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International audienceThis paper discusses the formulation of crowding in public transport and its implications for pricing, seating capacity and optimal scheduling. An analytical model is used to describe the user equilibrium and the optimal equilibrium for different stylized conditions. For the one OD pair case with identical desired arrival time, we derive the optimal dynamic pricing and optimal share of seats. For the uniformly distributed desired arrival times case, we derive the optimal time table and the optimal pricing. Next we generalize the results to the case of a small network with several stations, stochastic choice and allocation of seats

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This paper explores reforms of pricing of private and public transport in Paris. Paris has used a policy of very low public transport prices and no road pricing. The Paris transport network is represented as a stylized concentric city with the choice between car, rapid rail, metro and busses as well as two income classes and different transport motives. The model is used to test what are the efficiency gains of introducing road pricing and of increasing public transit prices in the peak. Are both reforms reenforcing each other or are they largely substitutes? We find that a zonal pricing scheme for the center of Paris combined with higher public transport fares in the peak perform best. The benefits of an overall capacity extension of public transport supply are much lower than the benefits of pricing reforms and could very well not pass the cost benefit test.