Let's say there are two petitions, each outlines the approach that government should take when making decisions and making policies, you can sign only one.
A. The first says that whatever the government does it should be based on integrity and should honour its undertakings regardless of the impact that might be felt by the majority of the population which could lead to negative outcomes for many.
B. The second says that the government should be guided simply by the consequences and should act in order to maximise the benefit for the majority of the population even if this means not acting with integrity and so some groups might suffer disproportionately.