Explore coalitional games on social networks in this 48-minute lecture by Edith Elkind at the Hausdorff Center for Mathematics. Delve into the characterization of graph families with polynomially many feasible coalitions and examine the complexity of computing solution concepts and parameters in these games. Discover the connection between coalitional games on social networks and the synergy coalition group representation, including new complexity results. Investigate topics such as TU coalitional games, games on networks, stability and fairness in coalitional games, algorithms for optimal partition and Shapley value, and the characteristics of sparse networks. Gain insights into condensed graphs, bounds in terms of weight and number, and the efficiency of algorithms in synergy coalition groups.