Tournaments, transitivity and pairwise comparison matrices

Journal of the Operational Research Society

Volumn 49, Issue 6, 1998, Pages 616-624

  Gass, S I ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Decision analysis; Graphs; Intransitivities; Pairwise comparisons; Tournaments

Indexed keywords

DECISION THEORY; GRAPH THEORY; LINEAR PROGRAMMING; MATRIX ALGEBRA;

ANALYTIC HIERARCHY PROCESS (AHP); INTRANSITIVITIES; PAIRWISE COMPARISONS; TOURNAMENTS;

OPERATIONS RESEARCH;

EID: 0032097674     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/palgrave.jors.2600572     Document Type: Article

References (13)

1. Luce RD and Raiffa H (1957). Games and Decisions. Wiley: New York.
2. Saaty TL (1980). The Analytic Hierarchy Process. McGraw- Hill: New York.
3. Saaty T (1996). The Analytic Network Process. RWS Publications: Pittsburgh.
4. Kendall MG and Smith BB (1940). On the method of paired comparisons. Biometrika 31: 324-345.
5. Harary F and Moser L (1996). The theory of round robin tournaments. Math Monthly 73: 231-246.
6. Harary F (1971). Graph Theory. Addison-Wesley Publishing Company: Reading.
7. David HA (1988). The Method of Paired Comparisons (2nd edn). Charles Griffin & Company: London.
8. Mirkin BG (1979). Group Choice. Wiley: New York.
9. Finan JS and Hurley WJ (1996). Rank-order consistency in the analytic hierarchy process. Int Trans in Opl Res 3: 99-103.
10. Harary F, Norman RZ and Cartwright D (1965). Structural Models: An Introduction to the Theory of Directed Graphs. John Wiley & Sons: New York.
11. Fishbum PC (1991). Nontransitive preferences in decision theory. JRisk and Uncertainty 4: 113-134.
12. Alway GG (1962). The distribution of the number of circular triads in paired comparisons. Biometrika 49: 265-269.
13. Moon JW (1968). Topics on Tournaments. Holt, Rinehart and Winston: New York.