Adaptive Agents and Their Actions

In this chapter we present the fundamental mathematical and cognitive scheme in which we locate the Adaptive Agent. We introduce the context definition at different orders, the transformations from one context to another and the adaptation processes by which we can establish a symmetric relation among the rules inside the different contexts. This chapter is not completely abstract but has the aim to introduce the concept of the Adaptive Agent. When we have only one context, adaptation is impossible. The definition of every context is made by variables and rules and the rules are fixed inside the context. The adaptation principle has its source within the change of the rules. Consequently because we have only one context and every change of the context is forbidden, it is not possible to have any adaptation process.