New Centrality Measures in Networks and their Applications to the International Trade and Migration Networks

New centrality indices in networks are introduced in which parameters of a node and a group influence of nodes to a node are taken into account. The Bundle Influence and Pivotal Influence as well as Copeland in-degree indices are evaluated using the data on international trade and international migration. The influence of the countries is evaluated for four years, 2001, 2006, 2011, and 2016. The Total Influence as a linear combination of the three indices is calculated.