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The pareto-stability concept is a natural solution concept for discrete matching markets with indifferences

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  • Marilda Sotomayor, 2011. "The pareto-stability concept is a natural solution concept for discrete matching markets with indifferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 631-644, August.
    • Handle: RePEc:spr:jogath:v:40:y:2011:i:3:p:631-644
    DOI: 10.1007/s00182-010-0259-1
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    1. Sotomayor, Marilda, 2005. "An elementary non-constructive proof of the non-emptiness of the core of the Housing Market of Shapley and Scarf," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 298-303, November.
    2. Sotomayor, Marilda, 1996. "A Non-constructive Elementary Proof of the Existence of Stable Marriages," Games and Economic Behavior, Elsevier, vol. 13(1), pages 135-137, March.
    3. Sotomayor, Marilda, 2000. "Existence of stable outcomes and the lattice property for a unified matching market," Mathematical Social Sciences, Elsevier, vol. 39(2), pages 119-132, March.
    4. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    5. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882, November.
    6. Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
    7. Sotomayor, Marilda, 2004. "Implementation in the many-to-many matching market," Games and Economic Behavior, Elsevier, vol. 46(1), pages 199-212, January.
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    Cited by:

    1. Niclas Boehmer & Edith Elkind, 2020. "Stable Roommate Problem with Diversity Preferences," Papers 2004.14640, arXiv.org.
    2. Agustín G. Bonifacio & Noelia Juarez & Pablo Neme & Jorge Oviedo, 2024. "Core and stability notions in many-to-one matching markets with indifferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(1), pages 143-157, March.
    3. Chen, Ning & Li, Mengling, 2013. "Ties matter: improving efficiency in course allocation by introducing ties," MPRA Paper 47031, University Library of Munich, Germany.
    4. David Pérez-Castrillo & Marilda Sotomayor, 2023. "Constrained-optimal tradewise-stable outcomes in the one-sided assignment game: a solution concept weaker than the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(3), pages 963-994, October.
    5. Naoyuki Kamiyama, 2014. "A New Approach to the Pareto Stable Matching Problem," Mathematics of Operations Research, INFORMS, vol. 39(3), pages 851-862, August.
    6. Peter Biro & Elena Iñarra & Elena Molis, 2014. "A new solution for the roommate problem. The Q-stable matchings," ThE Papers 14/04, Department of Economic Theory and Economic History of the University of Granada..
    7. Biró, Péter & Iñarra, Elena & Molis, Elena, 2016. "A new solution concept for the roommate problem: Q-stable matchings," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 74-82.
    8. Ville Korpela & Michele Lombardi & Foivos Savva, 2025. "The difference between the weak core and the strong core from the design point of view," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 79(4), pages 1255-1281, June.
    9. Sgroi, Filippo & Totaro, Teresa & Modica, Federico & Sciortino, Caterina, 2024. "A Digital Platform Strategy to Improve Food Waste Disposal Practices: Exploring the Case of "Too Good To Go"," Research on World Agricultural Economy, Nan Yang Academy of Sciences Pte Ltd (NASS), vol. 5(01), March.

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    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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