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Solutions for the Stable Roommates Problem with Payments

Péter Biró, Matthijs Bomhoff (m.j.bomhoff@math.utwente.nl), Walter Kern (w.kern@math.utwente.nl), Petr A. Golovach (daniel.paulusma@durham.ac.uk) and Daniel Paulusma (petr.golovach@durham.ac.uk)
Additional contact information
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

No 1211, CERS-IE WORKING PAPERS from Institute of Economics, Centre for Economic and Regional Studies

Abstract: The stable roommates problem with payments has as input a graph G(E,V) with an edge weighting w:E_ůR+ 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

Keywords: roommates problem; matching game; cooperative game theory (search for similar items in EconPapers)
JEL-codes: C61 C63 C71 C78 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2012-03
New Economics Papers: this item is included in nep-gth
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Citations: View citations in EconPapers (13)

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