Egalitarian Solutions of Large Games:
II. The Asymptotic Approach
Sergiu Hart and Andreu Mas-Colell
This is the second of two papers
devoted to the study of egalitarian
non-transferable utility (NTU)
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.
Mathematics of Operations Research 20 (1995), 4, 1003-1022