English

A simple proof for the convexity of the Choquet integral

Functional Analysis 2015-01-08 v1 Probability

Abstract

This note presents an elementary and direct proof for the convexity of the Choquet integral when the corresponding set function is submodular.

Keywords

Cite

@article{arxiv.1501.01453,
  title  = {A simple proof for the convexity of the Choquet integral},
  author = {Aurélien Alfonsi},
  journal= {arXiv preprint arXiv:1501.01453},
  year   = {2015}
}