CSH researcher Tuan Pham will present his work (done together with Jan Kobel, Rudolf Hanel, and Stefan Thurner) at the Networks2021 Satellite: OpLaDyn, which takes place on July 2.
The evolution of social (signed) triads towards the so-called balanced state with either three or one positive link often results in the formation of clusters of positively-linked agents.
We argue that such cluster formation can also emerge from dyadic interactions if these interactions are determined by homophily between agents. Without knowledge of triads in their neighborhoods, the agents modify their opinions so as to minimize a social tension defined via the weighted sum of opinion overlaps with friends and opinion discordance with enemies.
The model exhibits a transition from unbalanced to balanced society at a critical temperature which depends on the number of independent binary opinions, G, the mean degree, K, and the relative strength of positive interactions to that of negative ones, α. As α exceeds 1/2, a transition between the absorbing states with different fractions of balanced triads occurs.