Efficient points in a sum of sets of alternatives

Anas Mifrani

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arXiv · 2412.16331

Efficient points in a sum of sets of alternatives

Anas Mifrani

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Abstract

The concept of efficiency plays a prominent role in the formal solution of decision problems that involve incomparable alternatives. This paper develops necessary and sufficient conditions for the efficient points in a sum of sets of alternatives to be identical to the efficient points in one of the summands. Some of the conditions cover both finite and infinite sets; others are shown to hold only for finite sets. Examples are provided that illustrate these results.

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Anas Mifrani. 2024-12-20. Efficient points in a sum of sets of alternatives. https://arxiv.org/abs/2412.16331

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