# Multidimensional matching

arXiv: https://arxiv.org/abs/1604.05771 · HTML: https://mlsanity.com/paper/1604.05771/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 19 Apr 2016.

## Built on by (most cited first, 1 of 1)

- [Demographic parity in regression and classification within the unawareness framework](https://mlsanity.com/paper/2409.02471/) (2024)

## Abstract (arXiv)

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