A new definition of continuous-time equilibrium controls is introduced. As opposed to the standard definition, which involves a derivative-type operation, parallels how discrete-time defined, and allows for unambiguous economic interpretation. The terms "strong equilibria" "weak are coined under definitions, respectively. When state process time-homogeneous Markov chain, careful asymptotic anal...

Weak convergence of a stochastic process defined on a function space is discussed. In doing so we explore various weak convergence results generically called functional central limit theorems or invariance principles. Emphasis is placed on how to apply those theorems to deal with statistics arising from nonstationary linear time series models. It turns out that, in most cases, the continuous ma...

In this paper, we introduce the notion of weakly e-continuous functions in topological spaces. Weak s-contlnulty and subweak continuity due to Rose [i] are independent of each other and are implied by weak continuity due to Levlne [2]. It is shown that weakly e-continuous surjections preserve connected spaces and that weakly e-contlnuous functions into regular spaces are continuous. Corollary i...

Non-statistical weak measurements yield weak values that are outside the range of eigenvalues and are not rare, suggesting that weak values are a property of every preand-post-selected ensemble. They also extend the applicability and valid regime of weak values.