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Pairwise stable matching in large economies

Michael Greinecker () and Christopher Kah ()
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Michael Greinecker: University of Graz, Austria
Christopher Kah: University of Innsbruck, Austria

No 2018-01, Graz Economics Papers from University of Graz, Department of Economics

Abstract: We formulate a general model and stability notion for two-sided pairwise matching problems with individually insignificant agents. Matchings are formulated as joint distributions over the characteristics of the populations to be matched. These characteristics can be high-dimensional and need not be included in compact spaces. Stable matchings exist with and without transfers and stable matchings correspond exactly to limits of stable matchings for finite agent models. We can embed existing continuum matching models and stability notions with transferable utility as special cases of our model and stability notion. In contrast to finite agent matching models, stable matchings exist under a general class of externalities. This might pave the way for integrating matching problems in other economic models.

Keywords: Stable matching; Economies in distributional form; Large markets (search for similar items in EconPapers)
JEL-codes: C62 C71 C78 D47 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth and nep-upt
Date: 2018-01
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