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A Non-constructive Elementary Proof of the Existence of Stable Marriages

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Cited by:

  1. 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.
  2. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
  3. Alcalde, Jose & Revilla, Pablo, 2004. "Researching with whom? Stability and manipulation," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 869-887, December.
  4. Bando, Keisuke, 2014. "A modified deferred acceptance algorithm for many-to-one matching markets with externalities among firms," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 173-181.
  5. Lahiri, S., 2004. "Stable outcomes for contract choice problems," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 15(4), pages 409-418.
  6. José Alcalde & Antonio Romero-Medina, 2006. "Coalition Formation and Stability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 365-375, October.
  7. Hakan İnal, 2015. "Core of coalition formation games and fixed-point methods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 745-763, December.
  8. 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.
  9. , & , J. & ,, 2011. "Von Neumann-Morgenstern farsightedly stable sets in two-sided matching," Theoretical Economics, Econometric Society, vol. 6(3), September.
  10. 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.
  11. 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.
  12. Robert P. Gilles & Emiliya A. Lazarova & Pieter H. M. Ruys, 2007. "Stability, Specialization And Social Recognition," Division of Labor & Transaction Costs (DLTC), World Scientific Publishing Co. Pte. Ltd., vol. 2(02), pages 83-109.
  13. Bonifacio, Agustín G. & Guiñazú, Nadia & Juarez, Noelia & Neme, Pablo & Oviedo, Jorge, 2022. "The lattice of worker-quasi-stable matchings," Games and Economic Behavior, Elsevier, vol. 135(C), pages 188-200.
  14. Dimitrov, Dinko & Lazarova, Emiliya, 2011. "Two-sided coalitional matchings," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 46-54, July.
  15. 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.
  16. Somdeb Lahiri, 2005. "Stable Outcomes for Two-Sided Contract Choice Problems," Computational and Mathematical Organization Theory, Springer, vol. 10(4), pages 323-334, January.
  17. Jacob Schwartz & Kyungchul Song, 2021. "The Law of Large Numbers for Large Stable Matchings," Papers 2101.00399, arXiv.org, revised Mar 2024.
  18. Gilles, Robert P. & Lazarova, Emiliya A. & Ruys, Pieter H.M., 2015. "Stability in a network economy: The role of institutions," Journal of Economic Behavior & Organization, Elsevier, vol. 119(C), pages 375-399.
  19. Wu, Qingyun & Roth, Alvin E., 2018. "The lattice of envy-free matchings," Games and Economic Behavior, Elsevier, vol. 109(C), pages 201-211.
  20. Sotomayor, Marilda, 2003. "A Dynamic Price-Setting Mechanism for a Hybrid Matching Market," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 23(2), November.
  21. Yi-You Yang, 2023. "Firm-quasi-stability and re-equilibration in matching markets with contracts," Papers 2305.17948, arXiv.org, revised Jul 2023.
  22. Dimitrov, Dinko & Lazarova, Emiliya A., 2008. "Coalitional Matchings," Coalition Theory Network Working Papers 37523, Fondazione Eni Enrico Mattei (FEEM).
  23. Joana Pais, 2006. "On Random Matching Markets: Properties and Equilibria," Working Papers Department of Economics 2006/11, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
  24. Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
  25. Sotomayor, Marilda, 2007. "Core structure and comparative statics in a hybrid matching market," Games and Economic Behavior, Elsevier, vol. 60(2), pages 357-380, August.
  26. Mill'an Guerra Beatriz Alejandra, 2022. "The outcome of the restabilization process in matching markets," Papers 2202.12452, arXiv.org.
  27. Marilda Sotomayor, 2016. "On Simple Outcomes and Cores," Working Papers, Department of Economics 2016_05, University of São Paulo (FEA-USP).
  28. Beatriz Millán & Eliana Pepa Risma, 2018. "Random path to stability in a decentralized market with contracts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 79-103, June.
  29. Papai, Szilvia, 2004. "Unique stability in simple coalition formation games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 337-354, August.
  30. Cantala, David, 2004. "Restabilizing matching markets at senior level," Games and Economic Behavior, Elsevier, vol. 48(1), pages 1-17, July.
  31. Kamada, Yuichiro & Kojima, Fuhito, 2017. "Stability concepts in matching under distributional constraints," Journal of Economic Theory, Elsevier, vol. 168(C), pages 107-142.
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