Title

Preserving the Rothschild–Stiglitz type of increasing risk with background risk

Document Type

Journal article

Source Publication

Insurance: Mathematics and Economics

Publication Date

9-2016

Volume

70

First Page

144

Last Page

149

Publisher

Elsevier BV

Keywords

Increasing risk, Background risk, Expectation dependence, Mean-preserving spread, Comparison of risk

Abstract

Background risk refers to a risk that is exogenous and is not subject to transformations by a decision-maker. In this paper, we extend the definition of the Rothschild–Stiglitz type of increasing risk to a background risk framework. We theoretically investigate a more general definition of increase in risk in the presence of background risk. The results suggest that an extended concept of expectation dependence plays a vital role.

DOI

10.1016/j.insmatheco.2016.06.008

Print ISSN

01676687

E-ISSN

18735959

Funding Information

The research described here was supported by the Natural Science Foundation of Jiangsu Province, China, Grant No. BK20150732; the National Natural Science Foundation of China with Grant No. 71401074; General Research Fund of the Hong Kong Research Grants Council under Research Project No. LU13500814; the Faculty Research Grant of Lingnan University under Research Project No. DB15A2 and No. DB16A1.

Publisher Statement

Copyright © 2016 Elsevier B.V.. Access to external full text or publisher's version may require subscription.

Full-text Version

Publisher’s Version

Recommended Citation

Guo, X., Li, J. Y., Liu, D. R., & Wang, J. L. (2016). Preserving the Rothschild–Stiglitz type of increasing risk with background risk. Insurance: Mathematics and Economics, 70, 144-149. doi: 10.1016/j.insmatheco.2016.06.008