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Ian Savage
Optimal Transit Fares, Frequencies and Subsidies

1. Savage, Ian & August Schupp (1997). Evaluating transit subsidies in Chicago. Journal of Public Transportation, 1(2):93-117.

This paper presents a model that calculates the social welfare benefits of using additional subsidy to reduce fare levels or improve service levels of public transit in Chicago. The model differentiates between the effects in peak and off-peak periods for both bus and rapid rail service.

The potential welfare benefits of transit improvements accrue to several different groups of people: (1) existing transit riders; (2) automobile users who decide to switch to public transit; (3) road users who benefit from reduced road congestion; and (4) people who undertake new trips. These benefits are compared with the welfare cost of the additional sales taxes that are used to fund transit subsidies in Chicago. Results of the analysis are that:

  • Bus fares should be reduced, especially during off-peak and weekend periods;
  • Rail fares are "acceptable" in that the marginal benefit of using subsidy to reduce fares is close to the excess burden of raising the subsidy;
  • Bus service levels are broadly acceptable, except for the peak period where they are too high; and
  • Rail service levels are too high at all times of the week, but especially in the peaks and on Sundays.

In general, it is more advantageous to use subsidy monies to reduce fares than improve service levels. Even if overall subsidy levels were not increased, society would be better off if service levels were reduced, and the money saved channeled into reductions in fares.

View the published paper [25 pages, 1,262 kb PDF]. Also view the earlier manuscript version of this paper [19 pages, 100 kb PDF].


2. Savage, Ian & Kenneth A. Small (forthcoming). A comment on “Subsidization of Urban Public Transport and the Mohring Effect.” Journal of Transport Economics and Policy, forthcoming.

In an 2008 paper in the Journal of Transport Economics and Policy, Peran van Reeven argues that the "Mohring effect" - whereby subsidies increase ridership, the ridership increase engenders higher service frequencies, and the higher frequencies reduce transit riders cost by reducing the average waiting times at stops - is not relevant to the determination of transit subsidies because a profit-maximizing monopolist would supply frequencies that are the same as, or greater than, those that are socially optimal. Our analysis finds that his results depend on the reduction or elimination of the effect of fares on demand, causing optimal prices to be indeterminate within broad ranges. Consequently, van Reeven's model is an unsatisfactory tool for discussing subsidies in general, and the optimal combination of fare and frequency in particular.

View the earlier manuscript version of this paper [6 pages, 78 kb PDF].

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