We present a detailed analysis of the self-organization phenomenon in which the stylized facts originate from finite size effects with respect to the number of agents considered and disappear in the limit of an infinite population. By introducing the possibility that agents can enter or leave the market depending on the behavior of the price, it is possible to show that the system self-organizes in a regime with a finite number of agents which corresponds to the stylized facts. The mechanism for entering or leaving the market is based on the idea that a too stable market is unappealing for traders, while the presence of price movements attracts agents to enter and speculate on the market. We show that this mechanism is also compatible with the idea that agents are scared by a noisy and risky market at shorter timescales. We also show that the mechanism for self-organization is robust with respect to variations of the exit/entry rules and that the attempt to trigger the system to self-organize in a region without stylized facts leads to an unrealistic dynamics. We study the self-organization in a specific agent based model but we believe that the basic ideas should be of general validity.

Mechanisms of self-organization and finite size effects in a minimal agent based model / Alfi, Valentina; Cristelli, Matthieu; Pietronero, Luciano; A., Zaccaria. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2009:3(2009), pp. P03016-P03016. [10.1088/1742-5468/2009/03/p03016]

Mechanisms of self-organization and finite size effects in a minimal agent based model

ALFI, Valentina;CRISTELLI, MATTHIEU;PIETRONERO, Luciano;
2009

Abstract

We present a detailed analysis of the self-organization phenomenon in which the stylized facts originate from finite size effects with respect to the number of agents considered and disappear in the limit of an infinite population. By introducing the possibility that agents can enter or leave the market depending on the behavior of the price, it is possible to show that the system self-organizes in a regime with a finite number of agents which corresponds to the stylized facts. The mechanism for entering or leaving the market is based on the idea that a too stable market is unappealing for traders, while the presence of price movements attracts agents to enter and speculate on the market. We show that this mechanism is also compatible with the idea that agents are scared by a noisy and risky market at shorter timescales. We also show that the mechanism for self-organization is robust with respect to variations of the exit/entry rules and that the attempt to trigger the system to self-organize in a region without stylized facts leads to an unrealistic dynamics. We study the self-organization in a specific agent based model but we believe that the basic ideas should be of general validity.
2009
critical phenomena of socio-economic systems; interacting agent models; models of financial markets; scaling in socio-economic systems
01 Pubblicazione su rivista::01a Articolo in rivista
Mechanisms of self-organization and finite size effects in a minimal agent based model / Alfi, Valentina; Cristelli, Matthieu; Pietronero, Luciano; A., Zaccaria. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2009:3(2009), pp. P03016-P03016. [10.1088/1742-5468/2009/03/p03016]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1770
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