Court has decided that it will exclude popular proposals containing “ such a plurality of
heterogeneous demands that there was a lack of a rational, unitary matrix that would bring it
under the logic of Article 75 of the Constitution” (Butler and Ranney 1994: 63-64).
This section will first make the argument that the number of underlying dimensions
makes very little difference for the argument: referendum selected results are extremely well
approximated by a median voter argument.
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The second issue that we will address is that the
preferences of this median voter may be significantly different from the policy selected by
existing veto players.
a. “Median voter” preferences in referendums. In Chapter 2 we demonstrated that the
winset of the status quo when all people are voting is included in a circle (Y, d+2r), where Y is
the center of the yolk of the whole population of voters, d is the distance between Y and SQ, and
r the radius of the yolk of the whole population. An argument that I did not present in Chapter 2,
but can be found in Ferejohn et. al. (1984), is that the winset of the status quo contains a second
circle (Y, d-2r). As a result, the boundaries of the winset of the status quo are located between
two circles; both of them with center Y and one of them with radius (d+2r), and the other with
radius (d-2r)
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.
We have also said that when the number of voters increases the radius of the yolk (r)
decreases on the average (Chapter 2). Consequently, for the millions of people who are the
potential participants in a referendum in most countries or states r is (most of the time)
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Throughout this chapter I do not discuss referenda that require qualified majorities. There are few cases that the
law imposes a restriction to that effect (like a certain percentage of electors or voters (in Denmark up to 1953 45%
of electors, in the Weimar Republic 50% of electors, in New Zealand form 1908-1914 60% of voters), or a
congruence between majority of voters and majority of states (Switzerland, Australia)). In 1911 in New Zealand a
54% yes for prohibition had no effect, because the requirement was 60% of votes (Butler and Ranney (1978: 17).
All the arguments in the text hold for qualified majorities also as demonstrated in Chapter 2.
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Obviously, the small circle exists only if d>2r, that is if the status quo is in distance from the center of the yolk
greater than the diameter of the yolk.