eprintid: 1110
rev_number: 11
eprint_status: archive
userid: 6
dir: disk0/00/00/11/10
datestamp: 2012-02-03 14:52:07
lastmod: 2018-03-08 17:07:59
status_changed: 2012-02-03 14:52:07
type: book_section
metadata_visibility: show
creators_name: Battiston, Stefano 
creators_name: Garlaschelli, Diego
creators_name: Caldarelli, Guido
creators_id: 
creators_id: diego.garlaschelli@imtlucca.it
creators_id: guido.caldarelli@imtlucca.it
title: The topology of shareholding networks
ispublished: pub
subjects: HA
subjects: HG
subjects: QA
divisions: EIC
full_text_status: none
keywords: Stock Market; Share-holding; Complex Networks; Scale-Free 
abstract: We study the statistical properties of the network of shareholding relationships in the Italian stock market (MIB) and in two US stock markets (NYSE and NASDAQ). The networks are found to be scale free a feature which doesn't seem to be in accord with classical theories of portfolio optimization. Several statistical properties differ across markets and allow for a classification. We introduce two quantities, HI and SI, analogous to in-degree and out-degree for weighted graphs. The distribution of HI and SI allow us to characterize from a statistical perspective the individual ownership concentration of stocks and the individual power of holders. They also suggest two different global pictures of the structure of the networks: the MIB seems characterized by medium size holders controlling separate subsets of stocks, while the US markets seem characterized by very large holders sharing control over subsets of stocks.
date: 2005
series: Lecture Notes in Economics and Mathematical Systems 
volume: III
number: 550
publisher: Springer
pagerange: 189-199
id_number: 10.1007/3-540-27296-8_13
refereed: TRUE
isbn: 978-3-540-27296-0
book_title: Nonlinear dynamics and heterogeneous interacting agents
editors_name: Lux, Thomas
editors_name: Samanidou, Eleni
editors_name: Reitz, Stefan
official_url: http://dx.doi.org/10.1007/3-540-27296-8_13
citation:   Battiston, Stefano  and Garlaschelli, Diego and Caldarelli, Guido  The topology of shareholding networks.   In:  Nonlinear dynamics and heterogeneous interacting agents.   Lecture Notes in Economics and Mathematical Systems , III  (550).  Springer, pp. 189-199.  ISBN 978-3-540-27296-0      (2005)