TY - CHAP PB - Springer T2 - Nonlinear dynamics and heterogeneous interacting agents SN - 978-3-540-27296-0 ED - Lux, Thomas ED - Samanidou, Eleni ED - Reitz, Stefan N2 - 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. ID - eprints1110 EP - 199 UR - http://dx.doi.org/10.1007/3-540-27296-8_13 M1 - III A1 - Battiston, Stefano A1 - Garlaschelli, Diego A1 - Caldarelli, Guido Y1 - 2005/// KW - Stock Market; Share-holding; Complex Networks; Scale-Free AV - none SP - 189 TI - The topology of shareholding networks T3 - Lecture Notes in Economics and Mathematical Systems ER -