5. Conclusions
The model presented in this paper is built on the hypothesis that competition occurs between nearby departures. This has large implications for the results. It affects the operators’ best strategies, and hence it affects prices, profit, ridership and social welfare. It is clear that if the hypothesis is true, then any model that does not take account of it will fail to describe the market properly.
Results provided by the simulation model proposed in this article indicate that a stable equilibrium point with two independent operators exists on a railway market with on-rail competition, provided that it is possible through legal means to stop one operator from buying the other’s access rights. Profits do not decrease towards zero in this point.
If it is not possible to hinder operators from buying and selling access rights then there are incentives for one operator to buy all access rights at a price that its competitor would accept, thus restoring monopoly.
Social welfare increases when competition successfully replaces profit-maximising monopoly. This result is less stable if one looks only at the domestic part of social welfare however, as profits that previously stayed in the country may be transferred abroad when operators are not government-owned.
Attempts by the regulator to recover high profits to state coffers by introducing high infrastructure charges lowers total welfare, as it pushes operators to a new equilibrium point in the frequency game, with fewer departures and higher fares.
The equilibrium tends to be asymmetrical in the sense that one operator offers a substantially larger number of departures than the other, while selling tickets at higher prices. Noteworthy is that this result appears even when operators’ preconditions are perfectly symmetric, that is when excluding the effects of reputation with customers, efficiency of sales channels, quality of service and economies of scale and scope.
Welfare maximum under price competition is symmetric, to the contrary. It is optimal when operators offer equally many departures. This constrained optimum may not be possible to reach through regulatory means however. Policies studied in this paper that are designed to produce equally many departures end up either failing through not providing sufficient incentives for the smaller operator to raise frequency, or damaging total welfare by lowering combined frequency or raising average fares.
If the frequency game results in Stackelberg equilibrium, this benefits both operators compared to the Nash equilibrium. Total welfare is lower in the Stackelberg equilibrium point however.