Network development under a strict self-financing constraint

This paper offers a stylized model in which an agency is in charge of investing in road capacity and maintain it but cannot use the capital market so that the only sources of funds are the toll revenues. We call this the strict self-financing constraint in opposition to the traditional self financing constraint where implicitly 100% of the investment needs can be financed by loans. Two stylised problems are analysed: the one link problem and the problem of two parallel links with one link untolled. The numerical illustrations show the cost of the strict self-financing constraint as a function of the importance of the initial infrastructure stock, the rate of growth of demand, the price elasticity of demand and the flexibility in the pricing instruments.