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Stable Marriage With and Without Transferable Utility:Nonparametric Testable Implications

Listed author(s):
  • Laurens Cherchye
  • Thomas Demuynck
  • Bram De Rock
  • Frederic Vermeulen

We show that transferable utility has no nonparametrically testable implications for marriage stability in settings with a single consumption observation per house- hold and heterogeneous individual preferences across households. This completes the results of Cherchye, Demuynck, De Rock, and Vermeulen (2017), who characterized Pareto efficient household consumption under the assumption of marriage stability without transferable utility. First, we show that the nonparametric testable conditions established by these authors are not only necessary but also sufficient for rationalizability by a stable marriage matching. Next, we demonstrate that exactly the same testable implications hold with and without transferable utility between household members. We build on this last result to provide a primal and dual linear programming characterization of a stable matching allocation for the observational setting at hand. This provides an explicit specification of the marital surplus function rationalizing the observed matching behavior.

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File URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/255694/3/2017-30-CHERCHYE_DEMUYNCK_DEROCK_VERMEULEN-Stable.pdf
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Paper provided by ULB -- Universite Libre de Bruxelles in its series Working Papers ECARES with number 2017-30.

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Length: 20 p.
Date of creation: Jul 2017
Publication status: Published by:
Handle: RePEc:eca:wpaper:2013/255694
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