 The Family of Alpha,[a,b] Stochastic Orders: Risk vs. Expected ValueBar Light and Andres Perlroth Journal of Mathematical Economics, 2021, vol. 96, issue C Abstract: In this paper we provide a novel family of stochastic orders that generalizes second order stochastic dominance, which we call the α,[a,b]-concave stochastic orders. These stochastic orders are generated by a novel set of “very” concave functions where α parameterizes the degree of concavity. The α,[a,b]-concave stochastic orders allow us to derive novel comparative statics results for important applications in economics that cannot be derived using previous stochastic orders. In particular, our comparative statics results are useful when an increase in a lottery’s riskiness changes the agent’s optimal action in the opposite direction to an increase in the lottery’s expected value. For this kind of situation, we provide a tool to determine which of these two forces dominates — riskiness or expected value. We apply our results in consumption–savings problems, self-protection problems, and in a Bayesian game. Keywords: Stochastic orders; Risk; Comparative statics (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:96:y:2021:i:c:s0304406821000835 DOI: 10.1016/j.jmateco.2021.102520 Access Statistics for this article Journal of Mathematical Economics is currently edited by Atsushi (A.) Kajii More articles in Journal of Mathematical Economics from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.