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An axiomatization of the core of cooperative games without side payments. (English) Zbl 0581.90102
Let $$M$$ be a set of $$m$$ players, $$m\geq 3$$, and let $$\Gamma$$ be the set of all (finite) games (without side payments) that have a non-empty core. When $$M$$ is finite, the following four (independent) axioms fully characterize the core on $$\Gamma$$ : (i) non-emptiness, (ii) individual rationality, (iii) the reduced game property, and (iv) the converse reduced game property. If $$M$$ is infinite, then the converse reduced game property is redundant.

##### MSC:
 91A12 Cooperative games
##### Keywords:
axiomatization; without side payments; core
Full Text:
##### References:
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