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 clarifies some misunderstandings (in regrad to invariance and randomness), sometimes found...

We introduce a game form that captures a noncooperative dimention of the consistency property of bankruptcy rules. Any consistent and monotonic rule is fully characterized by a bilateral principle and consistency. Like the consistency axiom, our game form, together with the bilateral principle,...