The Bird Core for Minimum Cost Spanning Tree problems Revisited: Monotonicity and Additivity Aspects
AbstractA 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.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2005-3.
Date of creation: 2005
Date of revision:
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cost allocation; minimum cost spanning tree games; Bird core; cost monotonicity; cone additivity;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-03-06 (All new papers)
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