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Network hierarchy in Kirman's ant model: fund investment can create systemic risk

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  • Alfarano, Simone
  • Milaković, Mishael
  • Raddant, Matthias

Abstract

Kirman's ant model has been used to characterize the expectation formation of financial investors who are prone to herding. The model's original version suffers from the problem of N-dependence: its ability to replicate the statistical features of financial returns vanishes once the system size N is increased. In a generalized version of the ant model, the network structure connecting agents turns out to determine whether or not the model is N-dependent. We investigate a class of hierarchical networks in the generalized model that presumably reflect the institutional heterogeneity of financial markets. These network structures do overcome the problem of N-dependence, but at the same time they also increase system-wide volatility. Thus network structure becomes an auxiliary source of volatility in addition to the behavioral heterogeneity of interacting agents. --

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Bibliographic Info

Paper provided by Christian-Albrechts-University of Kiel, Department of Economics in its series Economics Working Papers with number 2009,09.

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Date of creation: 2009
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Handle: RePEc:zbw:cauewp:200909

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Keywords: herding; financial markets; networks; N-dependence; systemic risk;

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References

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  1. Alfarano, Simone & Lux, Thomas & Wagner, Friedrich, 2006. "Time-variation of higher moments in a financial market with heterogeneous agents: An analytical approach," Economics Working Papers 2006,16, Christian-Albrechts-University of Kiel, Department of Economics.
  2. Lux, Thomas & Schornstein, Sascha, 2002. "Genetic learning as an explanation of stylized facts of foreign exchange markets," Discussion Paper Series 1: Economic Studies 2002,29, Deutsche Bundesbank, Research Centre.
  3. Masanao Aoki, 2006. "Thermodynamic Limits of Macroeconomic or Financial Models: One-and Two-Parameter Poisson-Dirichlet Models," CIRJE F-Series CIRJE-F-445, CIRJE, Faculty of Economics, University of Tokyo.
  4. Russ Wermers, 1999. "Mutual Fund Herding and the Impact on Stock Prices," Journal of Finance, American Finance Association, vol. 54(2), pages 581-622, 04.
  5. Kirman, Alan, 1993. "Ants, Rationality, and Recruitment," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 137-56, February.
  6. Simone Alfarano & Thomas Lux & Friedrich Wagner, 2005. "Estimation of Agent-Based Models: The Case of an Asymmetric Herding Model," Computational Economics, Society for Computational Economics, vol. 26(1), pages 19-49, August.
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Cited by:
  1. Chang, Chia-ling & Chen, Shu-heng, 2011. "Interactions in DSGE models: The Boltzmann-Gibbs machine and social networks approach," Economics Discussion Papers 2011-25, Kiel Institute for the World Economy.
  2. Chen, Shu-heng & Chang, Chia-ling, 2012. "Interactions in the New Keynesian DSGE models: The Boltzmann-Gibbs machine and social networks approach," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 6(26), pages 1-32.

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