Dependence uncertainty: a decision-theoretic approach

Fuente: arXiv
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Autori principali: Bauch, Gerrit, Hartmann, Lorenz
Natura: Preprint
Pubblicazione: 2025
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author Bauch, Gerrit
Hartmann, Lorenz
author_facet Bauch, Gerrit
Hartmann, Lorenz
contents We propose and axiomatize preferences on a product state space in light of uncertainty regarding the dependency of different payoff-relevant factors. Dependence structures allow to decompose probabilities and allow to pin down behavior towards dependence. The degree of dependence aversion is measured by dependence premia that are compatible with the encompassed MEU and smooth preferences on the dependence uncertainty set. A separation axiom clarifies when uncertainty about dependence breaks down and the decision maker treats factors as independent, making dependence neglect testable. We describe the dependence uncertainty set as a convex polytope and characterize their extreme points as maximizers of divergences. The model and its tools are applied to simple examples on climate change, insurance, and portfolio choice.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13416
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dependence uncertainty: a decision-theoretic approach
Bauch, Gerrit
Hartmann, Lorenz
Theoretical Economics
We propose and axiomatize preferences on a product state space in light of uncertainty regarding the dependency of different payoff-relevant factors. Dependence structures allow to decompose probabilities and allow to pin down behavior towards dependence. The degree of dependence aversion is measured by dependence premia that are compatible with the encompassed MEU and smooth preferences on the dependence uncertainty set. A separation axiom clarifies when uncertainty about dependence breaks down and the decision maker treats factors as independent, making dependence neglect testable. We describe the dependence uncertainty set as a convex polytope and characterize their extreme points as maximizers of divergences. The model and its tools are applied to simple examples on climate change, insurance, and portfolio choice.
title Dependence uncertainty: a decision-theoretic approach
topic Theoretical Economics
url https://arxiv.org/abs/2503.13416