Two-sided matching with spatially differentiated agents
AbstractWe 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.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 45 (2009)
Issue (Month): 5-6 (May)
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Web page: http://www.elsevier.com/locate/jmateco
Spatial heterogeneity Bilateral exchange Two-sided matching Assignment game Stable marriage problem;
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- José Alcalde, 1995.
"Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets,"
Working Papers. Serie AD
1995-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer, vol. 1(1), pages 275-287, December.
- Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug..
- Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
- Robert Shimer & Lones Smith, 2000.
"Assortative Matching and Search,"
Econometric Society, vol. 68(2), pages 343-370, March.
- Shimer, R. & Smith, L., 1998. "Assortive Matching and Search," Papers 98-09, Michigan - Center for Research on Economic & Social Theory.
- Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2a, Massachusetts Institute of Technology (MIT), Department of Economics.
- Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2b, Massachusetts Institute of Technology (MIT), Department of Economics.
- Patrick Legros & Andrew F. Newman, 2002.
"Monotone Matching in Perfect and Imperfect Worlds,"
Review of Economic Studies,
Oxford University Press, vol. 69(4), pages 925-942.
- Patrick Legros & Andrew Newman, 2002. "Monotone matching in perfect and imperfect worlds," ULB Institutional Repository 2013/7032, ULB -- Universite Libre de Bruxelles.
- Legros, Patrick & Newman, Andrew, 2000. "Monotone Matching In Perfect And Imperfect Worlds," CEPR Discussion Papers 2396, C.E.P.R. Discussion Papers.
- Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-28, December.
- Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March.
- Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August.
- Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
- Flanders, Sam, 2014. "Matching Markets with N-Dimensional Preferences," MPRA Paper 53669, University Library of Munich, Germany.
- Flanders, Sam, 2013. "Continuous Matching with Single Peaked Preferences," MPRA Paper 53668, University Library of Munich, Germany.
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