The work presented in this dissertation is part of the SocLab project which proposes a formalisation of the Sociology of Organised Action (SOA). This formalisation is based on the use of a meta-model of the structure of social organisations, which enables an analytical study of an organisation's attributes as well as the simulation of the behaviours the organisation's actors might potentially adopt. This in turn allows an organisational diagnostic, which, though less rich than in a discursive expression of the SOA, gains in rigour and objecti cation. According to this approach, an organisation is seen as a system which, as a result of the actors' behaviour towards each other, procures for them a greater or lesser level of action capacity for reaching their own individual goals. Two regulation feedbacks run through this system : the rst, which can be de ned as functional, where actors adjust their behaviours towards one another so as to obtain a satisfactory level of action capacity ; and the second, which appertains to the endogenous evolution of the organisation, whereby the actors look to modify to their advantage the very structure of said organisation. Use of the meta-model leads to the representation of an organisation's structure as a particular mathematical construct composed of sets, functions and relations. By marshalling diverse mathematical tools, we have studied the influence of an organisation's structure on both of these regulation feedbacks. We can for example, regarding functional regulation, explain why actors behave as they do as well as detect real or potential coalitions ; also it is possible to detect in what ways an actor may attempt to modify the organisation's structure. In a more general sense, the mathematical study of the structure of an organisation will allow us to de ne a great number of indicators which will then be interpreted, with the help of the concepts of organisational sociology, as properties of the studied organisation.
