IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Dominance invariant one-to-one matching problems

  • MAULEON, Ana

    ()

    (CEREC, Université Saint-Louis, Brussels, Belgium; Université catholique de Louvain, CORE, Belgium)

  • MOLIS, Elena

    (Universidad de Granada)

  • VANNETELBOSCH, Vincent

    ()

    (CEREC, Université Saint-Louis, Brussels, Belgium; Université catholique de Louvain, CORE, Belgium)

  • VERGOTE , Wouter

    ()

    (CEREC, Université Saint-Louis, Brussels, Belgium; Université catholique de Louvain, CORE, Belgium)

Solution concepts in social environments use either a direct or indirect dominance relationship, depending on whether it is assumed that agents are myopic or farsighted. Direct dominance implies indirect dominance, but not the reverse. Hence, the predicted outcomes when assuming myopic (direct) or farsighted (in- direct) agents could be very different. In this paper, we characterize dominance invariant one-to-one matching problems when preferences are strict. That is, we obtain the conditions on preference profiles such that indirect dominance implies direct dominance in these problems and give them an intuitive interpretation. Whenever some of the conditions are not satisfied, it is important to know the kind of agents that are being investigated in order to use the appropriate stability concept. Furthermore, we characterize dominance invariant one-to-one matching problems having a non-empty core. Finally, we show that, if the core of a dominance invariant one-to-one matching problem is not empty, it contains a unique matching, the dominance invariant stable matching, in which all agents who mutually top rank each other are matched to one another and all other agents remain unmatched.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://uclouvain.be/cps/ucl/doc/core/documents/coredp2013_52web.pdf
Download Restriction: no

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2013052.

as
in new window

Length:
Date of creation: 23 Oct 2013
Date of revision:
Handle: RePEc:cor:louvco:2013052
Contact details of provider: Postal:
Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium)

Phone: 32(10)474321
Fax: +32 10474304
Web page: http://www.uclouvain.be/core
Email:


More information through EDIRC

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.:

as in new window
  1. HERINGS, Jean - Jacques & MAULEON, Ana & VANNETELBOSCH, Vincent, 2010. "Coalition formation among farsighted agents," CORE Discussion Papers 2010022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Frank H. Page Jr. & Myrna H. Wooders & Samir Kamat, 2002. "Networks and Farsighted Stability," Computing in Economics and Finance 2002 370, Society for Computational Economics.
  3. Manuel Förster & Ana Mauleon & Vincent J. Vannetelbosch, 2014. "Trust and Manipulation in Social Networks," Working Papers 2014.50, Fondazione Eni Enrico Mattei.
  4. BAUWENS, Luc & otranto, EDOARDO, 2013. "Modeling the dependence of conditional correlations on volatility," CORE Discussion Papers 2013014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Ana Mauleon & Vincent Vannetelbosch, 2004. "Farsightedness and Cautiousness in Coalition Formation Games with Positive Spillovers," Theory and Decision, Springer, vol. 56(3), pages 291-324, 05.
  6. José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 275-287, December.
  7. Kirchsteiger, Georg & Mantovani, Marco & Mauleon, Ana & Vannetelbosch, Vincent, 2011. "Myopic or Farsighted? An Experiment on Network Formation," CEPR Discussion Papers 8263, C.E.P.R. Discussion Papers.
  8. Ehlers, Lars, 2007. "Von Neumann-Morgenstern stable sets in matching problems," Journal of Economic Theory, Elsevier, vol. 134(1), pages 537-547, May.
  9. Effrosyni Diamantoudi & Licun Xue, . "Farsighted Stability in Hedonic Games," Economics Working Papers 2000-12, Department of Economics and Business Economics, Aarhus University.
  10. Goyal, S. & Joshi, S., 1999. "Bilateralism and free trade," Econometric Institute Research Papers EI 9953-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  11. Bettina-Elisabeth Klaus & Flip Klijn & Markus Walzl, 2009. "Farsighted Stability for Roommate Markets," Harvard Business School Working Papers 09-135, Harvard Business School.
  12. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
  13. Vannetelbosch, Vincent J. & Mauleon, Ana & Vergote, Wouter, 2011. "Von Neumann-Morgenstern farsightedly stable sets in two-sided matching," Theoretical Economics, Econometric Society, vol. 6(3), September.
  14. Jean Hindriks & Gareth D. Myles, 2006. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262083442, December.
  15. DREZE, Jacques & DURRE, Alain, 2013. "Fiscal integration and growth stimulation in Europe," CORE Discussion Papers 2013013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  16. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, vol. 67(2), pages 526-541, November.
  17. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
  18. Jin Zhang & Licun Xue & Lei Zu, 2013. "Farsighted free trade networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 375-398, May.
  19. Nigar Hashimzade & Jean Hindriks & Gareth D. Myles, 2006. "Solutions Manual to Accompany Intermediate Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582694, December.
  20. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
  21. Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
  22. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
  23. 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.
  24. Iñarra, E. & Larrea, C. & Molis, E., 2013. "Absorbing sets in roommate problems," Games and Economic Behavior, Elsevier, vol. 81(C), pages 165-178.
  25. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:cor:louvco:2013052. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alain GILLIS)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.