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Resumen de Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms

Gustavo Bergantiños Cid Árbol académico, Juan José Vidal Puga Árbol académico

  • In the context of minimum cost spanning tree problems, we present a bargaining mechanism for connecting all agents to the source and dividing the cost amongst them. The basic idea is very simple: we ask each agent the part of the cost he is willing to pay for an arc to be constructed. We prove that there exists a unique payoff allocation associated with the subgame perfect Nash equilibria of this bargaining mechanism. Moreover, this payoff allocation coincides with the rule defined in Bergantiños and Vidal-Puga.


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