English

Probability Premium and Attitude Towards Probability

Risk Management 2021-05-04 v1

Abstract

Employing a generalized definition of Pratt (1964) and Arrow's (1965, 1971) probability premium, we introduce a new concept of attitude towards probability. We illustrate in a problem of risk sharing that whether attitude towards probability is a first-order or second-order phenomenon has important economic applications. By developing a local approximation to the probability premium, we show that the canonical rank-dependent utility model usually exhibits attitude towards probability of first order, whereas under the dual theory with smooth probability weighting functions attitude towards probability is a second-order trait.

Keywords

Cite

@article{arxiv.2105.00054,
  title  = {Probability Premium and Attitude Towards Probability},
  author = {Louis R. Eeckhoudt and Roger J. A. Laeven},
  journal= {arXiv preprint arXiv:2105.00054},
  year   = {2021}
}
R2 v1 2026-06-24T01:41:07.274Z