A Social Capital Index
Abstract
We define an index of social capital using gametheoretical concepts. We assume that interests of individuals are presented by means of a cooperative game which take into account possible different players abilities whereas the network of relations is modeled by a graph. The social capital of each actor is then measured as the difference between his Myerson value and his Shapley value.
 Publication:

Numerical Analysis and Applied Mathematics ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics
 Pub Date:
 September 2011
 DOI:
 10.1063/1.3637017
 Bibcode:
 2011AIPC.1389.2041G
 Keywords:

 game theory;
 graph theory;
 social sciences;
 set theory;
 02.50.Le;
 02.10.Ox;
 89.65.Ef;
 02.10.Ab;
 Decision theory and game theory;
 Combinatorics;
 graph theory;
 Social organizations;
 anthropology;
 Logic and set theory