Skip to main content
Article
Preserving the Rothschild–Stiglitz type of increasing risk with background risk
Insurance: Mathematics and Economics
  • Xu GUO, Beijing Normal University; Nanjing University of Aeronautics and Astronautics
  • Jingyuan LI, Lingnan University, Hong Kong
  • Dongri LIU, Lingnan University, Hong Kong
  • Jian Li WANG, Nanjing University of Aeronautics and Astronautics
Document Type
Journal article
Publication Date
9-1-2016
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
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
Citation Information
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