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Connection problems in mountains and monotonic allocation schemes

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Author Info
Moretti, S.
Norde, H.
Pham Do, K.H. (Tilburg University, Center for Economic Research)

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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 the corresponding 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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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 12.

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Date of creation: 2001
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Handle: RePEc:dgr:kubcen:200112

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This paper has been announced in the following NEP Reports: References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Branzei, R. & Tijs, S. & Timmer, J., 2000. "Cooperative games arising from information sharing situations," Discussion Paper 42, Tilburg University, Center for Economic Research. [Downloadable!]
  2. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
  3. Voorneveld, M. & Tijs, S. & Grahn, S., 2000. "Monotonic allocation schemes in clan games," Discussion Paper 80, Tilburg University, Center for Economic Research. [Downloadable!]
  4. Norde, H. & Moretti, S. & Tijs, S., 2001. "Minimum cost spanning tree games and population monotonic allocation schemes," Discussion Paper 18, Tilburg University, Center for Economic Research. [Downloadable!]
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  5. 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. [Downloadable!] (restricted)
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  1. Branzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2003. "The p-value for cost sharing in minimum cost spanning tree situations," Discussion Paper 129, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Tijs, Stef & Moretti, Stefano & Branzei, Rodica & Norde, Henk, 2005. "The Bird core for minimum cost spanning tree problems revisited: monotonicity and additivity aspects," Discussion Paper 3, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Tijs, S.H. & Branzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation rules for minimum cost spanning tree situations and their monotonicity properties," Discussion Paper 53, Tilburg University, Center for Economic Research. [Downloadable!]
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  4. Norde, H. & Moretti, S. & Tijs, S., 2001. "Minimum cost spanning tree games and population monotonic allocation schemes," Discussion Paper 18, Tilburg University, Center for Economic Research. [Downloadable!]
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