The Evolution of Roommate Networks: A Comment on Jackson and Watts JET (2002)
AbstractIn this note we extend Jackson and WattsJET2002''s result on the coincidence of S-stochastically stable and core stable networks from the marriage problem to the solvable roommate problem. In particular, we show that the polarization structure of the marriage problem on which the proof of Jackson and WattsJET2002 hinges, is not crucial for their result.
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Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 012.
Date of creation: 2007
Date of revision:
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Web page: http://www.maastrichtuniversity.nl/web/UMPublications.htm
Other versions of this item:
- Bettina Klaus & Flip Klijn & Markus Walzl, 2007. "The Evolution of Roommate Networks: A Comment on Jackson and Watts JET (2002)," UFAE and IAE Working Papers 694.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Bettina Klaus & Flip Klijn & Markus Walzl, 2007. "The Evolution of Roommate Networks: A Comment on Jackson and Watts JET (2002)," Working Papers 296, Barcelona Graduate School of Economics.
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-04-28 (All new papers)
- NEP-GTH-2007-04-28 (Game Theory)
- NEP-NET-2007-04-28 (Network Economics)
- NEP-SOC-2007-04-28 (Social Norms & Social Capital)
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.:
- Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
- 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.
- Jackson, Matthew O. & Watts, Alison, 2002.
"The Evolution of Social and Economic Networks,"
Journal of Economic Theory,
Elsevier, vol. 106(2), pages 265-295, October.
- Roth, Alvin E. & Sotomayor, Marilda, 1992.
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
- Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
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