The Neumann problem for an elliptic equation in a bounded domain Ω⊂RN and for external forces with degenerations or singularities relating to the m-dimensional variety M⊂δΩ are considered. The underlying ideas of proof of the existence of the considered problem solution are given for the...

In a sequential decision problem at any stage a decision maker, based on the history, takes a decision and receives a payoff which depends also on the realized state of nature. A strategy, f, is said to be as good as an alternative strategy g at a sequence of states, if in the long run f does,...

The dynamic heterogeneous economies studied are described by a collection of heterogenous indi- viduals, their individual states and an aggregate state, such that the individuals' actions are given by the policy obtained from an optimization program and the aggregate law of motion is given by...

This paper presents two different forms of research practices: Mode 1 and Mode 2. These forms of knowledge production are adumbrated not so much to demonstrate their radical differences, though there are some, but as a way of calling attention to the fact that, in both modes, static and dynamic...