Stochastic multicriteria acceptability analysis (SMAA) is a multicriteria d
ecision support method for multiple decision makers in discrete problems. I
n SMAA. the decision makers need not express their preferences explicitly o
r implicitly. Instead. the method is based on exploring the weight space in
order to describe the valuations that would make each alternative the pref
erred one, inaccurate or uncertain criteria values are represented by proba
bility distributions from which the method computes confidence factors desc
ribing the reliability of the analysis. In this paper we introduce the SMAA
-2 method, which extends the original SMAA by considering all ranks in the
analysis. In situations where the "elitistic" SMAA may assess large accepta
bility only for extreme alternatives without sufficient majority support, t
he more holistic SMAA-2 analysis can be used to identify good compromise ca
ndidates. The results are presented graphically. We consider also situation
s where partial preference information is available. We demonstrate the new
method using a real-life decision problem.