The paper considers multi-criteria dynamic decision process. We focus on the efficient realizations of the dynamic process which are characterized by non-dominated values of the multi-period criteria function. The aim of the paper is to use the compromise hypersphere method to rank the efficient realizations. The presented method allows us to take into account the risk aversion of the decision maker. Moreover, we apply the presented theory in the market model taken from microeconomic theory.

The paper presents two approaches to the sensitivity analysis in multi-objective linear programming (MOLP). The first one is the tolerance approach and the other one is the standard sensitivity analysis. We consider the perturbation of the objective function coefficients. In the tolerance method we simultaneously change all of the objective function coefficients. In the standard sensitivity analysis we change one objective function coefficient without changing the others. In the numerical example we compare the results obtained by using these two different approaches.

This article describes a method of creating rankings in sport (medal tables). First, the countries are pairwise compared by area of the feasible points for which they are better. These feasible points correspond to gold, silver and bronze medals. After pairwise comparison we use the method of league table to rank the countries.

In this paper a reduced multiplicative tolerance - a measure of sensitivity analysis in multi-objective linear programming (MOLP) is presented. By using this new measure a method for ranking the set of efficient extreme solutions is proposed. The idea is to rank these solutions by values of the reduced tolerance. This approach can be applied to many MOLP problems, where sensitivity analysis is important for a decision maker. In the paper, applications of the presented methodology are shown in the market model and the transportation problem.