The consensus model of Deffuant et al is simplified by allowing for many discrete instead of infinitely many continuous opinions, on a directed Barabási-Albert network. A simple scaling law is observed. We then introduce noise and also use a more realistic network and compare the results....

We here present a fixed agents version of an original model of the emergence of hierarchies among social agents first introduced by Bonabeau et al. Having interactions occurring on a social network rather than among “walkers” does not drastically alter the dynamics. But it makes social...

Ising spins put onto a Barabási–Albert scale-free network show an effective phase transition from ferromagnetism to paramagnetism upon heating, with an effective critical temperature increasing as the logarithm of the system size. Starting with all spins up and upon equilibration pinning the...

The 1995 model of Bonabeau et al. is generalized by giving each individual a different ability to win or lose a fight. We also introduce different groups such that the losers of fights between different groups are eliminated. The overall phase diagram for the first-order transition between...

We review the possibilities and difficulties for statistical physicists if they apply their methods to biology, economics, or sociology. WARNING: I report opinions, not simulations.