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Solutions for the Stable Roommates Problem with Payments

  • Peter Biro

    ()

    (Institute of Economics Research Centre for Economic and Regional Studies Hungarian Academy of Sciences)

  • Matthijs Bomhoff

    ()

    (Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente)

  • Walter Kern

    ()

    (Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente)

  • Petr A. Golovach

    ()

    (School of Engineering and Computing Sciences, Durham University, Science Laboratories)

  • Daniel Paulusma

    ()

    (School of Engineering and Computing Sciences, Durham University, Science Laboratories)

The stable roommates problem with payments has as input a graph G(E,V) with an edge weighting w:E_ùR+ and the problem is to find a stable solution. A solution is a matching M with a vector p.RV that satisfies pu+pv=w(uv) for all uv.M and pu=0 for all u unmatched in M. A solution is stable if it prevents blocking pairs, i.e., pairs of adjacent vertices u and v with pu+pv

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Paper provided by Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences in its series IEHAS Discussion Papers with number 1211.

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Length: 18 pages
Date of creation: Mar 2012
Date of revision:
Handle: RePEc:has:discpr:1211
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  1. László Á. Kóczy & Luc Lauwers, 2001. "The Coalition Structure Core is Accessible," Game Theory and Information 0110001, EconWPA, revised 26 Jun 2002.
  2. Péter Biró & Walter Kern & Daniël Paulusma, 2012. "Computing solutions for matching games," International Journal of Game Theory, Springer, vol. 41(1), pages 75-90, February.
  3. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2011. "On the number of blocks required to access the coalition structure core," MPRA Paper 29755, University Library of Munich, Germany.
  4. 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.
  5. 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.
  6. Johan Karlander & Kimmo Eriksson, 2001. "Stable outcomes of the roommate game with transferable utility," International Journal of Game Theory, Springer, vol. 29(4), pages 555-569.
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