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so we have mth level mutual knowledge for every n ≥ 1.
Hence, one can read ω ∈ Ki A) as 'i knows A at (possible world) ω', ω ∈ KmN A) as 'A is mth level mutual knowledge for the agents of N at ω', and so on.
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"Hi!" I smiled for the pause that followed, our mutual knowledge of each other pooling like water into its shallow basin.
But reasoned debate presupposes mutual knowledge of sincerity.
The other statements which characterize third order mutual knowledge of the game and second order mutual knowledge of rationality are similarly derived.
How does the prediction for T M change if we apply forward-induction reasoning (requiring only two layers of mutual knowledge of rationality) without iteration?
This raises certain questions: (1) What precisely are the mutual or common knowledge assumptions that are required to justify the backwards induction argument for a particular sequential game? (2) As a sequential game increases in complexity, would we expect the mutual knowledge that is required for backwards induction to start to fail?
This served as an excellent opportunity for mutual knowledge sharing in the context of international collaboration.
Without the requisite mutual knowledge, Hume maintained, mutually beneficial social conventions would disappear.
Locally relevant social, institutional, environmental and techno-economic factors were explored through mutual knowledge exchange with smallholders and subsequently applied for appropriate RET selection.
For why should the number of levels of mutual knowledge the agents have depend upon the length of the game?
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com