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The stability of the equilibrium outcomes in the admission games induced by stable matching rules

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  • Marilda Sotomayor, 2008. "The stability of the equilibrium outcomes in the admission games induced by stable matching rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 621-640, March.
    • Handle: RePEc:spr:jogath:v:36:y:2008:i:3:p:621-640
    DOI: 10.1007/s00182-008-0115-8
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    References listed on IDEAS

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    1. Antonio Romero-Medina, 1998. "Implementation of stable solutions in a restricted matching market," Review of Economic Design, Springer;Society for Economic Design, vol. 3(2), pages 137-147.
    2. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882, October.
    3. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    4. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    5. Alcalde, Jose & Romero-Medina, Antonio, 2000. "Simple Mechanisms to Implement the Core of College Admissions Problems," Games and Economic Behavior, Elsevier, vol. 31(2), pages 294-302, May.
    6. Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
    7. Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
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    Cited by:

    1. Georgy Artemov & Yeon-Koo Che & YingHua He, 2023. "Stable Matching with Mistaken Agents," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 1(2), pages 270-320.
    2. Jaramillo, Paula & Kayı, Çaǧatay & Klijn, Flip, 2013. "Equilibria under deferred acceptance: Dropping strategies, filled positions, and welfare," Games and Economic Behavior, Elsevier, vol. 82(C), pages 693-701.
    3. Battal Dogan & Bumin Yenmez, 2017. "Unified Enrollment in School Choice: How to Improve Student Assignment in Chicago," Cahiers de Recherches Economiques du Département d'économie 17.10, Université de Lausanne, Faculté des HEC, Département d’économie.
    4. Wonki Jo Cho & Battal Doğan, 2017. "Stability and the immediate acceptance rule when school priorities are weak," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 991-1014, November.
    5. Battal Doğan & M. Bumin Yenmez, 2023. "When does an additional stage improve welfare in centralized assignment?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1145-1173, November.
    6. Bando, Keisuke, 2014. "On the existence of a strictly strong Nash equilibrium under the student-optimal deferred acceptance algorithm," Games and Economic Behavior, Elsevier, vol. 87(C), pages 269-287.
    7. Iwase, Yusuke & Tsuruta, Shoya & Yoshimura, Akina, 2022. "Nash implementation on the basis of general priorities," Games and Economic Behavior, Elsevier, vol. 132(C), pages 368-379.
    8. Marilda Sotomayor, 2012. "A further note on the college admission game," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 179-193, February.
    9. Jiarui Xie, 2024. "Games under the Tiered Deferred Acceptance Mechanism," Papers 2406.00455, arXiv.org, revised Oct 2024.
    10. Matsui, Akihiko & Murakami, Megumi, 2022. "Deferred acceptance algorithm with retrade," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 50-65.
    11. Akihiko Matsui & Megumi Murakami, 2019. "A Two-Stage Model of Assignment and Market," CIRJE F-Series CIRJE-F-1112, CIRJE, Faculty of Economics, University of Tokyo.
    12. Akihiko Matsui & Megumi Murakami, 2017. "Demographics, Immigration, and Market Size," CIRJE F-Series CIRJE-F-1060, CIRJE, Faculty of Economics, University of Tokyo.
    13. Yasushi Kawase & Keisuke Bando, 2021. "Subgame perfect equilibria under the deferred acceptance algorithm," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 503-546, June.
    14. Antonio Romero-Medina & Matteo Triossi, 2013. "Games with capacity manipulation: incentives and Nash equilibria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 701-720, September.

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    More about this item

    Keywords

    Stable matching; Nash equilibrium; Mechanism; Stablematching rule; Random stable matching rule; C78; D78;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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