Accession Number : AD0643112

Title :   THE PROBABILITY OF A GIVEN 1-CHOICE 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 1-choice 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 1-choice 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 1-choice structures with at most 6 points and the probability of each. Diagrams for 1-choice 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