An egalitarian approach to the fair representation of voters specifies three main institutional requirements: proportional representation, legislative majority rule and a parliamentary system of government. This approach faces two challenges: the under-determination of the resulting democratic process and the idea of a trade-off between equal voter representation and government accountability. Linking conceptual with comparative analysis, the article argues that we can distinguish three ideal-typical varieties of the egalitarian vision of democracy, based on the stages at which majorities are formed. These varieties do not put different relative normative weight onto equality and accountability, but have different conceptions of both values and their reconciliation. The view that accountability is necessarily linked to clarity of responsibility', widespread in the comparative literature, is questioned - as is the idea of a general trade-off between representation and accountability. Depending on the vision of democracy, the two values need not be in conflict.

The article analyses the type of bicameralism we find in Australia as a distinct executive-legislative system – a hybrid between parliamentary and presidential government – which we call ‘semi- parliamentary government’. We argue that this hybrid presents an important and underappreciated alternative to pure parliamentary government as well as presidential forms of the power-separation, and that it can achieve a certain balance between competing models or visions of democracy. We specify theoretically how the semi-parliamentary separation of powers contributes to the balancing of democratic visions and propose a conceptual framework for comparing democratic visions. We use this framework to locate the Australian Commonwealth, all Australian states and 22 advanced democratic nation-states on a two- dimensional empirical map of democratic patterns for the period from 1995 to 2015.