No advantageous merging in minimum cost spanning tree problems

  1. Gómez Rúa, María
  2. Vidal Puga, Juan José
Revista:
Working paper series ( RGEA )

Ano de publicación: 2006

Número: 9

Tipo: Documento de traballo

Resumo

In the context of cost sharing in minimum cost spanning tree problems, we introduce a property called No Advantageous Merging. This property implies that no group of agents can be better o.. claiming to be a single node. We show that the sharing rule that assigns to each agent his own connection cost (the Bird rule) satisfies this property. Moreover, we provide a characterization of the Bird rule using No Advantageous Merging.