Playing it Safe: Actions Attractive to the Risk Averse

Fuente: arXiv
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Main Authors: Pease, Marilyn, Whitmeyer, Mark
Format: Preprint
Published: 2023
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author Pease, Marilyn
Whitmeyer, Mark
author_facet Pease, Marilyn
Whitmeyer, Mark
contents We introduce a way to compare actions in decision problems. One action is safer than another if the set of beliefs at which the decision-maker prefers the safer action expands as the decision-maker becomes more risk averse. We provide a full characterization of this relation, show that it is equivalent to robust conceptions of single-crossing and second-order stochastic dominance, and reveal that in monotone decision problems it totally orders the decision-maker's set of actions. We discuss applications to games, insurance, investment hedging, and security design.
format Preprint
id arxiv_https___arxiv_org_abs_2310_17517
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Playing it Safe: Actions Attractive to the Risk Averse
Pease, Marilyn
Whitmeyer, Mark
Theoretical Economics
We introduce a way to compare actions in decision problems. One action is safer than another if the set of beliefs at which the decision-maker prefers the safer action expands as the decision-maker becomes more risk averse. We provide a full characterization of this relation, show that it is equivalent to robust conceptions of single-crossing and second-order stochastic dominance, and reveal that in monotone decision problems it totally orders the decision-maker's set of actions. We discuss applications to games, insurance, investment hedging, and security design.
title Playing it Safe: Actions Attractive to the Risk Averse
topic Theoretical Economics
url https://arxiv.org/abs/2310.17517