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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.
    2. Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-30, December.
    3. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    4. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    5. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    6. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    7. Patrick Legros & Andrew F. Newman, 2002. "Monotone Matching in Perfect and Imperfect Worlds," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 925-942.
    8. José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 275-287, December.
    9. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    10. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
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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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