
Accession Number : AD0643112
Title : THE PROBABILITY OF A GIVEN 1CHOICE STRUCTURE.
Descriptive Note : Revised ed.,
Corporate Author : UNIVERSITY OF THE WEST INDIES KINGSTON (JAMAICA)
Personal Author(s) : Harary,Frank ; Read,Ron
Report Date : 15 FEB 1966
Pagination or Media Count : 10
Abstract : A 1choice structure arises whenever each person in a group chooses exactly one other person according to some criterion. The purpose of the report is to study the situation in which these choices are made at random. Such a structure can be represented by a directed graph in which the points represent people and the directed lines their choices. The authors first describe the shape of such a 1choice structure, and define its symmetry number. With the help of these properties they are then able to develop and prove a formula which gives a probability of obtaining a given structure in the random choice situation. In order to supply data for these results, they include in the Appendix the diagrams of all 1choice structures with at most 6 points and the probability of each. Diagrams for 1choice structures with 7 points were computed but are not included in the paper. (Author)
Descriptors : (*PROBABILITY, *DECISION MAKING), SELECTION, GRAPHICS, JAMAICA
Subject Categories : Psychology
Distribution Statement : APPROVED FOR PUBLIC RELEASE