The Bird Core for Minimum Cost Spanning Tree Problems Revisited: Monotonicity and Additivity Aspects
Norde, Henk; Branzei, Rodica; Moretti, Stefano; Tijs, Stef (2006), The Bird Core for Minimum Cost Spanning Tree Problems Revisited: Monotonicity and Additivity Aspects, in Seeger, Alberto, Recent Advances in Optimization, Springer : Berlin, p. 305-322. http://dx.doi.org/10.1007/3-540-28258-0_19
Book titleRecent Advances in Optimization
Book authorSeeger, Alberto
Series titleLecture Notes in Economics and Mathematical Systems
Number of pages455
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Abstract (EN)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.
Subjects / Keywordsminimum costs spanning tree situation; cooperative game theory; aspects monotonicity
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Tijs, Stef; Branzei, Rodica; Moretti, Stefano; Norde, Henk (2006) Article accepté pour publication ou publié