Discontinuous phase transitions in the q-voter model with generalized anticonformity on random graphs

Abstract We study the binary q -voter model with generalized anticonformity on random Erd?s–Rényi graphs. In such a model, two types of social responses, conformity and anticonformity, occur complementary probabilities size source influence $$q_c$$ q c in case is independent from $$q_a$$ a anticonformity. For $$q_c=q_a=q$$ = reduces to original Previously, was studied only complete graph, which corresponds mean-field approach. It shown that it can display discontinuous phase transitions for $$q_c \ge q_a + \Delta q$$ ? + ? , where $$\Delta q=4$$ 4 $$q_a \le 3$$ ? 3 q=3$$ $$q_a>3$$ > . this paper, we pose question if survive graphs an average node degree $$\langle k\rangle 150$$ ? k ? 150 observed empirically networks. Using pair approximation, as well Monte Carlo simulations, show indeed survive, even relatively small values k\rangle$$ Moreover, < q_c - 1$$ < - 1 approximation results overlap ones. On other hand, gives qualitatively wrong indicating neither simulations nor within Finally, report intriguing result showing difference between spinodals obtained approach follows power law respect long indicates correctly type transition.