Non-dominance and potential optimality for partial preference relations

Vladislav V. Podinovski
Authors registered in the RePEc Author Service: Vladislav Vladimirovich Podinovski

European Journal of Operational Research, 2013, vol. 229, issue 2, 482-486

Abstract: In this paper we obtain new theoretical results relating the notions of potential optimality and non-dominance without an assumption that a value function exists. In particular, we investigate a decision problem involving the choice of single or multiple best objects. Our results show that the notions of potential optimality and non-dominance are equivalent in a special case of preferences of the decision maker expressed by partial quasi-orders.

Keywords: Binary preference relations; Non-dominated objects; Potentially optimal objects; Choosing l best objects; l-Non-dominated objects; Potentially l-optimal objects (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:229:y:2013:i:2:p:482-486

DOI: 10.1016/j.ejor.2013.02.045

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