Minimum cost spanning tree problems with groups

DOI10.1007/S00199-009-0444-2zbMath1229.91038OpenAlexW2124307080MaRDI QIDQ964464

Gustavo Bergantiños, María Gómez-Rúa

Publication date: 15 April 2010

Published in: Economic Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00199-009-0444-2

zbMATH Keywords

cost allocationcoalitional valueminimum cost spanning tree problems

Mathematics Subject Classification ID

Cooperative games (91A12) Games involving graphs (91A43) Resource and cost allocation (including fair division, apportionment, etc.) (91B32)

Related Items (8)

A monotonic and merge-proof rule in minimum cost spanning tree situations ⋮ Cost allocation in asymmetric trees ⋮ Characterization of monotonic rules in minimum cost spanning tree problems ⋮ Algorithms for computing the folk rule in minimum cost spanning tree problems with groups ⋮ Fair waste pricing: an axiomatic analysis to the NIMBY problem ⋮ CHARACTERIZATIONS OF THE KAR AND FOLK SOLUTIONS FOR MINIMUM COST SPANNING TREE PROBLEMS ⋮ Cost-allocation problems for fuzzy agents in a fixed-tree network ⋮ An axiomatic approach in minimum cost spanning tree problems with groups

Cites Work

• Unnamed Item
• Unnamed Item
• Axiomatization of the Shapley value on minimum cost spanning tree games
• A non-cooperative approach to the cost spanning tree problem.
• Cost monotonicity, consistency and minimum cost spanning tree games
• Optimal equilibria in the non-cooperative game associated with cost spanning tree problem
• The Shapley value of a patent licensing game: the asymptotic equivalence to non-cooperative results
• A characterization of optimistic weighted Shapley rules in minimum cost spanning tree problems
• Additivity in minimum cost spanning tree problems
• Implementing cooperative solution concepts: a generalized bidding approach
• Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms
• Minimum cost spanning tree games and population monotonic allocation schemes.
• Component efficient solutions in line-graph games with applications
• ``Optimistic weighted Shapley rules in minimum cost spanning tree problems
• The optimistic \(TU\) game in minimum cost spanning tree problems
• A fair rule in minimum cost spanning tree problems
• The \(P\)-value for cost sharing in minimum
• The irreducible Core of a minimum cost spanning tree game
• Noncooperative cost spanning tree games with budget restrictions
• On cost allocation for a spanning tree: A game theoretic approach

This page was built for publication: Minimum cost spanning tree problems with groups