最終更新日
：2024/08/06
Gibbard's theorem
name
A
theorem
stating
that,
for
any
deterministic
process
of
collective
decision,
at
least
one
of
the
following
three
properties
must
hold:
(i)
the
process
is
dictatorial,
i.e.
there
exists
a
distinguished
agent
who
can
impose
the
outcome;
(ii)
the
process
limits
the
possible
outcomes
to
two
options
only;
(iii)
the
process
encourages
agents
to
think
strategically:
once
an
agent
has
identified
their
preferences,
they
have
no
action
at
their
disposal
that
would
best
defend
their
opinions
in
any
situation.
意味（1）
A
theorem
stating
that,
for
any
deterministic
process
of
collective
decision,
at
least
one
of
the
following
three
properties
must
hold:
(i)
the
process
is
dictatorial,
i.e.
there
exists
a
distinguished
agent
who
can
impose
the
outcome;
(ii)
the
process
limits
the
possible
outcomes
to
two
options
only;
(iii)
the
process
encourages
agents
to
think
strategically:
once
an
agent
has
identified
their
preferences,
they
have
no
action
at
their
disposal
that
would
best
defend
their
opinions
in
any
situation.
復習用の問題
A theorem stating that, for any deterministic process of collective decision, at least one of the following three properties must hold: (i) the process is dictatorial, i.e. there exists a distinguished agent who can impose the outcome; (ii) the process limits the possible outcomes to two options only; (iii) the process encourages agents to think strategically: once an agent has identified their preferences, they have no action at their disposal that would best defend their opinions in any situation.
正解を見る
Gibbard's theorem
Gibbard's theorem is a fundamental result in social choice theory.
正解を見る
Gibbard's theorem is a fundamental result in social choice theory.
English Dictionary
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