The question of the size of political coalitions is readdressed from the point of view of an `Expected Utility Maximizer' (EUM) framer who has to choose a certain formation in a given political environment. Three subjective utility profiles or aspirational motives are identified for the framer: aspiration regarding political return, aspiration regarding political stability and aspiration regarding political greatness. These are matched against five objective polity parameters: polarization, dimensionality, dichotomy, discreteness and plurality. Taken together they form a complex functional relationship. A change in any of the function specified variables would affect the size of the formed coalition.