Power Indices for Finance

The weight of the share stock of a company may be described by power indices that quantify the possibility for each shareholder to get majority positions by coalitions with other shareholders. To study such indices allows us to build efficient models for forecasting, simulating, and regulating financial, political, and economic fields. An overview of financial applications of power indices is presented; this was carried out at the University of Bergamo along with partners in Europe and United States. New explanations and examples are added so as to better illustrate the results obtained. Additionally, certain open problems are described.