Mathematical model of economic information

This article shows that economic information can be formally described using an information field, which is a topological space with an introduced system of subsets that is closed with respect to the union operation. This system of subsets consists of information quanta – sets of information that can be used by a subject when making economic decisions. On this information field, a set function is introduced, defined on information quanta, which has the meaning of the economic value of the information quanta when the subject solves an economic problem. Many economic problems can be described by optimization problems, when a subject need to make a certain choice from a set of feasible solutions, and by game-theoretic models, when it is necessary to choose the best strategy in the face of opposition from other subjects. For these models, it is shown how a function can be constructed to evaluate the economic usefulness of information quanta.