English

Extended Relative Maximum Likelihood Updating of Choquet Beliefs

Theoretical Economics 2021-09-07 v1

Abstract

Cheng(2021) proposes and characterizes Relative Maximum Likelihood (RML) updating rule when the ambiguous beliefs are represented by a set of priors. Relatedly, this note proposes and characterizes Extended RML updating rule when the ambiguous beliefs are represented by a convex capacity. Two classical updating rules for convex capacities, Dempster-Shafer (Shafer, 1976) and Fagin-Halpern rules (Fagin and Halpern, 1990) are included as special cases of Extended RML.

Keywords

Cite

@article{arxiv.2109.02597,
  title  = {Extended Relative Maximum Likelihood Updating of Choquet Beliefs},
  author = {Xiaoyu Cheng},
  journal= {arXiv preprint arXiv:2109.02597},
  year   = {2021}
}

Comments

10 pages. arXiv admin note: substantial text overlap with arXiv:1911.02678