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Additive representations on a simplex

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Publication:2101439
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DOI10.1016/j.jmateco.2022.102769zbMath1505.91158OpenAlexW4300963558MaRDI QIDQ2101439

Wei-Zhi Qin, Hendrik Rommeswinkel

Publication date: 6 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmateco.2022.102769


zbMATH Keywords

utilitarianismsimplexpreferencesutility representationadditive separability


Mathematics Subject Classification ID

Individual preferences (91B08) Resource and cost allocation (including fair division, apportionment, etc.) (91B32)


Related Items (1)

On reaching social consent



Cites Work

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  • Independent preferences
  • Combining additive representations on subsets into an overall representation
  • The algebraic versus the topological approach to additive representations
  • From local to global additive representation
  • Independence, additivity, uncertainty. With contributions by Birgit Grodal
  • On the functional equation \(F(x+y,z)+F(x,y)=F(x,y+z)+F(y,z)\)
  • The Structure of Utility Functions


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