Multidimensional matching. https://arxiv.org/abs/1604.05771

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