Sets of Models and Prices of Uncertainty

Working Paper: NBER ID: w22000

Authors: Lars P. Hansen; Thomas J. Sargent

Abstract: A decision maker constructs a convex set of nonnegative martingales to use as likelihood ratios that represent parametric alternatives to a baseline model and also non-parametric models statistically close to both the baseline model and the parametric alternatives. Max-min expected utility over that set gives rise to equilibrium prices of model uncertainty expressed as worst-case distortions to drifts in a representative investor's baseline model. We offer quantitative illustrations for baseline models of consumption dynamics that display long-run risk. We describe a set of parametric alternatives that generates countercyclical prices of uncertainty.

Keywords: Model Uncertainty; Equilibrium Pricing; Decision Making

JEL Codes: C01; C02; C14; C52; E3


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
model uncertainty (D80)equilibrium prices of model uncertainty (D89)
convex set of nonnegative martingales (D52)equilibrium prices of model uncertainty (D89)
maxmin expected utility over convex set of models (D81)equilibrium prices of model uncertainty (D89)
alternative parametric models (C51)countercyclical prices of uncertainty (D89)

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