By introducing physical outcomes in coalitional games we note that coalitional games and social choice problems are equivalent (implying that so are the theory of implementation and the Nash program). This facilitates the understanding of the role of invariance and randomness in the Nash...

We characterize the prekernel of NTU games by means of consistency, converse consistency, and five axioms of the Nash type on bilateral problems. The intersection of the prekernel and the core is also characterized with the same axioms over the class of games where the core is nonempty.

The mechanisms in the Nash program for cooperative games are made compatible with the framework of the theory of implementation. This is done through a reinterpretation of the characteristic function that avoids feasibility problems, thereby allowing an analysis that focuses exclusively on the...