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Theory and Experiment

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TLDR
The authors studies the impact of ambiguity and ambiguity aversion on equilibrium asset prices and portfolio holdings in competitive financial markets, and finds that attitudes toward ambiguity are heterogeneous across the population, just as attitudes toward risk are heterogenous across the populations, but that heterogeneity of attitudes towards ambiguity has different implications than heterogeneity of attitude toward risk, and that investors who have cognitive biases do not affect prices because they are infra-marginal.
Abstract
This paper studies the impact of ambiguity and ambiguity aversion on equilibrium asset prices and portfolio holdings in competitive financial markets. It argues that attitudes toward ambiguity are heterogeneous across the population, just as attitudes toward risk are heterogeneous across the population, but that heterogeneity of attitudes toward ambiguity has different implications than heterogeneity of attitudes toward risk. In particular, when some state probabilities are not known, agents who are sufficiently ambiguity averse find open sets of prices for which they refuse to hold an ambiguous portfolio. This suggests a different cross-section of portfolio choices, a wider range of state price/probability ratios and different rankings of state price/probability ratios than would be predicted if state probabilities were known. Experiments confirm all of these suggestions. Our findings contradict the claim that investors who have cognitive biases do not affect prices because they are infra-marginal: ambiguity averse investors have an indirect effect on prices because they change the per-capita amount of risk that is to be shared among the marginal investors. Our experimental data also suggest a positive correlation between risk aversion and ambiguity aversion that might explain the “value effect” in historical data.

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References
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Risk, Ambiguity, and the Savage Axioms

TL;DR: The notion of "degrees of belief" was introduced by Knight as mentioned in this paper, who argued that people tend to behave "as though" they assigned numerical probabilities to events, or degrees of belief to the events impinging on their actions.
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Stability of Polyatomic Molecules in Degenerate Electronic States. I. Orbital Degeneracy

TL;DR: In this paper, it was shown that if the total electronic state of orbital and spin motion is degenerate, then a non-linear configuration of the molecule will be unstable unless the degeneracy is the special twofold one (discussed by Kramers 1930) which can occur only when the molecule contains an odd number of electrons.
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Value Versus Growth: The International Evidence

TL;DR: For example, this paper found that value stocks have higher returns than growth stocks in markets around the world, and that the difference between the average returns on global portfolios of high and low book-to-market stocks is 7.60% per year.
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Neural Systems Responding to Degrees of Uncertainty in Human Decision-Making

TL;DR: Using functional brain imaging, it is shown that the level of ambiguity in choices correlates positively with activation in the amygdala and orbitofrontal cortex, and negatively with the striatal system, suggesting a general neural circuit responding to degrees of uncertainty, contrary to decision theory.
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Ambiguity Aversion, Robustness, and the Variational Representation of Preferences

TL;DR: In this article, the authors characterize the preferences for which there are a utility functionu on outcomes and an ambiguity indexc on the set of probabilities on the states of the world such that, for all acts f and g,