relation: http://eprints.imtlucca.it/1110/
title: The topology of shareholding networks
creator: Battiston, Stefano 
creator: Garlaschelli, Diego
creator: Caldarelli, Guido
subject: HA Statistics
subject: HG Finance
subject: QA Mathematics
description: 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.
publisher: Springer
contributor: Lux, Thomas
contributor: Samanidou, Eleni
contributor: Reitz, Stefan
date: 2005
type: Book Section
type: PeerReviewed
identifier:   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)  
relation: http://dx.doi.org/10.1007/3-540-27296-8_13
relation: 10.1007/3-540-27296-8_13