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Article
Multi-criteria minimum cost spanning tree games
Author/s | Fernández García, Francisco Ramón
Hinojosa Ramos, Miguel Ángel Puerto Albandoz, Justo |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2004 |
Deposit Date | 2015-06-23 |
Published in |
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Abstract | The minimum cost spanning tree game (mcst-game) is a well-known model within operations research games that has been widely studied in the literature. In this paper we introduce the multi-criteria version of the mcst-game ... The minimum cost spanning tree game (mcst-game) is a well-known model within operations research games that has been widely studied in the literature. In this paper we introduce the multi-criteria version of the mcst-game as a set-valued TU-game. We prove that the extension of Bird's cost allocation rule provides dominance core elements in this game. We also give a family of core solutions that are different from the previous one; these solutions are based on proportional allocations obtained using scalar solutions of the multi-criteria spanning tree problem. Besides, we prove necessary and sufficient conditions ensuring that the preference core of this game is not empty. |
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