Equally Distributed Correspondences
Sergiu Hart and Elon Kohlberg
Abstract
The distribution Dφ
of a correspondence φ is defined,
and its connection with the set DLφ
of distributions of its integrable
selections is explored. The main result is that if
φ1 and
φ2 are equally distributed, i.e., if
Dφ1 =
Dφ2 ,
then
DLφ1 and
DLφ2
have the same closure in the weak convergence topology.
- Journal of Mathematical Economics 1 (1974), 2, 167-174