In order to compare the agents with other behavioural possibilities, we explore the parameter space by changing the parameter β of the agents. Modifying the value of β is equivalent to a global rescaling of the parameters of the agent transforming hi ← β · hi and Jij ← β · Jij, thus exploring the parameter space along one specific direction. That is, changing β is just a way of testing one dimension in the parameter space of possible models. First, we assess the presence of criticality in the neural controller of the agent. Specifically, we look for the presence of a continuous phase transition in which an order parameter of the system (the entropy) presents a sharp transition displaying a divergence of its derivative (the heat capacity). Second, we analyze not only the behaviour of the neural controller but the agent as a whole, looking for behavioural transitions of the agents and divergences of the susceptibility of the agent’s behaviour to parametrical changes.