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

Stef Tijs (), Stefano Moretti (), Rodica Branzei () and Henk Norde ()
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Stef Tijs: University of Genoa
Stefano Moretti: University of Genoa
Rodica Branzei: “Alexandru Ioan Cuza” University
Henk Norde: Tilburg University

A chapter in Recent Advances in Optimization, 2006, pp 305-322 from Springer

Abstract: Summary 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.

Keywords: Cooperative Game; Allocation Rule; Cost Allocation; Axiomatic Characterization; Minimum Cost Span Tree (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-28258-7_19

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DOI: 10.1007/3-540-28258-0_19

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