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Where forming the grand coalition is not guaranteed, the following notation is applied: Definition 9. A (not necessarily superadditive) TU game G for a family F of coalitions is totally balanced if for every balanced collection of weights μ A, and for any A ∈ F, ∑ A ∈ F μ A · ν ( A ) ≤ max ψ ∈ Ψ ∑ A ∈ ψ ν ( A ). (13).
So, if a TU game is totally balanced, then the core is non-empty; therefore, it is a convenient solution concept on the class of totally balanced TU games.
"Paul was totally balanced.
A convex game is totally balanced, but the converse is not necessarily true.
A totally balanced TU game has a non-empty core set.
A superadditive TU game G for a family F of coalitions is totally balanced if for any A ∈ F, the inequality ∑ A ∈ F μ A · ν ( A ) ≤ ( K ) (10).
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"Because they're totally not fair and totally not balanced.
That confidence and clarity of knowing what you want and your priorities will totally connect and balance you.
"They give a totally different balance and look to the side and that has been very important in the last five games.
"Adding $400 million in capital gives us a chance to really have a totally fortressed balance sheet in case things get a lot worse than we think," Mr. Carey said.
News of a divorce throws the student totally off-balance.
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