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The importance of these algorithms in the modern world is common knowledge, of course.
We then model the interaction between the suppliers as an incomplete information (Bayesian) game: the structure of the game is common knowledge of all the suppliers, but each supplier knows only his/her own utility function.
As there is common knowledge of rationality, however, A knows that B will stick to the convention only if he or she expects A to do likewise.
According to her theory, "an understanding of joint commitment and a readiness to be jointly committed are necessary if one is to accrue political obligations, as is common knowledge of these in the population in question.
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If the model includes explicit information about the players' belief revision policy, then there can be common knowledge of substantive rationality (in Stalnaker's sense) yet the players' choices do not conform to the backward induction profile.
A biased estimate of exposures comparing cases and controls could be expected if there was common knowledge of the effect of a potential risk factor for the disease under investigation.
Then, since the distributions are common knowledge, (3.i) is common knowledge, so common knowledge of Bayesian rationality is satisfied by Proposition 3.4.
It is common knowledge that members of the House and Senate are supposed to subscribe to the code of ethics of the legislative body they belong to.
It is common knowledge that verification of subcellular localization is one way to disclose the potential roles of some proteins.
It is common knowledge that some of the most influential people don't register on the formal org chart.
Since (3.i) is common knowledge, all statements of the form 'For i, j, …, k ∈ N, i knows that j knows that … is Bayesian rational' follow by induction.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com