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Type | Journal Article |
Scope | Discipline-based scholarship |
Title | The scale-free topology of market investments |
Organization Unit | |
Authors |
|
Item Subtype | Original Work |
Refereed | Yes |
Status | Published in final form |
Language |
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Journal Title | Physica A: Statistical Mechanics and its Applications |
Publisher | Elsevier |
Geographical Reach | international |
ISSN | 0378-4371 |
Volume | 350 |
Number | 2 |
Page Range | 491 - 499 |
Date | 2005 |
Abstract Text | We propose a network description of large market investments, where both stocks and shareholders are represented as vertices connected by weighted links corresponding to shareholdings. In this framework, the in-degree ($k_{in}$) and the sum of incoming link weights (v) of an investor correspond to the number of assets held (portfolio diversification) and to the invested wealth (portfolio volume), respectively. An empirical analysis of three different real markets reveals that the distributions of both $k_{in}$ and v display power-law tails with exponents y and a. Moreover, we find that $k_{in}$ scales as a power-law function of v with an exponent b. Remarkably, despite the values of a, b and y differ across the three markets, they are always governed by the scaling relation b = (1-a)/(1-y). We show that these empirical findings can be reproduced by a recent model relating the emergence of scale-free networks to an underlying Paretian distribution of ‘hidden’ vertex properties. |
Digital Object Identifier | 10.1016/j.physa.2004.11.040 |
Other Identification Number | merlin-id:10155 |
PDF File | Download from ZORA |
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