Electoral Rules and Direct Democracy

In a direct democracy, citizens vote directly over final outcomes and the electoral rule is proportional representation.

A utility function is used to represent instrumental rationality.

In a direct democracy, citizens vote indirectly over final outcomes.

Rationality requires incomplete and transitive preferences to obtain an ordering of alternatives.

Individual preferences can be single-peaked or infinite-peaked.

A utility function is used to represent individual preferences in a direct democracy.

In a direct democracy, citizens vote over a set of candidates.

Rationality requires sincere voting and an open agenda.

Individual preferences can be represented using a utility function in a multi-peaked preference.

Direct democracy is an electoral system where citizens vote indirectly over final outcomes and representatives make the final decisions.