IDEAS home Printed from https://ideas.repec.org/p/tiu/tiutis/63cc8f02-2ae6-41bb-9211-7938ccf8b5c6.html
   My bibliography  Save this paper

Connection Problems in Mountains and Monotonic Allocation Schemes

Author

Listed:
  • Moretti, S.
  • Norde, H.W.

    (Tilburg University, School of Economics and Management)

  • Pham Do, K.H.

    (Tilburg University, School of Economics and Management)

  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

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.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another v
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Moretti, S. & Norde, H.W. & Pham Do, K.H. & Tijs, S.H., 2001. "Connection Problems in Mountains and Monotonic Allocation Schemes," Other publications TiSEM 63cc8f02-2ae6-41bb-9211-7, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:63cc8f02-2ae6-41bb-9211-7938ccf8b5c6
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/538317/12.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Maurice Salles, 2016. "Social choice," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.),Handbook on the History of Economic Analysis Volume III, chapter 36, pages 518-537, Edward Elgar Publishing.
    2. 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.
    3. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 9(2), pages 139-199, December.
    2. Norde, H.W. & Moretti, S. & Tijs, S.H., 2001. "Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes," Other publications TiSEM 794e124d-6be4-494d-a14f-4, Tilburg University, School of Economics and Management.
    3. Brânzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2003. "The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations," Discussion Paper 2003-129, Tilburg University, Center for Economic Research.
    4. 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," Other publications TiSEM 530f2c60-024d-4f3e-b724-1, Tilburg University, School of Economics and Management.
    5. Borm, P.E.M. & Hamers, H.J.M. & Hendrickx, R.L.P., 2001. "Operations Research Games : A Survey," Other publications TiSEM 04f265e0-8043-4d4f-bf27-2, Tilburg University, School of Economics and Management.
    6. 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.
    7. Tijs, Stef & Branzei, Rodica & Moretti, Stefano & Norde, Henk, 2006. "Obligation rules for minimum cost spanning tree situations and their monotonicity properties," European Journal of Operational Research, Elsevier, vol. 175(1), pages 121-134, November.
    8. Giulia Cesari & Roberto Lucchetti & Stefano Moretti, 2017. "Generalized additive games," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 919-939, November.
    9. repec:dau:papers:123456789/4879 is not listed on IDEAS
    10. 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.
    11. Brânzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2003. "The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations," Other publications TiSEM de0e437c-1588-469d-a2ff-a, Tilburg University, School of Economics and Management.
    12. Tijs, S.H. & Brânzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation Rules for Minimum Cost Spanning Tree Situations and their Monotonicity Properties," Other publications TiSEM 78d24994-1074-4329-b911-c, Tilburg University, School of Economics and Management.

    More about this item

    JEL classification:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tiu:tiutis:63cc8f02-2ae6-41bb-9211-7938ccf8b5c6. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Richard Broekman). General contact details of provider: https://www.tilburguniversity.edu/about/schools/economics-and-management/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.