Assortative Matching and Search
AbstractIn Becker's (1973) neoclassical marriage market model, matching is positively assortative if types are complements: i.e. match output is supermodular. We reprise this famous result assuming time-intensive partner search and transferable output. We prove existence of a search equilibrium with a continuum of types, and then characterize matching. After showing that Becker's conditions no longer suffice for assortative matching, we find sufficient conditions valid for any search frictions and type distribution: supermodularity not only of match output, but also of its marginal product and cross partial derivative. Symmetric submodularity conditions imply negatively assortative matching. Examples show these conditions are necessary.
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Bibliographic InfoArticle provided by Econometric Society in its journal Econometrica.
Volume (Year): 68 (2000)
Issue (Month): 2 (March)
Other versions of this item:
- 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 97-2b, Massachusetts Institute of Technology (MIT), Department of Economics.
- Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2a, Massachusetts Institute of Technology (MIT), Department of Economics.
- C5 - Mathematical and Quantitative Methods - - Econometric Modeling
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