English

Results about sets of desirable gamble sets

Artificial Intelligence 2024-05-17 v2 Computer Science and Game Theory

Abstract

Coherent sets of desirable gamble sets is used as a model for representing an agents opinions and choice preferences under uncertainty. In this paper we provide some results about the axioms required for coherence and the natural extension of a given set of desirable gamble sets. We also show that coherent sets of desirable gamble sets can be represented by a proper filter of coherent sets of desirable gambles.

Keywords

Cite

@article{arxiv.2404.17924,
  title  = {Results about sets of desirable gamble sets},
  author = {Catrin Campbell-Moore},
  journal= {arXiv preprint arXiv:2404.17924},
  year   = {2024}
}