Optimal Boundaries For Decisions

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In this paper the authors state and prove some new results on the optimal boundaries. These boundaries (called Pareto boundaries too) are of increasing importance in the applications to Decision Theory. In Decision theory, when a problem has no upper optima (feasible choices weakly greater than each other) it is necessary to look for the choices which are not strictly lower than any other choice: the so called optimal choices, introduced in the following definition.