Egalitarian solutions of large games. 2. The asymptotic approach

This is the second of two papers devoted to the study of egalitarian solutions for nontransferable utility games with a large number of players. This paper is concerned with the egalitarian solutions of finite games as the number of players increases. We show that these converge to the egalitarian solution of the limit game with a continuum of players as defined in our previous paper. The same convergence holds for the underlying potential functions. These asymptotic results are particularly significant since they provide the definitive justification for our definitions in the limit continuum case.