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In this paper we provide three new results axiomatizing the core of games incharacteristic function form (not necessarily having transferable utility)obeying an innocuous condition (that the set of individually rational pay-offvectors is bounded). One novelty of this exercise is that our domain is the{\em entire} class of such games: i.e., restrictions like "non-levelness" or"balancedness" are not required.

A look back at the core of games in characteristic function form: some new axiomatization results