Multicriteria Minimum Spanning Tree Games
- Hinojosa Ramos, Miguel Ángel
- Fernández, C.
- Fernández García, Francisco Ramón
- Puerto Albandoz, Justo
- Bilbao Arrese, Jesús Mario (coord.)
- Fernández García, Francisco Ramón (coord.)
Éditorial: Universidad de Sevilla
ISBN: 84-472-0733-1
Année de publication: 2002
Pages: 105
Type: Chapitre d'ouvrage
Résumé
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.