Endogenous distributions in multi-agents models: the example of endogenization of ends and time constants

Multi-agents modelers recurrently face the problem of the choice of their parameters' values while most of them are exogenous. In this paper we address the issue of endogenization of these parameters when it makes sense in a social learning perspective within the formalism of metamimetic games. We first show how its is possible to endogeneize the agents' ends distribution with a spatial prisoner's dilemma as case study. Then we apply the method to endogenization of time constants in the model, each agent having its own subjective perception of time. In this perspective, the values of endogenous parameters are the outcome of a dynamical process characterized by agent's cognitive capacities and environmental constraints.