Additive representations on a simplex

Wei zhi Qin, Hendrik Rommeswinkel*

*この研究の対応する著者

研究成果: Article査読

抄録

We characterize additive representations on subsets of product spaces with an empty interior such as simplexes and certain homeomorphisms thereof. Previously, all additive representation theorems only applied to spaces in which any coordinate can be changed without changing any of the other coordinates. We identify a novel preference condition that is necessary and sufficient for the existence of additive representations. Our results provide, for instance, a characterization of utilitarianism on the Pareto frontier of a cake division problem.

本文言語English
論文番号102769
ジャーナルJournal of Mathematical Economics
103
DOI
出版ステータスPublished - 2022 12月
外部発表はい

ASJC Scopus subject areas

  • 経済学、計量経済学
  • 応用数学

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