On the Influence of Extreme Parties in Electoral Competition with Policy-Motivated Candidates* We study and compare equilibrium platforms in models of one-dimensional electoral competition with two and four policy-motivated parties. We first analyse the plurality game, where the party that gets the most votes is elected and implements its proposed platform. Restrictions on the set of credible a...

In [1] D. Harrington and R. Whitley examined several questions of seminormality for composition operators. In that article they raise the question of finding a measure theoretic characterization of hyponormality for composition operators. In this article we establish criteria for hyponormality for weighted composition operators. By restricting attention to the case of weight function equal to 1...

Let ρ be a weight function, let X be a complex Banach space and let Bρ denote the space of analytic functions in the disc D such that R 1 0 ρ(1 − r)M1(f ′, r) dr < ∞, we prove that, under certain assumptions on the weight, the space of bounded operators L(Bρ,X) is isometrically isomorphic to the space Λρ(X) of X-valued analytic functions such that ‖F ′(z)‖ = O ρ(1−|z|) 1−|z| . Several applicati...

We consider three-sided coalition formation problems when each agent is concerned about his local status as measured by his relative rank position within the group of his own type and about his global status as measured by the weighted sum of the average rankings of the other types of groups. We show that a core stable coalition structure always exists, provided that the corresponding weights a...

A bstract The classical bicovering problem seeks to cover all pairs from a v-set by a family F of k-sets so that every pair occurs at least twice and the cardinality of F is minimaL A weight function is introduced for blocks in such a design, and its use in constructing bicoverings is illustrated. A covering is a collection of k-sets (blocks) chosen from elements of a v-set so that each pair fr...

Under mild conditions on the weight function K we characterize lacunary series in the so-called QK spaces.

The aim of this work is to generalize Johnson’s techniques in order to apply them to establish a bijective correspondence between S-derivations and continuous derivations on Ma(S, ω), where S is a locally compact foundation semigroup with identity e, and ω is a weight function on S, and apply it to find a necessary condition for amenability of weighted group algebras.

Let T be a positive linear operator defined for nonnegative functions on a rj-finite measure space {X,m,fi). Given 1 < p < oo and a nonnegative weight function w on X , it is shown that there exists a nonnegative weight function v , finite /¿-almost everywhere on X , such that (1) I \Tf)*wdfi< j fvd/i, for all/>0, J x J x tere exists posi ( h if and only if th tive /¿-almost everywhere on X...

Let G be a locally compact group, 1 < p < ∞ and let ω be a weight function on G. Recently, we introduced the Lebesgue weighted L−algebra L ω (G). Here, we establish necessary and sufficient conditions for L ω (G) to be φ−contractible, pseudo-contractible or contractible. Moreover we give some similar results about L(G,ω).

For the weight function Qd+1 i=1 |xi| 2κi on the unit sphere, sharp local estimates of the orthogonal projection operators are obtained and used to prove the convergence of the Cesàro (C, δ) means in the weighted L space for δ below the critical index. Similar results are also proved for corresponding weight functions on the unit ball and on the simplex.