# On the set of extreme core allocations for minimal cost spanning tree problems

*Christian Trudeau* () and
*Juan Vidal-Puga*

*Journal of Economic Theory*, 2017, vol. 169, issue C, 425-452

**Abstract:**
Minimal 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. We propose a method, based on the concept of marginal games, to generate all extreme points of the corresponding core. We show that three of the most famous solutions to share the cost of mcst problems, the Bird, folk and cycle-complete solutions, are closely related to our method.

**Keywords:** Minimal cost spanning tree problems; Extreme core allocations; Reduced game; Bird solution; Folk solution; Cycle-complete solution (search for similar items in EconPapers)

**JEL-codes:** C71 D63 (search for similar items in EconPapers)

**Date:** 2017

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**Related works:**

Working Paper: On the set of extreme core allocations for minimal cost spanning tree problems (2015)

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**Persistent link:** https://EconPapers.repec.org/RePEc:eee:jetheo:v:169:y:2017:i:c:p:425-452

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