Egalitarian Solutions of Large Games:
I. A Continuum of Players
Sergiu Hart and Andreu MasColell
Abstract
This is the first of two papers
devoted to the study of egalitarian
solutions for
nontransferable utility (NTU)
games with
a large number of players. This paper is concerned with the construction
of egalitarian solutions for the limit situation with a continuum of players.
We build on the concept of the Potential introduced in HartMasColell (1989)
and exploit partial differential equations techniques.
In particular, we associate to the egalitarian solutions a variational problem
which may be viewed as a generalization 
to the nontransferable utility context 
of the diagonal principle of AumannShapley (1974) in the
transferable utility setting.

Mathematics of Operations Research 20 (1995), 4, 9591002