Minimum cost spanning tree problems connect agents efficiently to a source with the cost of using an edge fixed. We revisit the dispute between the Kar and folk solutions, two solution concepts to divide the common cost of connection based on the Shapley value. We introduce a property called...

Minimum cost spanning tree problems connect agents efficiently to a source when agents are located at different points and the cost of using an edge is fixed. The folk and cycle-complete cost sharing solutions always offer core allocations. We provide similar characterizations for both. A new...

A review of the literature on cost sharing solutions for the minimum cost spanning tree problem is proposed, with a particular focus on the folk and Kar solutions. We compare the characterizations proposed, helped by some equivalencies between sets of properties.