Before revision: We here study the Battle of the Sexes game on small networks, extending the response strategy analysis to asymmetric gamesand three players. We model the different steady states, that are obtained in numerical simulations from the various update strategies, as different response strategy equilibria.
After revision: We here study the Battle of the Sexes game , a textbook case of asymmetric games, on small networks. Due to the conflicting preferences of the players, analytical approaches are scarce and most often update strategies are employed in numerical simulations from the various update strategies, as different response strategy equilibria.