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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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    References listed on IDEAS

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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, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
    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. Chen, Ning & Li, Mengling, 2013. "Ties matter: improving efficiency in course allocation by introducing ties," MPRA Paper 47031, University Library of Munich, Germany.
    2. Péter Biró & Elena Inarra & Elena Molis, 2014. "A new solution for the roommate problem: The Q-stable matchings," IEHAS Discussion Papers 1422, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
    3. Marilda Sotomayor, 2016. "Modeling cooperative decision situations: the deviation function form and the equilibrium concept," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(3), pages 743-768, August.
    4. 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.

    More about this item

    Keywords

    Pareto-optimal; Stable matching; Pareto-stable matching; Simple matching; Pareto-simple matching; C78; D78;

    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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