applying two definitions of the union of if-events, p. grzegorzewski gave two generalizations of the inclusion-exclusion principle for if-events.in this paper we prove an inclusion-exclusion principle for if-states based on a method which can also be used to prove grzegorzewski's inclusion-exclusion principle for probabilities on if-events.finally, we give some applications of this principle by...

If Rawls’s A Theory of Justice has achieved fame among economists, this is due to his Difference Principle, which says that inequalities resources should be the benefit less fortunate, or more operationally, allocations ranked by maximin criterion. We extend Rawlsian in two ways: first, resorting general min-of-means formula decision theory, second, addressing case where accruing each individua...