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- noun The state or condition of being
from Wiktionary, Creative Commons Attribution/Share-Alike License
For simple games without coalition structures, we then provide a characterization of the core that matches the one for the full information case, and use it to derive a polynomial-time algorithm to check core nonemptiness.
(I may even be uncountable, but in this case the nonemptiness of Xi as a consequence of the nonemptiness of the individual Xi's is equivalent to the axiom of choice.