Multicriteria Minimum Spanning Tree Games

• Autores: Miguel Ángel Hinojosa Ramos , C. Fernández, Francisco Ramón Fernández García , Justo Puerto Albandoz
• Localización: Abstracts of the Fifth Spanish Meeting on Game Theory and Applications / coord. por Jesús Mario Bilbao Arrese , Francisco Ramón Fernández García , 2002, ISBN 84-472-0733-1, pág. 105
• Idioma: inglés
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• Resumen

  • 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 multicriteria version of the MCST-game as a set-valued TU-game. We prove that the extension of Bird�s 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 by supported scalar solutions of the multicriteria spanning tree problem. Besides, we prove sufficient conditions ensuring that Bird�s rule belongs to the preference core of this game.