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

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Author Info
José Alcalde () (Universidad de Alicante)

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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
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File Function: Fisrt version / Primera version, 1995
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Publisher 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
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Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1995-04

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

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Begoña Subiza & Carmen Herrero Blanco, 1991. "A Characterization Of Acyclic Preferences On Countable Sets," Working Papers. Serie AD 1991-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  2. Mª Carmen Sánchez, 1995. "Rational Choice On Nonfinite Sets By Means Of Expansion-Contraction Axioms," Working Papers. Serie AD 1995-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  3. Luis Corchón & Carmen Beviá Baeza, 1993. "On The Generic Impossibility Of Truthful Behavior: A Simple Approach," Working Papers. Serie AD 1993-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
    Other versions:
  4. Fernando Vega Redondo, 1993. "Shaping Long-Run Expectations In Problems Of Coordination," Working Papers. Serie AD 1993-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  5. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, vol. 63(3), pages 647-66, May. [Downloadable!] (restricted)
  6. Fernando Vega Redondo, 1993. "Industrial Dynamics, Path-Dependence And Technological Change," Working Papers. Serie AD 1993-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  7. Antonio Villar Notario, 1991. "Market Equilibrium With Nonconvex Technologies," Working Papers. Serie AD 1991-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  8. Gonzalo Olcina Vauteren & Amparo Urbano Salvador, 1993. "INTROSPECTION AND EQUILIBRIUM SELECTION IN 2x2 MATRIX GAMES," Working Papers. Serie AD 1993-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  9. Carmen Herrero Blanco, 1995. "Capabilities And Utilities," Working Papers. Serie AD 1995-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  10. Luis Corchón & Simon Wilkie, 1995. "Implementation Of The Walrasian Correspondence By Market Games," Working Papers. Serie AD 1995-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  11. 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). [Downloadable!]
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  12. María Dolores Guilló, 1995. "Terms-Of-Trade And The Current Account: A Two-Country/Two-Sector Growth Model," Working Papers. Serie AD 1995-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  13. Fernando Vega Redondo, 1991. "Competition And Culture In The Evolution Of Economic Behavior: A Simple Example," Working Papers. Serie AD 1991-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  14. Carmen Herrero, 1997. "Endogenous reference points and the adjusted proportional solution for bargaining problems with claims," Social Choice and Welfare, Springer, vol. 15(1), pages 113-119. [Downloadable!] (restricted)
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  15. Herrero, Carmen & Marco, Maria Carmen, 1993. "Rational equal-loss solutions for bargaining problems," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 273-286, November. [Downloadable!] (restricted)
  16. 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. [Downloadable!] (restricted)
  17. Marhuenda, Francisco & Ortuno-Ortin, Ignacio, 1997. " Tax Enforcement Problems," Scandinavian Journal of Economics, Blackwell Publishing, vol. 99(1), pages 61-72, March. [Downloadable!] (restricted)
  18. María del Carmen Marco Gil, 1993. "A Characterization Of The Extended Claim-Egalitarian Solution," Working Papers. Serie AD 1993-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  19. Carmen Herrero Blanco & José Manuel Gutiérrez Díez, 1990. "Lagrangean Conditions For General Optimization Problems With Applications To Consumer Theory," Working Papers. Serie AD 1990-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  20. Luis Corchón & Simon Wilkie, 1990. "Doubly Implementing The Ratio Correspondence With A "Natural" Mechanism," Working Papers. Serie AD 1990-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  21. Corchon, Luis & Ritzberger, Klaus, 1992. "On the Non-Cooperative Foundations of Cooperative Bargaining," MPRA Paper 18461, University Library of Munich, Germany. [Downloadable!]
  22. José Alcalde, 1995. "Implementation of Stable Solutions to Marriage Problems," Working Papers. Serie AD 1995-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  23. Luis Corchón, 1990. "Monopolistic Competition: Equilibrium And Optimality," Working Papers. Serie AD 1990-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  24. Javier M. López Cuñat & José Angel Silva, 1991. "First-Best, Second-Best And Principal-Agent Problems," Working Papers. Serie AD 1991-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  25. Miguel Gines & Francisco Marhuenda, 1996. "Cost monotonic mechanisms," Investigaciones Economicas, Fundación SEPI, vol. 20(1), pages 89-103, January. [Downloadable!]
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  26. Luis Corchón, 1993. "Comparative Statics For Market Games: The Strong Concavity Case," Working Papers. Serie AD 1993-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  27. Luis Corchón & Ignacio Ortuño Ortín, 1991. "Robust Implementation Under Alternative Information Structures," Working Papers. Serie AD 1991-12, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  28. Fernando Vega Redondo, 1991. "Technological Change And Market Structure: An Evolutionary Approach," Working Papers. Serie AD 1991-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  29. Corchon, Luis, 1994. "Imperfectly competitive markets, trade unions and inflation: Do imperfectly competitive markets transmit more inflation than perfectly competitive ones? A theoretical appraisal," MPRA Paper 18627, University Library of Munich, Germany. [Downloadable!]
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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). [Downloadable!]
  2. José Alcalde & Pablo Revilla, 2003. "Researching with Whom? Stability and Manipulation," Economic Working Papers at Centro de Estudios Andaluces E2003/35, Centro de Estudios Andaluces. [Downloadable!]
    Other versions:
  3. Simon Clark, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, Berkeley Electronic Press, vol. 0(1). [Downloadable!]
  4. 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). [Downloadable!]
  5. Suryapratim Banerjee & Hideo Konishi & Tayfun Sonmez, 1999. "Core in a Simple Coalition Formation Game," Boston College Working Papers in Economics 449, Boston College Department of Economics. [Downloadable!]
    Other versions:
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