This article tests the claim that government cooperation between mainstream parties and radical right parties can be explained by coalition theory. It does so by analysing three Swedish cases of coalition formation where the radical right Sweden Democrats (SD) have remained excluded despite holding a pivotal position in the parliament. It argues that, with the right analytical tools, this exclusion can be explained by coalition theory: cooperation with the SD has been unattractive in terms of policy, and unnecessary because the mainstream parties have been able to form viable minority governments. This argument requires three things: first, that we consider the two-dimensional nature of Swedish politics; second, that we shift the focus from majority government to viable government; and third, that we acknowledge strategic time horizons that extend well into the future. The findings contribute to our understanding of coalition formation and of how mainstream parties respond strategically to the radical right.