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Measuring external stability in one-to-one matching

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  • Ismail Saglam

    (TOBB University of Economics and Technology)

Abstract

We consider a one-to-one matching model where the population expands with the arrival of a new individual. Individuals in this population are matched according to the deferred acceptance (DA) algorithm where men propose and women accept or reject. Using computer simulations of this model, we study how the matching utilities of individuals are affected when the initial size of the population or the degree of heterogeneity in preferences change. We also investigate to what extent the preference heterogeneity affects the difference between the likelihoods of matching obtained under the DA algorithm and the Top Trading Cycle algorithm.

Suggested Citation

  • Ismail Saglam, 2020. "Measuring external stability in one-to-one matching," Economics Bulletin, AccessEcon, vol. 40(1), pages 234-247.
  • Handle: RePEc:ebl:ecbull:eb-19-00627
    as

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    References listed on IDEAS

    as
    1. Ismail Saglam, 2021. "The Success of the Deferred Acceptance Algorithm Under Heterogenous Preferences with Endogenous Aspirations," Computational Economics, Springer;Society for Computational Economics, vol. 57(2), pages 577-591, February.
    2. Cantala, David, 2004. "Restabilizing matching markets at senior level," Games and Economic Behavior, Elsevier, vol. 48(1), pages 1-17, July.
    3. Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
    4. Itai Ashlagi & Yash Kanoria & Jacob D. Leshno, 2017. "Unbalanced Random Matching Markets: The Stark Effect of Competition," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 69-98.
    5. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    6. Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July.
    7. GABSZEWICZ, Jean J. & GARCIA, Filomena & PAIS, Joana & RESENDE, Joana, 2008. "On Gale and Shapley ‘College admissions and stability of marriage’," LIDAM Discussion Papers CORE 2008067, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Saglam, Ismail, 2017. "Simulating the Mutual Sequential Mate Search Model under Non-homogenous Preferences," MPRA Paper 80522, University Library of Munich, Germany.
    9. Parag A. Pathak & Tayfun Sonmez, 2008. "Leveling the Playing Field: Sincere and Sophisticated Players in the Boston Mechanism," American Economic Review, American Economic Association, vol. 98(4), pages 1636-1652, September.
    10. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    11. Roth, Alvin E., 1982. "Incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 9(2), pages 127-132.
    12. Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
    13. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    14. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    15. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 75-83.
    16. Crawford, Vincent P., 1991. "Comparative statics in matching markets," Journal of Economic Theory, Elsevier, vol. 54(2), pages 389-400, August.
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    More about this item

    Keywords

    One-to-one matching; deferred acceptance; top trading cycle; stability; external stability;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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