Uncertain risk aversion

Jian Zhou, Yuanyuan Liu*, Xiaoxia Zhang, Xin Gu, Di Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

This paper discusses the risk aversion within the framework of the uncertainty theory (Liu in Uncertainty theory: A branch of mathematics for modeling human uncertainty. Springer, Berlin, 2010b), and introduces the notions of uncertain expected utility and uncertain risk premium. In terms of the Arrow–Pratt index, an uncertain version of Pratt’s theorem is proved, which offers an effective way to make comparisons between different individuals’ risk-averse attitudes. We suggest that uncertain risk aversion can be used to measure human’s risk-averse attitudes when uncertainty exists due to lack of the observed data, just as probabilistic risk aversion when sufficient data can be obtained. Uncertain risk aversion provides an alternative method to compare the risk aversions between individuals under uncertain situations.

Original languageEnglish
Pages (from-to)615-624
Number of pages10
JournalJournal of Intelligent Manufacturing
Volume28
Issue number3
DOIs
Publication statusPublished - 1 Mar 2017
Externally publishedYes

Keywords

  • Pratt’s theorem
  • Risk aversion
  • Risk premium
  • Uncertainty theory

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