A framework for measures of non-transitivity in finite tournaments is
presented. Axiomatic characterizations for five well-known intransitiv
ity measures are derived. The characterizing conditions are obtained b
y formalizing and generalizing amongst other things principles of weig
hting or non-weighting of elementary preference reversals and ways of
diminishing the intransitivity. (C) 1997 Elsevier Science B.V.