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...

We show that the constrained egalitarian surplus-sharing rule, which divides the surplus so that the poorer players' resulting payoffs become equal but not larger than any remaining player's status quo payoff, is characterized by Pareto optimality, path independence, both well-known, and less...