A Social Capital Index
Abstract
We define an index of social capital using game-theoretical 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