Resumen de Multicriteria Minimum Spanning Tree Games

Miguel Ángel Hinojosa Ramos, C. Fernández, Francisco Ramón Fernández García, Justo Puerto Albandoz

• 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.