2014
DOI: 10.1016/j.red.2013.09.004
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Learning, large deviations and rare events

Abstract: We examine the role of generalized constant gain stochastic gradient (SGCG) learning in generating large deviations of an endogenous variable from its rational expectations value. We show analytically that these large deviations can occur with a frequency associated with a fat tailed distribution even though the model is driven by thin tailed exogenous stochastic processes. We characterize these large deviations that are driven by sequences of consistently low or consistently high shocks. We then apply our mod… Show more

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Cited by 23 publications
(13 citation statements)
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“…This keeps learning alive. For example, Benhabib and Dave (2014) show that constant gain learning can generate persistent excess volatility, and can explain why asset prices have fat-tailed distributions even when the distribution of fundamentals is thin-tailed.…”
Section: To Believe Is To Seementioning
confidence: 99%
See 2 more Smart Citations
“…This keeps learning alive. For example, Benhabib and Dave (2014) show that constant gain learning can generate persistent excess volatility, and can explain why asset prices have fat-tailed distributions even when the distribution of fundamentals is thin-tailed.…”
Section: To Believe Is To Seementioning
confidence: 99%
“…Our paper builds on the work of Benhabib and Dave (2014). The key parameter in their analysis is the update gain.…”
Section: To Believe Is To Seementioning
confidence: 99%
See 1 more Smart Citation
“…61 Contributions include Adam, Beutel and Marcet (2013), Adam, Marcet, and Nicolini (2012), CarcelesPoveda and Giannitsarou (2008), Benhabib and Dave (2014), Branch and Evans (2010, 2011), and Sinha (2014. 62 Recent studies on the interactions between monetary policy and asset pricing under learning include Airaudo, Nisticò, and Zanna (2014), Winkler (2015), Gelain, Lansing, and Mendicino (2013), Kitney (2014), Pintus and Suda (2014), Gelain, Lansing, andNatvik (2015), Dewachter, Iania, and Lyrio (2011), Milani (2008) and Caputo, Medina, and Soto (2011).…”
mentioning
confidence: 99%
“…In a series of papers [25,31,54,70,106,126], the results of [56,86] and [58,61] have been extended to the case where the coefficients (ρ n , ξ n ) n∈Z in Equation (1.2) are modulated by a Markov chain. The extension is desirable in many, especially financial, applications, see for instance [9,10,25,67,118].…”
Section: Geometric Brownian Motion With Regime Switchesmentioning
confidence: 99%