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The Evolution of Roommate Networks: A Comment on Jackson and Watts JET (2002)

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  • Klaus, Bettina
  • Klijn, Flip
  • Walzl, Markus

    (METEOR)

Abstract

In 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 Info

Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 012.

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Date of creation: 2007
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Handle: RePEc:dgr:umamet:2007012

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Web page: http://www.maastrichtuniversity.nl/web/UMPublications.htm

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Keywords: microeconomics ;

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  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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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