Biodiversity, Shapley value and phylogenetic trees: some remarks

DOI10.1007/s00285-019-01439-zzbMath1435.92046OpenAlexW2768093306WikidataQ90892205 ScholiaQ90892205MaRDI QIDQ2299263

Hubert Stahn

Publication date: 21 February 2020

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://hal-amu.archives-ouvertes.fr/hal-02417290/file/Stahn_Biodiversity%2C%20Shapley%20value%20and%20phylogenetic%20trees.pdf

zbMATH Keywords

Shapley valuephylogenetic treesbiodiversityfair proportion index

Mathematics Subject Classification ID

Trees (05C05) Problems related to evolution (92D15) Cooperative games (91A12) Applications of game theory (91A80)

Related Items (2)

Correlation between Shapley values of rooted phylogenetic trees under the beta-splitting model ⋮ Mathematical indices for the influence of risk factors on the lethality of a disease

Uses Software

• FairShapley

Cites Work

• A new formula for the Shapley value
• The equivalence of two phylogenetic biodiversity measures: the Shapley value and fair proportion index
• Equality of Shapley value and fair proportion index in phylogenetic trees
• The Shapley value of phylogenetic trees
• A canonical decomposition theory for metrics on a finite set
• Comparing the rankings obtained from two biodiversity indices: the fair proportion index and the Shapley value
• On the Shapley value of unrooted phylogenetic trees
• Correlation between Shapley values of rooted phylogenetic trees under the beta-splitting model
• The Noah's Ark Problem
• A NEW MEASURE OF RANK CORRELATION
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