Axiomatic Theory and Simulation: A Philosophy of Science Perspective on Schelling's Segregation Model

The paper uses Schelling's famous segregation model and a number of extensions to show how a reconstruction of the theory behind these models along the lines of the 'non-statement view' on empirical science can contribute to a better understanding of these models and a more straightforward implementation. A short introduction to the procedure of reconstructing a theory is given, using an extremely simple theory from mechanics. The same procedure is then applied to Schelling's segregation theory. A number of extensions to Schelling's model are analysed that relax the original idealisations, such as adding different tolerance levels between the two subpopulations, assuming inhomogeneous subpopulations and heterogeneous experiences of neighbourhoods, among others. Finally, it is argued that a 'non-statement view' reconstruction of a mental model or a verbally expressed theory are relevant for a useful specification for a simulation model.