Last Updated
：2025/12/05
Bertrand's paradox
Proper noun
Japanese Meaning
確率論の古典的解釈における問題で、無限に広がる可能性の中で無差別の原理を無批判に適用すると、確率の値が明確かつ定義されたものにならないことを示す例。
Sense（1）
Sense（2）
(economics)
A
hypothetical
phenomenon
where
if
the
number
of
firms
producing
a
product
goes
from
one
to
two
or
more
selling
identical
products
with
identical
manufacturing
costs,
the
price
would
be
expected
to
decrease
from
the
high
price
which
one
monopolistic
firm
would
charge
to
a
competitive
at-cost
price,
if
consumers
choose
which
product
to
buy
based
solely
on
price
and
the
firms
try
to
undercut
each
other.
Quizzes for review
(probability) A problem within the classical interpretation of probability theory, illustrating how the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite.
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See correct answer
Bertrand's paradox
In introductory probability, Bertrand's paradox often surprises students by revealing that the principle of indifference can yield different probabilities depending on how 'random' is defined.
See correct answer
In introductory probability, Bertrand's paradox often surprises students by revealing that the principle of indifference can yield different probabilities depending on how 'random' is defined.
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