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A Probabilistic Solution to High-Dimensional Continuous-Time Macro and Finance Models
Huang, Ji - 2023
This paper introduces the probabilistic formulation of continuous-time economic models: forward stochastic differential equations (SDE) govern the dynamics of backward-looking variables, and backward SDEs capture that of forward-looking variables. Deep learning streamlines the search for the...
Persistent link: https://www.econbiz.de/10014345557
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Production technologies in stochastic continuous time models
Wälde, Klaus - 2009
qualitative analysis. Very precise and intuition-building results are obtained by working with models which provide closed …
Persistent link: https://www.econbiz.de/10010277094
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"Ito's Lemma" and the Bellman equation for poisson processes : an applied view
Sennewald, Ken; Wälde, Klaus - 2006
Using the Hamilton-Jacobi-Bellman equation, we derive both a Keynes-Ramsey rule and a closed form solution for an optimal consumption-investment problem with labor income. The utility function is unbounded and uncertainty stems from a Poisson process. Our results can be derived because of the...
Persistent link: https://www.econbiz.de/10010261427
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Optimization Over Graphs
Kwon, Suehyun - 2019
This paper defines isomorphism for network formation that is not mathematically isomorphic. Once the pattern of network formation is characterized, one can test for (i) location fixed effects, (ii) heterogeneity, (iii) private information allowing for long-term contracts. The paper provides...
Persistent link: https://www.econbiz.de/10012892085
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Small Group Instruction to Improve Student Performance in Mathematics in Early Grades : Results from a Randomized Field Experiment
Bonesrønning, Hans; Finseraas, Henning; Hardoy, Inés; … - 2021
years. The intervention includes students aged 7-9 and consists of pulling students from their regular mathematics classes … into small, homogenous groups for mathematics instruction for 3 to 4 hours per week, for two periods of 4-6 weeks per … their performance in mathematics by .16 standard deviations at the end of the school year and by .06 standard deviations in …
Persistent link: https://www.econbiz.de/10013312078
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Optimally Controlling an Epidemic
Gonzalez-Eiras, Martín; Niepelt, Dirk - 2021
We propose a flexible model of infectious dynamics with a single endogenous state variable and economic choices. We characterize equilibrium, optimal outcomes, static and dynamic externalities, and prove the following: (i) A lockdown generically is followed by policies to stimulate activity....
Persistent link: https://www.econbiz.de/10013314771
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Stochastic Contracts and Subjective Evaluations
Lang, Matthias - 2021
Subjective evaluations are widely used, but call for different contracts from traditional moral-hazard settings. Previous literature shows that contracts require payments to third parties, which real-world contracts rarely use. I show that the implicit assumption of deterministic contracts makes...
Persistent link: https://www.econbiz.de/10013311715
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Using chebyshev polynomials to approximate partial differential equations
Caporale, Guglielmo Maria; Cerrato, Mario - 2008
differential equations. It consists in determining the value function by using a set of nodes and basis functions. We provide two …
Persistent link: https://www.econbiz.de/10010264366
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Generalized quadratic revenue functions
Chambers, Robert G.; Färe, Rolf; Grosskopf, Shawna - 2008
In this paper we focus on specification of revenue functions in their dual price space. We consider two distance … functions, both dual to the revenue function: Shephard output distance function and the directional output distance function …
Persistent link: https://www.econbiz.de/10010264442
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On the long-run evolution of technological knowledge
Hakenes, Hendrik; Irmen, Andreas - 2005
This paper revisits the debate about the appropriate differential equation that governs the evolution of knowledge in models of endogenous growth. We argue that the assessment of the appropriateness of an equation of motion should not only be based on its implications for the future, but that it...
Persistent link: https://www.econbiz.de/10010261287