Abstract
I define the largest consistent set, a solution concept which applies to situations in which coalitions freely form but cannot make binding contracts, act publicly, and are fully "farsighted" in that a coalition considers the possibility that, once it acts, another coalition might react, a third coalition might in turn react, and so on, without limit. I establish weak nonemptiness conditions and apply it to strategic and coalitional form games and majority rule voting. I argue that it improves on the von Neumann-Morgenstern stable set as it is usually defined but is consistent with a generalization of the stable set as in the theory of social situations. Journal of Economic Literature Classification Numbers: C70, C71.
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