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Stable Marriages and Search Frictions

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  • Lauermann, Stephan
  • Nöldeke, George

Abstract

We embed a two-sided matching market with non-transferable utility, a marriage market, into a random search model. We study steadystate equilibria and characterize the limit of the corresponding equilibrium matchings as exogenous search frictions become small. The central question is whether the set of such limit matchings coincides with the set of stable matchings for the underlying marriage market. We show that this is the case if and only if there is a unique stable matching. Otherwise, the set of limit matchings contains the set of all stable deterministic matchings, but also contains unstable random matchings. These unstable random matchings are Pareto dominated. Thus, vanishing frictions do not guarantee the eciency of decentralized marriage markets.

Suggested Citation

  • Lauermann, Stephan & Nöldeke, George, 2012. "Stable Marriages and Search Frictions," Working papers 2012/10, Faculty of Business and Economics - University of Basel.
  • Handle: RePEc:bsl:wpaper:2012/10
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    References listed on IDEAS

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    1. Adachi, Hiroyuki, 2003. "A search model of two-sided matching under nontransferable utility," Journal of Economic Theory, Elsevier, vol. 113(2), pages 182-198, December.
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    Cited by:

    1. Lauermann, Stephan & Nöldeke, Georg, 2015. "Existence of steady-state equilibria in matching models with search frictions," Economics Letters, Elsevier, vol. 131(C), pages 1-4.
    2. Jean Guillaume Forand & Vikram Maheshri, 2012. "(De)Regulation and Market Thickness," Working Papers 1202, University of Waterloo, Department of Economics, revised Oct 2012.
    3. Qingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2010. "Stable Matching with Incomplete Information, Second Version," PIER Working Paper Archive 12-042, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Oct 2012.
    4. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    5. Qingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2012. "Matching with Incomplete Information," PIER Working Paper Archive 12-032, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.

    More about this item

    Keywords

    Marriage Market; Stable Matchings; Random Matchings; Search Frictions;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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