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Erschienen in: Journal of Economic Interaction and Coordination 2/2020

13.03.2018 | Regular Article

Network calibration and metamodeling of a financial accelerator agent based model

verfasst von: Leonardo Bargigli, Luca Riccetti, Alberto Russo, Mauro Gallegati

Erschienen in: Journal of Economic Interaction and Coordination | Ausgabe 2/2020

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Abstract

We introduce a simple financially constrained production framework in which heterogeneous firms and banks maintain multiple credit connections. The parameters of credit market interaction are estimated from real data in order to reproduce a set of empirical regularities of the Japanese credit market. We then pursue the metamodeling approach, i.e. we derive a reduced form for a set of simulated moments \(h(\theta ,s)\) through the following steps: (1) we run agent-based simulations using an efficient sampling design of the parameter space \(\Theta \); (2) we employ the simulated data to estimate and then compare a number of alternative statistical metamodels. Then, using the best fitting metamodels, we study through sensitivity analysis the effects on h of variations in the components of \(\theta \in \Theta \). Finally, we employ the same approach to calibrate our agent-based model (ABM) with Japanese data. Notwithstanding the fact that our simple model is rejected by the evidence, we show th at metamodels can provide a methodologically robust answer to the question “does the ABM replicate empirical data?”.

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Fußnoten
1
For a review see Chen et al. (2012).
 
2
A network involving n firms and m banks connected by l links is said to be sparse when \(l \ll n \times m \), otherwise it is said to be dense. The Japanese credit market studied in Bargigli and Gallegati (2011), whose most recent data are employed in this paper, had \(l = 21,811\) connections over a maximum of \(n \times m = 2,674 \times 182 = 486,668\) in 2005.
 
3
By topological property we mean any observable which is defined on a binary network or on the binary representation of a weighted network. The latter is obtained from the binary representation of its weighted links, which is defined, for each couple of nodes (ij), as \(a_{ij} = 1(w_{ij}>0)\), where https://static-content.springer.com/image/art%3A10.1007%2Fs11403-018-0217-8/MediaObjects/11403_2018_217_IEq30_HTML.gif is the Indicator function and \(w_{ij}\) is the strength of the relationship between i and j.
 
4
Admittedly, with this choice we introduce potentially a small survivor bias in the model, since surviving firms are typically larger. However, the number of firm defaults is very limited over the parameter space we use for simulations and we choose the median (instead of the mean) in order to minimize the bias.
 
6
In detail, we employ random intercepts in a generalized linear mixed model estimated with the R Core Team (2015) package lme4.
 
7
The first 200 periods are discarded to get rid of transient dynamics that could introduce a bias in model statistics. Moreover, the long period of simulation does not represent a long-run analysis but a repeated business cycle analysis. In other words, we do not consider the presence of a trend in time-series by construction.
 
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Metadaten
Titel
Network calibration and metamodeling of a financial accelerator agent based model
verfasst von
Leonardo Bargigli
Luca Riccetti
Alberto Russo
Mauro Gallegati
Publikationsdatum
13.03.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Economic Interaction and Coordination / Ausgabe 2/2020
Print ISSN: 1860-711X
Elektronische ISSN: 1860-7128
DOI
https://doi.org/10.1007/s11403-018-0217-8

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