A short proof of the inclusion of the core in the Weber set

For a transferable utility game the convex hull of the Weber allocations contains the core as a subset. A proof of this result normally involves an induction hypothesis to the number of players. We will give here a short proof based on a well known result in convex analysis.     

Leitf?higkeitsmessungen

Ohne Zusammenfassung     

On extensions of the core and the anticore of transferable utility games

We consider several related set extensions of the core and the anticore of games with transferable utility. An efficient allocation is undominated if it cannot be improved, in a specific way, by sidepayments changing the allocation or the game. The set of all such allocations is called the undominated set, and we show that it consists of finitely many polytopes with a core-like structure. One of these polytopes is the $L_1$ -center, consisting of all efficient allocations that minimize the sum of the absolute values of the excesses. The excess Pareto optimal set contains the allocations that are Pareto optimal in the set obtained by ordering the sums of the absolute values of the excesses of coalitions and the absolute values of the excesses of their complements. The $L_1$ -center is contained in the excess Pareto optimal set, which in turn is contained in the undominated set. For three-person games all these sets coincide. These three sets also coincide with the core for balanced games and with the anticore for antibalanced games. We study properties of these sets and provide characterizations in terms of balanced collections of coalitions. We also propose a single-valued selection from the excess Pareto optimal set, the min-prenucleolus, which is defined as the prenucleolus of the minimum of a game and its dual.     

Stability of Fronts in Inhomogeneous Wave Equations

Acta Applicandae Mathematicae - This paper presents an introduction to the existence and stability of stationary fronts in wave equations with finite length spatial inhomogeneities. The main focus...     

Perturbations of embedded eigenvalues for the planar bilaplacian

Operators on unbounded domains may acquire eigenvalues that are embedded in the essential spectrum. Determining the fate of these embedded eigenvalues under small perturbations of the underlying operator is a challenging task, and the persistence properties of such eigenvalues are linked intimately to the multiplicity of the essential spectrum. In this paper, we consider the planar bilaplacian with potential and show that the set of potentials for which an embedded eigenvalue persists is locally an infinite-dimensional manifold with infinite codimension in an appropriate space of potentials.     

Multicomponent self-modelling curve resolution in high-performance liquid chromatography by iterative target transformation analysis

Iterative target transformation factor analysis can provide a method for resolving elution profiles consisting of any number of compounds. The results obtained for 3-component resolution are consistent with the results obtained with conventional methods of curve resolution. The same restrictions with regard to overlap and relative signal heights of the compounds seem to apply to the conventional method of curve resolution and the proposed method. The method is tested on data from high-performance liquid chromatography with a diode-array detector obtained for polynuclear aromatic hydrocarbons and for proteins.     

Suppression of thermally excited capillary waves by shear flow

We investigate the thermal fluctuations of the colloidal gas-liquid interface subjected to a shear flow parallel to the interface. Strikingly, we find that the shear strongly suppresses capillary waves, making the interface smoother. This phenomenon can be described by introducing an effective interfacial tension that increases with the shear rate. The increase of sigma(eff) is a direct consequence of the loss of interfacial entropy caused by the flow, which affects especially the slow fluctuations. This demonstrates that the interfacial tension of fluids results from an intrinsic as well as a fluctuation contribution.     

Resonant photoemission in DyNi2Mn x rare-earth intermetallides

The electronic structure of the DyNi₂Mn _x rare-earth (RE) intermetallides whose cubic structure is similar to the structure of RT₂ compounds is studied. Resonant photoemission and X-ray absorption methods are used in the vicinity of the 2p- and 3p-excitation thresholds of transition elements and the 3p-, 3d-, and 4d-thresholds of RE metals to find the Ni, Mn 3d-, and R 4f-partial densities of the states in the valent band. The use of resonant photoemission allows us to establish features of the interaction between the unfinished 4f-shells of ions of RE metals with ions of the transition 3d-elements in RNi₂Mn _x compounds. The contributions from atoms of various elements to the structure of the valent band are separated, and the basic regularities of band formation during the introduction of manganese atoms are found.