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Copy file name to clipboardExpand all lines: lectures/doubts_or_variability.md
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@@ -507,7 +507,7 @@ We compare four preference specifications over consumption plans $C^\infty \in \
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For origins of the names **multiplier** and **constraint** preferences, see {cite:t}`HansenSargent2001`.
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The risk-sensitive preference specification used here comes from {cite:t}`hansen1995discounted`, which adjusts specifications used earlier by
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{cite:t}`jacobson1973optimal`, {cite:t}`Whittle_1981`, and {cite:t}`Whittle_1990` to accommodate discounting in a way that preserves time-invariant optimal decision rules.
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{cite:t}`Jacobson_73`, {cite:t}`Whittle_1981`, and {cite:t}`Whittle_1990` to accommodate discounting in a way that preserves time-invariant optimal decision rules.
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```
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*Type I agent (Kreps--Porteus--Epstein--Zin--Tallarini)* with
Copy file name to clipboardExpand all lines: lectures/risk_aversion_or_mistaken_beliefs.md
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@@ -808,7 +808,7 @@ An agent who is like a good econometrician:
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Robust control theory formalises this idea by having the agent optimally distort probability assessments toward a worst-case scenario, producing belief distortions that look like the "mistakes" identified by PSS but that arise from a coherent response to model uncertainty rather than from ignorance.
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(See {doc}`Robustness <rob>` for the decision-theoretic foundations of multiplier and constraint preferences.)
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(See {doc}`Robustness <robustness>` for the decision-theoretic foundations of multiplier and constraint preferences.)
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### Hansen's dubious agent
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- {doc}`Likelihood Ratio Processes <intermediate:likelihood_ratio_process>` develops the mathematical properties of likelihood ratios, the central device organising this lecture, including their martingale structure and statistical applications.
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- {doc}`Divergence Measures <intermediate:divergence_measures>` covers Kullback-Leibler divergence and relative entropy in detail, providing the information-theoretic foundations for the entropy constraints used in the robust control sections.
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- {doc}`Affine Models of Asset Prices <intermediate:affine_risk_prices>` extends the linear Gaussian state-space framework to affine and exponential-quadratic stochastic discount factors, developing risk-neutral pricing formulas closely related to those derived here.
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- {doc}`Robustness <rob>` introduces the multiplier and constraint preferences that formalise fear of model misspecification, providing the decision-theoretic foundations for the Hansen and Szőke worst-case analysis developed here.
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- {doc}`Robustness <robustness>` introduces the multiplier and constraint preferences that formalise fear of model misspecification, providing the decision-theoretic foundations for the Hansen and Szőke worst-case analysis developed here.
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- {doc}`The Hansen-Jagannathan Bound <hansen_jagannathan_1991>` derives bounds on the stochastic discount factor from asset return data, offering an empirical discipline on the likelihood ratios and risk prices studied in this lecture.
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