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Entropy 2015, 17(11), 7584-7595; doi:10.3390/e17117584

Choice Overload and Height Ranking of Menus in Partially-Ordered Sets

Department of Economics and Statistics and School of Economics and Management, University of Siena, Piazza San Francesco 7, 53100 Siena, Italy
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Academic Editor: Ali E. Abbas
Received: 23 July 2015 / Revised: 21 October 2015 / Accepted: 28 October 2015 / Published: 30 October 2015
(This article belongs to the Special Issue Entropy, Utility, and Logical Reasoning)
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Abstract

When agents face incomplete information and their knowledge about the objects of choice is vague and imprecise, they tend to consider fewer choices and to process a smaller portion of the available information regarding their choices. This phenomenon is well-known as choice overload and is strictly related to the existence of a considerable amount of option-pairs that are not easily comparable. Thus, we use a finite partially-ordered set (poset) to model the subset of easily-comparable pairs within a set of options/items. The height ranking, a new ranking rule for menus, namely subposets of a finite poset, is then introduced and characterized. The height ranking rule ranks subsets of options in terms of the size of the longest chain that they include and is therefore meant to assess menus of available options in terms of the maximum number of distinct and easily-comparable alternative options that they offer. View Full-Text
Keywords: choice overload; poset; maximum chain; height-based ranking choice overload; poset; maximum chain; height-based ranking
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Basili, M.; Vannucci, S. Choice Overload and Height Ranking of Menus in Partially-Ordered Sets. Entropy 2015, 17, 7584-7595.

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