Invariance and Randomness in the Nash Program for Coalitional Games

Abstract

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 in the Nash program.Nash program; implementation; scale invariance; ordinal invariance; randomness