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Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets

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  • José Alcalde

    ()
    (Universidad de Alicante)

Abstract

Two stability concepts for one-sided matching markets are analyzed: Gale- Chapley stability and S-stability. The first one applies best to markets were no status quo allocation is considered, whereas the second one is a solution to be used when property rights are allowed. A common problem of existence is shared by both solution concepts. Hence, we study economic environments where this problem does not exist, and present a family of agents' preferences for which existence is guaranteed for both Gale-Shapley stable and t-stable outcomes.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1995-04.pdf
File Function: Fisrt version / Primera version, 1995
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1995-04.

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Length: 24 pages
Date of creation: Jan 1995
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1995-04

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Related research

Keywords: Matching marlqets; Rooinmate prohlem; Stahilit y.;

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References

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  1. José Alcalde, 1995. "Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets," Working Papers. Serie AD 1995-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Subir K. Chattopadhyay, 1996. "Pareto optimal improvements for sunspots: The golden rule as a target for stabilization," Economic Theory, Springer, vol. 8(1), pages 123-135.
  3. Amparo Urbano Salvador & Larry Samuelson & Leonard J. Mirman, 1990. "Monopoly experimentation," Working Papers. Serie AD 1990-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Mirman, Leonard J & Samuelson, Larry & Urbano, Amparo, 1993. "Monopoly Experimentation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(3), pages 549-63, August.
  4. Antonio Villar Notario & Carmen Herrero Blanco, 1990. "Vector mappings with diagonal images," Working Papers. Serie AD 1990-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. Miguel Gines & Francisco Marhuenda, 1996. "Cost monotonic mechanisms," Investigaciones Economicas, Fundación SEPI, vol. 20(1), pages 89-103, January.
  6. Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. Martin Shubik, 1969. "The 'Bridge Game' Economy," Cowles Foundation Discussion Papers 267, Cowles Foundation for Research in Economics, Yale University.
  8. 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.
  9. Alcalde, Jose, 1996. "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 240-254, April.
  10. Amparo Urbano Salvador & María Dolores Alepuz Domenech, 1994. "Market learning and price-dispersion," Working Papers. Serie AD 1994-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  11. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, vol. 63(3), pages 647-66, May.
  12. Alcalde, Jose & Barbera, Salvador, 1994. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," Economic Theory, Springer, vol. 4(3), pages 417-35, May.
  13. Nikolai S. Kukushkin, 1993. "Cournot Oligopoly With "Almost" Identical Convex Costs," Working Papers. Serie AD 1993-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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Citations

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Cited by:
  1. José Alcalde, 1995. "Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets," Working Papers. Serie AD 1995-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Alcalde, Jose & Revilla, Pablo, 2004. "Researching with whom? Stability and manipulation," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 869-887, December.
  3. Alcalde, José & Romero-Medina, Antonio, 2011. "Fair School Placement," QM&ET Working Papers 11-1, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.
  4. Szilvia Papai, 2000. "Unique Stability in Simple Coalition Formation Games," Econometric Society World Congress 2000 Contributed Papers 1537, Econometric Society.
  5. José Alcalde & Pablo Revilla, 2001. "Tops Responsiveness, Strategy-Proofness And Coalition Formation Problems," Working Papers. Serie AD 2001-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Emiliya Lazarova & Peter Borm & and Arantza Estévez-Fernández, 2014. "Transfers and Exchange-Stability in Two-Sided Matching Problems," Tinbergen Institute Discussion Papers 14-086/II, Tinbergen Institute.
  7. Luis Corchón & Andreu Mas-Colell, 1995. "A Note On Stability Of Best Reply And Gradient Systems With Applications To Imperfectly Competitive Models," Working Papers. Serie AD 1995-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  8. MAULEON, Ana & MOLIS, Elena & VANNETELBOSCH, Vincent & VERGOTE, Wouter, 2011. "Absolutely stable roommate problems," CORE Discussion Papers 2011029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, vol. 18(1), pages 135-153.
  10. Jens Gudmundsson, 2014. "When do stable roommate matchings exist? A review," Review of Economic Design, Springer, vol. 18(2), pages 151-161, June.
  11. Klumpp, Tilman, 2009. "Two-sided matching with spatially differentiated agents," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 376-390, May.
  12. MAULEON, Ana & MOLIS, Elena & VANNETELBOSCH, Vincent & VERGOTE , Wouter, 2013. "Dominance invariant one-to-one matching problems," CORE Discussion Papers 2013052, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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