English

Representing choice functions by a total hyper-order

Theoretical Economics 2021-07-08 v1 Computer Science and Game Theory

Abstract

Choice functions over a set XX that satisfy the Outcast, a.k.a. Aizerman, property are exactly those that attach to any set its maximal subset relative to some total order of 2X{2}^{X}.

Cite

@article{arxiv.2107.02798,
  title  = {Representing choice functions by a total hyper-order},
  author = {Daniel Lehmann},
  journal= {arXiv preprint arXiv:2107.02798},
  year   = {2021}
}

Comments

2 pages

R2 v1 2026-06-24T03:56:35.110Z