We constructed an ACT-R model in order to show the developmental transitions in reasoning about false beliefs of others. These stand for a child’s reasoning from his/her own point of view (zero-order) to taking into consideration an other agent’s beliefs (first-order) and later to taking into consideration an other agent’s beliefs about other agents’ beliefs (second-order). You can find the model code here.
One paradigm that we currently use to investigate higher-order social cognition is the Marble Drop game. You can read about it here.
Evolutionary models of cooperation generally assume that the population is homogeneous. This applet shows how heterogeneity among individuals can affect cooperative behaviour in a public goods game.
Agent-based simulations show that the use of higher-order theory of mind can be beneficial to agents. This applet shows an implementation of theory of mind agents playing Limited Bidding to demonstrate the effectiveness of higher-order theory of mind.