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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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    1. Diamond, P. A. & Maskin, Eric, 1981. "An equilibrium analysis of search and breach of contract II. A non-steady state example," Journal of Economic Theory, Elsevier, vol. 25(2), pages 165-195, October.
    2. Lones Smith, 2011. "Frictional Matching Models," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 319-338, September.
    3. Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-28, December.
    4. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    5. Gale,Douglas, 2000. "Strategic Foundations of General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521643306, October.
    6. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    7. Federico Echenique & Sangmok Lee & Matthew Shum & M. Bumin Yenmez, 2013. "The Revealed Preference Theory of Stable and Extremal Stable Matchings," Econometrica, Econometric Society, vol. 81(1), pages 153-171, January.
    8. Francis Bloch & Effrosyni Diamantoudi, 2011. "Noncooperative formation of coalitions in hedonic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 263-280, May.
    9. Ken Burdett & Randall Wright, 1998. "Two-Sided Search with Nontransferable Utility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(1), pages 220-245, January.
    10. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    11. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    12. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
    13. Eeckhout, Jan, 1999. "Bilateral Search and Vertical Heterogeneity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 869-887, November.
    14. 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.
    15. Bloch, Francis & Ryder, Harl, 2000. "Two-Sided Search, Marriages, and Matchmakers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 93-115, February.
    16. Ken Burdett & Melvyn G. Coles, 1997. "Marriage and Class," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 141-168.
    17. Burdett, Kenneth & Coles, Melvyn G, 1999. "Long-Term Partnership Formation: Marriage and Employment," Economic Journal, Royal Economic Society, vol. 109(456), pages 307-334, June.
    18. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
    19. Eric Budish & Yeon-Koo Che & Fuhito Kojima & Paul Milgrom, 2013. "Designing Random Allocation Mechanisms: Theory and Applications," American Economic Review, American Economic Association, vol. 103(2), pages 585-623, April.
    20. Stephan Lauermann, 2013. "Dynamic Matching and Bargaining Games: A General Approach," American Economic Review, American Economic Association, vol. 103(2), pages 663-689, April.
    21. Lones Smith, 2006. "The Marriage Model with Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1124-1146, December.
    22. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    23. Peter A. Diamond & Eric Maskin, 1979. "An Equilibrium Analysis of Search and Breach of Contract, I: Steady States," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 282-316, Spring.
    24. Burdett Kenneth & Imai Ryoichi & Wright Randall, 2004. "Unstable Relationships," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-44, January.
    25. Alvin E. Roth & Uriel G. Rothblum & John H. Vande Vate, 1993. "Stable Matchings, Optimal Assignments, and Linear Programming," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 803-828, November.
    26. Margaret Stevens, 2007. "New Microfoundations For The Aggregate Matching Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 847-868, August.
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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. Yann Bramoullé & Brian W. Rogers & Erdem Yenerdag, 2022. "Matching with Recall," AMSE Working Papers 2203, Aix-Marseille School of Economics, France.
    3. Jean Guillaume Forand & Vikram Maheshri, 2012. "(De)Regulation and Market Thickness," Working Papers 1202, University of Waterloo, Department of Economics, revised Oct 2012.
    4. Stephan Lauermann & Georg Nöldeke & Thomas Tröger, 2020. "The Balance Condition in Search‐and‐Matching Models," Econometrica, Econometric Society, vol. 88(2), pages 595-618, March.
    5. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    6. 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.
    7. 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.
    8. Chen, Yi-Chun & Hu, Gaoji, 2020. "Learning by matching," Theoretical Economics, Econometric Society, vol. 15(1), January.
    9. Yenmez, M. Bumin, 2018. "A college admissions clearinghouse," Journal of Economic Theory, Elsevier, vol. 176(C), pages 859-885.
    10. Vinay Ramani & K. S. Mallikarjuna Rao, 2018. "Paths to stability and uniqueness in two-sided matching markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1137-1150, November.
    11. Itai Ashlagi & Mark Braverman & Yash Kanoria & Peng Shi, 2020. "Clearing Matching Markets Efficiently: Informative Signals and Match Recommendations," Management Science, INFORMS, vol. 66(5), pages 2163-2193, May.
    12. John K. Dagsvik & Zhiyang Jia, 2018. "Aggregate behavior in matching markets with flexible contracts and non-transferable representations of preferences," Discussion Papers 875, Statistics Norway, Research Department.

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    More about this item

    Keywords

    Marriage Market; Stable Matchings; Random Matchings; Search Frictions;
    All these keywords.

    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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