Choice Functions Generated by Mallows and Plackett–Luce Relations
Vidal Kamdem Tagne (),
Siméon Fotso (),
Louis Aimé Fono and
Eyke Hüllermeier ()
Additional contact information
Vidal Kamdem Tagne: Laboratoire de Mathématiques, Université de Douala, B. P. 24157 Douala, Cameroun
Siméon Fotso: ENS Yaoundé - Université de Yaoundé I, B. P. 47 Yaoundé, Cameroun
Louis Aimé Fono: Université de Douala, B. P. 24157 Douala, Cameroun
Eyke Hüllermeier: Paderborn University, Germany
New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 02, 191-213
Abstract:
The rationality and consistency of preference-based choice functions is often studied for (fuzzy) preference relations having specific properties, such as strong completeness, transitivity, or certain properties on triplets. In this paper, we turn our attention to another type of preference relation, namely relations that are induced as pairwise marginal of an underlying probability distribution on complete rankings (permutations) of all given alternatives. Such relations are necessarily reciprocal and, depending on the underlying distribution, obey additional structural properties. More specifically, we study relations induced by two important probability distributions, the Mallows and the Plackett–Luce distribution, which are well-known in the literature on statistics of rank data. Assuming preference relations of this kind, we study seven different choice functions and their four rationality and consistency properties.
Keywords: Preference-based choice function; reciprocal relation; Mallows distribution; Plackett–Luce distribution; rationality; consistency (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:
Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S179300571950011X
Access to full text is restricted to subscribers
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:15:y:2019:i:02:n:s179300571950011x
Ordering information: This journal article can be ordered from
DOI: 10.1142/S179300571950011X
Access Statistics for this article
New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang
More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().