Amparo Urbano Salvador
This lecture provides a modeling of “group connectivity” by proposing a generalization of the concept of a graph. This new approach not only captures binary relations between agents but also high-order relations among subsets of them. The model allows us to characterize the minimal structures of cooperation survival in a spatial Prisoners’ Dilemma game in a Moore neighborhood and helps explain the existence of persistent “islands of cooperation” in hostile environments. The dynamic behavior shows an increase in the fraction of cooperators relative to the standard spatial Prisoners’ Dilemma game.