the main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. in this paper, the notion of  dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is...

We consider dynamic stochastic economies with heterogeneous agents and introduce the concept of uniformly self-justified equilibria (USJE)—temporary for which expectations satisfy following rationality requirements: i) individuals' forecasting functions next period's endogenous variables are assumed to lie in a compact, finite-dimensional set functions, ii) forecasts constitute best uniform app...