Model for Choosing Rational Investment Strategies, with the Partner’s Resource Data Being Uncertain

A model is considered for searching rational strategies for players’ investments in information technologies (IT), with their being insufficiently informed. The financial resources of one of the investors are supposed to be a member of a fuzzy set. The model is designed to be used for creating a mathematical module of the decision-making support system when determining rational options for investment. The apparatus of the theory of multistage quality games with several terminal surfaces has enabled adopting a new approach to solving the problem in question. An important feature of the model that distinguishes it from other models is the assumption that Player 1 has no information about the strategies and financial resources of Player 2, which makes the problem under consideration more realistic. The operability of the model has been confirmed experimentally in the MathCad environment.