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Local Non-Bossiness and Preferences Over Colleagues

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  • Eduardo Duque
  • Juan S. Pereyra
  • Juan Pablo Torres-Martinez

Abstract

The student-optimal stable mechanism (DA), the most popular mechanism in school choice, is the only one that is both stable and strategy-proof. However, when DA is implemented, a student can change the schools of others without changing her own. We show that this drawback is limited: a student cannot change her classmates without modifying her school. We refer to this new property as local non-bossiness and use it to provide a new characterization of DA that does not rely on stability. Furthermore, we show that local non-bossiness plays a crucial role in providing incentives to be truthful when students have preferences over their colleagues. As long as students first consider the school to which they are assigned and then their classmates, DA induces the only stable and strategy-proof mechanism. There is limited room to expand this preference domain without compromising the existence of a stable and strategy-proof mechanism.

Suggested Citation

  • Eduardo Duque & Juan S. Pereyra & Juan Pablo Torres-Martinez, 2024. "Local Non-Bossiness and Preferences Over Colleagues," Working Papers wp559, University of Chile, Department of Economics.
    • Handle: RePEc:udc:wpaper:wp559
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    References listed on IDEAS

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    1. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
    2. Diether W Beuermann & C Kirabo Jackson & Laia Navarro-Sola & Francisco Pardo, 2023. "What is a Good School, and Can Parents Tell? Evidence on the Multidimensionality of School Output," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(1), pages 65-101.
    3. Mustafa Oguz Afacan, 2012. "On The "Group Non-bossiness" Property," Economics Bulletin, AccessEcon, vol. 32(2), pages 1571-1575.
    4. Echenique, Federico & Yenmez, M. Bumin, 2007. "A solution to matching with preferences over colleagues," Games and Economic Behavior, Elsevier, vol. 59(1), pages 46-71, April.
    5. Atila Abdulkadiroğlu & Parag A. Pathak & Jonathan Schellenberg & Christopher R. Walters, 2020. "Do Parents Value School Effectiveness?," American Economic Review, American Economic Association, vol. 110(5), pages 1502-1539, May.
    6. , & ,, 2006. "A theory of stability in many-to-many matching markets," Theoretical Economics, Econometric Society, vol. 1(2), pages 233-273, June.
    7. Sasaki, Hiroo & Toda, Manabu, 1996. "Two-Sided Matching Problems with Externalities," Journal of Economic Theory, Elsevier, vol. 70(1), pages 93-108, July.
    8. Roth, Alvin E, 1986. "On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets," Econometrica, Econometric Society, vol. 54(2), pages 425-427, March.
    9. Alcalde, Jose & Barbera, Salvador, 1994. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 417-435, May.
    10. Jesse M. Rothstein, 2006. "Good Principals or Good Peers? Parental Valuation of School Characteristics, Tiebout Equilibrium, and the Incentive Effects of Competition among Jurisdictions," American Economic Review, American Economic Association, vol. 96(4), pages 1333-1350, September.
    11. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    12. Dutta, Bhaskar & Masso, Jordi, 1997. "Stability of Matchings When Individuals Have Preferences over Colleagues," Journal of Economic Theory, Elsevier, vol. 75(2), pages 464-475, August.
    13. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    14. Mark A. Satterthwaite & Hugo Sonnenschein, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 587-597.
    15. Marek Pycia, 2012. "Stability and Preference Alignment in Matching and Coalition Formation," Econometrica, Econometric Society, vol. 80(1), pages 323-362, January.
    16. Bykhovskaya, Anna, 2020. "Stability in matching markets with peer effects," Games and Economic Behavior, Elsevier, vol. 122(C), pages 28-54.
    17. Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-570, May.
    18. Kojima, Fuhito, 2010. "Impossibility of stable and nonbossy matching mechanisms," Economics Letters, Elsevier, vol. 107(1), pages 69-70, April.
    19. María Haydée Fonseca‐Mairena & Matteo Triossi, 2023. "Notes on marriage markets with weak externalities," Bulletin of Economic Research, Wiley Blackwell, vol. 75(4), pages 860-868, October.
    20. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    21. Kominers, Scott Duke, 2010. "Matching with preferences over colleagues solves classical matching," Games and Economic Behavior, Elsevier, vol. 68(2), pages 773-780, March.
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