it cannot be upset, for there
is no region where at least
five of the pre-
ferred-to sets overlap.
We can now develop our six models. There are several variables whose
values collectively de
fine each system. Phrased as questions, these vari-
ables are as follows.
1. Does the system have one institutional veto point (as in uni-
cameralism), two institutional veto points (as in bicameralism),
or three institutional veto points (as in a presidential system
with a bicameral legislature)?
2. Within each institutional veto point, is there one party, two par-
ties, or three parties?
3. Does the governing party or coalition have monopoly agenda
authority (i.e., it alone can present motions on the
floor) or can
the opposition party or parties propose a motion on the
floor?
4. Will a governing party or a coalition send a proposal to the
floor
only if it is sure to be approved on a
floor vote or will such a pro-
posal be made even if it could be defeated on a
floor vote?
5. Do any parties in the system exhibit perfect party discipline (i.e.,
each party member always votes for some of
ficial party position
on a
floor vote) or are party members free to vote for or against
any of
ficial position their party adopts?
6. Do the members of any opposition party automatically vote
against a proposal by some governing party or coalition or do the
members of the opposition consider voting for such a proposal?
Our six models represent just some of the many possible combinations.
Nonetheless, these models demonstrate that the size of a system’s set of
equilibrium policies, and thus the extent of its bureaucratic autonomy,
are very sensitive to the details of these procedures and practices.
A Two-Party Unicameral Parliament with
Perfect Majority Party Discipline
Our
first model involves a unicameral parliament in which the majority
party has perfect party discipline. In particular, we assume that the ma-
jority party adopts its most preferred policy via majority rule within the
party and once this party position is adopted all party members will sup-
port it in a vote against SQ. We further assume that the majority party
has monopoly control over the legislative agenda (i.e., the minority party
Veto Points in Democratic Systems
81
Politics, Policy, and Organizations
cannot propose its own motion). Next, we assume that minority party
members automatically vote against the majority party motion; the ma-
jority party cannot count on help from minority party members to pass
its bills. Finally, we assume that the majority party will propose a motion
to the
floor only if that motion will defeat the status quo policy.
To illustrate, assume there are nine members of parliament who are
partitioned into the Labor and Conservative parties. As indicated in
figure 2A, we assume that the Conservative Party has five members, C
1
through C
5
, and that the Labor Party has four members, L
1
through L
4
.
As the majority, the Conservative Party’s most-preferred policy position
lies at its party median at C
3
. Because the Conservative Party has a ma-
jority and because
of its party discipline, any SQ will be replaced by the
of
ficial party policy at C
3
. Because this policy at C
3
cannot be upset, it is
the Majority Party Unicameral Core.
If an election is held and Conservative Party member C
1
is replaced
with Labor Party member L
5
(and everyone else remains the same), then
the Labor Party has the majority. The ideal
point of its median member,
L
3
, would then become its most-preferred policy position, which would
thus become the Core (see
fig. 2B).
If the majority party has an odd number of members, as in
figures 2A
and 2B, then the Majority Party Unicameral Core will be the single pol-
icy at the ideal point of the median party member. If the majority party
has an even number of members, then the size of the Core depends on
how far apart are the ideal points of the party’s median members. For ex-
ample, if the two median members of a six-member Conservative Party
have identical ideal points, as in
figure 2C, then the Core will include
just their common ideal point. If their ideal points are far apart (e.g.,
when the party is divided into two distinct factions), the Core would be
rather large, spanning the set of policies between the median members’
ideal points. In
figure 2D, for example, the Conservative Party has two
distinct three-member factions; hence, the Core spans the region be-
tween the two median party members, C
3
and C
4
.
A Two-Party Unicameral Parliament without Perfect Majority
Party Discipline
Assume now that the majority party’s discipline is not perfect: any mem-
ber may vote against any proposal of his or her own party if the member
prefers the status quo. Assume that minority party members continue to
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