The Bird Core for Minimum Cost Spanning Tree problems Revisited: Monotonicity and Additivity Aspects

S.H. Tijs, S. Moretti, R. Brânzei, H.W. Norde

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Abstract

A new way is presented to define for minimum cost spanning tree (mcst-) games the irreducible core, which is introduced by Bird in 1976.The Bird core correspondence turns out to have interesting monotonicity and additivity properties and each stable cost monotonic allocation rule for mcst-problems is a selection of the Bird core correspondence.Using the additivity property an axiomatic characterization of the Bird core correspondence is obtained.
Original languageEnglish
Place of PublicationTilburg
PublisherMicroeconomics
Number of pages22
Volume2005-3
Publication statusPublished - 2005

Publication series

NameCentER Discussion Paper
Volume2005-3

Keywords

  • cost allocation
  • minimum cost spanning tree games
  • Bird core
  • cost monotonicity
  • cone additivity

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    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. (CentER Discussion Paper; Vol. 2005-3). Microeconomics.