On the Shapley value of a minimum cost spanning tree problem
Gustavo Bergantiños and
Game Theory and Information from EconWPA
We associate an optimistic coalitional game with each minimum cost spanning tree problem. We define the worth of a coalition as the cost of connection assuming that the rest of the agents are already connected. We define a cost sharing rule as the Shapley value of this optimistic game. We prove that this rule coincides with a rule present in the literature under different names. We also introduce a new characterization using a property of equal contributions.
Keywords: minimum; cost; spanning; tree; problems; Shapley; value (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
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Note: Type of Document - pdf; pages: 17
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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpga:0509001
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