The Conditions for Dominance Between Alternatives which are Independent Multiplicative Random Variables

Abstract

The conditions for dominance between alternatives that are independent multiplicative random variables have been worked out. For any two alternatives 1 and 2, 1 dominantes 2 if H ( Y 1 ) ≧ E ( Y 2 ), where Y is the yield, H ( Y 1 ) is the harmonic mean 1/ E (1/ Y 1 ), and E ( Y 2 ) is the expectation. This dominance is strengthened when the contribution of other alternatives is increased.