Pairwise solutions and the core of transportation situations

The main aim of this paper is to study the relationship between the so-called pairwise solutions and the core of transportation situations (or games). With this objective in mind, we show that every core element of a transportation situation is contained in a pairwise solution with a specific weight...

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Bibliographic Details
Published in:European journal of operational research 2006-11, Vol.175 (1), p.101-110
Main Author: Sánchez-Soriano, Joaquín
Format: Article
Language:English
Subjects:
Applied sciences
Core
Correlation analysis
Decision theory
Exact sciences and technology
Flows in networks. Combinatorial problems
Game theory
Operational research and scientific management
Operational research. Management science
Studies
Transportation
Transportation problem
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Summary:The main aim of this paper is to study the relationship between the so-called pairwise solutions and the core of transportation situations (or games). With this objective in mind, we show that every core element of a transportation situation is contained in a pairwise solution with a specific weight system. Therefore every core element is, in fact, a particular pairwise distribution. Furthermore, given a core element, we outline a procedure in three steps to obtain the corresponding pairwise distribution with weight system.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2005.04.033