We provide sufficient and necessary conditions for the generic finiteness of the number of distributions on outcomes, induced by the completely mixed Nash equilibria associated to a bimatrix outcome game form. These equivalent conditions are stated in terms of the ranks of two matrices...

We show the generic finiteness of the number of probability distributions on outcomes induced by Nash equilibria for two-person game forms such that either (i) one of the players has no more than two strategies or (ii) both of the players have three strategies, and (iii) for outcome game forms...

The lower orthant dominance relation is frequently used for multidimensional social welfare comparisons. Recently it has been shown that bivariate dominance can be characterized in terms of elementary mass transfer operations. We provide an algorithm which explicitly decomposes the mass...