This paper is devoted to the characterizations of the boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems in reflexive Banach spaces, when both themapping and the constraint set are perturbed by different parameters. By using the properties of recession cones, several equivalent characterizations are given for the set-valued vector equilibrium problems to ha...

We formalize the idea that uncertainty is generated by news about future developments in economic conditions which are not perfectly predictable by the agents. With a simple model of limited information we show that uncertainty shocks can be obtained as the square of news shocks. We develop a two-step econometric procedure to estimate the effects of news and we find highly nonlinear effects. La...

In this article a local characterization theorem is given for closed sets in a linear topological space that have recession cones with nonempty interior. This theorem is then used to characterize the class of upper semicontinuous increasing functions defined on closed E% -recessional subsets of Ed.

Implementation and collapse of exchange rate pegging schemes are recurrent events. A currency crisis is often followed by an economic downturn while pegging often begets a boom. In this paper I study why a benevolent central bank should pursue a monetary policy that leads to those recurrent currency crises and subsequent periods of pegging. I show that the optimal policy induces a competitive e...

A subset B of a closed convex set A is recession-compatible with respect to A if A can be expressed as the Minkowski sum of B and the recession cone of A. We show that if A contains no line, then there exists a recession-compatible subset of A that is minimum with respect to set inclusion. The proof only uses basic facts of convex analysis and does not depend on Zorn’s Lemma. An application of ...

Acquired esotropia with high myopia may be associated with superotemporal eyeball prolapse from the muscle cone and the subsequent shift of extraocular muscles limits the success of the traditional recession-resection surgery. In this study, we report two patients diagnosed with myopic strabismus fixus with esodeviation >90 prism diopter. Marked axial elongation of globes was present in both th...

An element A of the n× n copositive cone C is called irreducible with respect to the nonnegative cone N if it cannot be written as a nontrivial sum A = C + N of a copositive matrix C and an elementwise nonnegative matrix N . This property was studied by Baumert [2] who gave a characterisation of irreducible matrices. We demonstrate here that Baumert’s characterisation is incorrect and give a co...

The hypermetric cone HYPn+1 is the parameter space of basic Delaunay polytopes in n-dimensional lattice. The cone HYPn+1 is polyhedral; one way of seeing this is that modulo image by the covariance map HYPn+1 is the union of a finite set of L-domains, i.e., of parameter space of full Delaunay tessellations. In this paper, we study this partition of the hypermetric cone into Ldomains. In particu...

where K is a n-dimensional convex set that contains the origin, parameters t > 0 and p > 0, and · is any norm. We also develop connections between these densities and geometric properties of K such as diameter, width of the recession cone, and others. Since ft is log-concave only if p≥ 1, this framework also covers nonlog-concave densities. Moreover, we establish a new set inclusion characteriz...

We are concerned with solving aane variational inequalities deened by a linear map A and a polyhedral set C. Most of the existing pivotal methods for such inequalities or mixed linear complementarity problems depend on the existence of extreme points in C or a certain non{singularity property of A with respect to the lineality of C. In this paper, we prove that if A is copositive{plus with resp...