The main purpose of this project is to account for a passenger-centric transit assignment improvement in the framework of a multi-objective optimisation problem in railway networks. Most of the transit assignment models computed to operate railway schedules and networks are operator-centric and aim at minimizing the general cost of the operation. The idea is to propose a trade-off between the system optimal solution of the passenger assignment model which provide with unrealistic passenger behavior, and the completely selfish game, where all passengers act only to minimize their own travel time. We propose to build on the research field explored by Binder et al. [1] and integrate priority rules to make the transit assignment model more realistic and fit the passenger behaviors, and propose a more social assignment model where passengers would collaborate instead of acting in a selfish way. The present report is a qualitative approach on priority rules testings.