This tool computes the power distribution within a voting game, using a cooperative game theory concept. It quantifies each player’s influence by considering all possible voting coalitions and measuring how often a player’s vote is pivotal in changing the outcome. For instance, in a committee of three with unequal voting weights, this method could reveal whether the member with the largest weight truly holds proportional power or if the dynamics of coalition formation grant others more influence.
Analysis based on this concept provides valuable insights for understanding decision-making processes in various settings, from corporate boardrooms to legislative bodies. By illuminating the real distribution of power, it helps negotiate fairer agreements, design more effective voting structures, and predict coalition formations. This method, developed by Lloyd Shapley and Martin Shubik in the mid-20th century, has become a cornerstone of political science and business strategy, enabling more nuanced analyses of collective decision-making than traditional voting weight assessments allow.