Within the scope of the General Grant Plan (PGO), a pilot project for a Game Theory model was developed for competitive analysis between port facilities that handle products of the same nature.

The mathematical model is inserted in the context of the proposal for a method of strategic data analysis to align port grants in relation to the planning of the national port sector, with the help of the Webportos / Sigportos platforms.

The method basically involves the following steps:

• Location of the new grant and survey of the respective operational parameters;
• Identification of the product groups to be considered;
• Delimitation of the study area;
• Obtaining demand curves from sector planning instruments;
• Mathematical modeling;
• Solution and analysis of results.

In the solution, through specialized algorithms, service volume forecasts are obtained for each port facility, when market equilibrium occurs, known as Nash equilibrium.

Specifically, the proposed model aims to answer the following questions:

• What are the flows, prices and contribution margins associated with each group of merchandise and terminal (before and after the grant)?
• Is the new grant feasible from an economic-financial point of view?
• Is the economic and financial balance of pre-existing contracts compromised with the new grant?
• What is the safe range of capacity that can be granted without breaking the economic-financial balance of the current grants?
• What is the gain of society with the implementation of the new enterprise?
• What is the government’s expectation of gain from the granting of the venture?
• Should a given grant be prioritized over other pending requests?

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