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Connection problems in mountains and monotonic allocation schemes

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Author Info

  • Stefano Moretti

    ()

  • Henk Norde

    ()

  • Kim Pham Do

    ()

  • Stef Tijs

    ()

Abstract

Directed minimum cost spanning tree problems of a special kind are studied,namely those which show up in considering the problem of connecting units (houses)in mountains with a purifier.For such problems an easy method is described to obtain a minimum cost spanning tree.The related cost sharing problem is tackled by considering thecorresponding cooperative cost game with the units as players and also the related connection games,for each unit one.The cores of the connection games have a simple structure and each core element can be extended to a population monotonic allocation scheme (pmas)and also to a bi-monotonic allocation scheme.These pmas-es for the connection games result in pmas-es for the cost game.

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File URL: http://hdl.handle.net/10.1007/BF02578942
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Bibliographic Info

Article provided by Springer in its journal Top.

Volume (Year): 10 (2002)
Issue (Month): 1 (June)
Pages: 83-99

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Handle: RePEc:spr:topjnl:v:10:y:2002:i:1:p:83-99

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Related research

Keywords: Minimum cost spanning tree problems; monotonic allocation scheme; 91A12; 91A43;

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References

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  1. Voorneveld, M. & Tijs, S.H. & Grahn, S., 2003. "Monotonic allocation schemes in clan games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-91573, Tilburg University.
  2. Norde, H.W. & Moretti, S. & Tijs, S.H., 2001. "Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes," Discussion Paper 2001-18, Tilburg University, Center for Economic Research.
  3. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
  4. Brânzei, R. & Tijs, S.H. & Timmer, J.B., 2000. "Cooperative Games arising from Information Sharing Situations," Discussion Paper 2000-42, Tilburg University, Center for Economic Research.
  5. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
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Cited by:
  1. Norde, Henk & Moretti, Stefano & Tijs, Stef, 2004. "Minimum cost spanning tree games and population monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 154(1), pages 84-97, April.
  2. Tijs, S.H. & Moretti, S. & Brânzei, R. & Norde, H.W., 2005. "The Bird Core for Minimum Cost Spanning Tree problems Revisited: Monotonicity and Additivity Aspects," Discussion Paper 2005-3, Tilburg University, Center for Economic Research.
  3. Zara, Stefano & Patrone, Fioravante & Moretti, Stefano & Dinar, Ariel, 2006. "Application of Stochastic Cooperative Games in Water Resources," Economics Papers from University Paris Dauphine 123456789/4879, Paris Dauphine University.
  4. Tijs, S.H. & Brânzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation Rules for Minimum Cost Spanning Tree Situations and their Monotonicity Properties," Discussion Paper 2004-53, Tilburg University, Center for Economic Research.

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