Next Article in Journal
Single to Two Cluster State Transition of Primary Motor Cortex 4-posterior (MI-4p) Activities in Humans
Next Article in Special Issue
Stochastic Reorder Point-Lot Size (r,Q) Inventory Model under Maximum Entropy Principle
Previous Article in Journal
Minimum Dissipation Principle in Nonlinear Transport
Previous Article in Special Issue
Expected Utility and Entropy-Based Decision-Making Model for Large Consumers in the Smart Grid
Article Menu

Export Article

Open AccessArticle
Entropy 2015, 17(11), 7584-7595;

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
Author to whom correspondence should be addressed.
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)
Full-Text   |   PDF [206 KB, uploaded 4 November 2015]


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).

Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top