On an approach to the modelling of problems connected with conflicting economic interests

The aim of the present paper is to show a possible way to use the recent results obtained in linear and linear-fractional programming in applications connected with the coordination of conflicting economic interests. We consider the relationship between linear and linear-fractional programming problems with the same feasible set and show how it is possible to reorientate objective functions such that all objective functions considered lead to the same optimal solution. We show also that in certain cases the dual estimates of linear and linear-fractional programming are closely connected. The economic interpretation of the results obtained is outlined and a numerical example is presented.