  Many analyses of resource-allocation problems employ simplistic models of the
population. Using the example of a resource-allocation problem of Marecek et
al. [arXiv:1406.7639], we introduce rather a general behavioural model, where
the evolution of a heterogeneous population of agents is governed by a Markov
chain. Still, we are able to show that the distribution of agents across
resources converges in distribution, for suitable means of information
provision, under certain assumptions. The model and proof techniques may have
wider applicability.
