Relaxations of symmetry and the weighted Shapley values

DOI10.1016/j.econlet.2018.12.031zbMath1409.91019OpenAlexW2907680205WikidataQ128673209 ScholiaQ128673209MaRDI QIDQ1730167

André Casajus

Publication date: 11 March 2019

Published in: Economics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.econlet.2018.12.031

zbMATH Keywords

TU gameweighted Shapley valuesmutual dependencesign symmetrysuperweak sign symmetryweak sign symmetry

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (10)

A note on sign symmetry for a subclass of efficient, symmetric, and linear values ⋮ Necessary versus equal players in axiomatic studies ⋮ Two new classes of methods to share the cost of cleaning up a polluted river ⋮ Axiomatic characterizations of the family of Weighted priority values ⋮ Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set ⋮ Similarities in axiomatizations: equal surplus division value and first-price auctions ⋮ Weakly balanced contributions and the weighted Shapley values ⋮ Players' nullification and the weighted (surplus) division values ⋮ Shapley value for TU-games with multiple memberships and externalities ⋮ The grand surplus value and repeated cooperative cross-games with coalitional collaboration

Cites Work

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• Monotonic solutions of cooperative games
• On weighted Shapley values
• On the symmetric and weighted Shapley values
• Symmetry, mutual dependence, and the weighted Shapley values
• Sign symmetry vs symmetry: Young's characterization of the Shapley value revisited
• On axiomatizations of the weighted Shapley values
• Weighted weak semivalues
• Potential, Value, and Consistency

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