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Two-sided matching with spatially differentiated agents

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  • Klumpp, Tilman

Abstract

We consider the problem of assigning sellers and buyers into stable matches. The agents are located along a line and the match surplus function is decreasing in the distance between partners. We investigate the structure of stable assignments under both non-transferable utility (NTU) and transferable utility (TU). If the surplus function is sufficiently convex, the TU-stable assignments are a subset of the NTU-stable assignments. Furthermore, if trade is restricted to uni-directional flows the unique TU-stable assignment coincides with the unique NTU-stable assignment for every convex surplus function. We also examine the graph-theoretic representation of stable assignments and show that the graph structure can be exploited to compute surplus shares in TU-stable assignments.

Suggested Citation

  • Klumpp, Tilman, 2009. "Two-sided matching with spatially differentiated agents," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 376-390, May.
    • Handle: RePEc:eee:mateco:v:45:y:2009:i:5-6:p:376-390
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    References listed on IDEAS

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    1. Simon Clark, 2003. "Matching and Sorting with Horizontal Heterogeneity," Edinburgh School of Economics Discussion Paper Series 94, Edinburgh School of Economics, University of Edinburgh.
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    Cited by:

    1. Simon Clark, 2020. ""You're Just My Type!" Matching and Payoffs When Like Attracts Like," Edinburgh School of Economics Discussion Paper Series 295, Edinburgh School of Economics, University of Edinburgh.
    2. Flanders, Sam, 2014. "Matching Markets with N-Dimensional Preferences," MPRA Paper 53669, University Library of Munich, Germany.
    3. Flanders, Sam, 2013. "Continuous Matching with Single Peaked Preferences," MPRA Paper 53668, University Library of Munich, Germany.

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