On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations

This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases.

Group size and decision rules in legislative bargaining

We conduct experiments to investigate the effects of different majority requirements on bargaining outcomes in small and large groups. In particular, we use a Baron-Ferejohn protocol and investigate the effects of decision rules on delay (number of bargaining rounds needed to reach agreement) and measures of "fairness" (inclusiveness of coalitions, equality of the distribution within a coalition). We find that larger groups and unanimity rule are associated with significantly larger decision making costs in the sense that first round proposals more often fail, leading to more costly delay. The higher rate of failure under unanimity rule and in large groups is a combination of three facts: (1) in these conditions, a larger number of individuals must agree, (2) an important fraction of individuals reject offers below the equal share, and (3) proposers demand more (relative to the equal share) in large groups.

Duplicidades, concurrencias e ineficiencias en el entramado institucional vasco

[ES]El trabajo parte de una clarificación del concepto de duplicidad funcional administrativa distinguiéndolo de las concurrencias y las ineficiencias, y plantea un enfoque selectivo a la hora de afrontarlas. Se analizan los ámbitos críticos para la aparición de duplicidades e ineficiencias y sus posibles causas, para, posteriormente, examinar los instrumentos jurídicos de que disponemos para evitarlas o encauzarlas valorando su efectividad en las políticas de ingreso y de gasto, y finalmente realizar propuestas. El trabajo analiza, asimismo, recientes iniciativas legislativas (ley municipal de Euskadi y ley de administración pública vasca) que prevén cambios significativos en la institucionalización interna y en las relaciones entre Administraciones Públicas, vascas valorando sus novedades e insuficiencias como instrumento para superar las duplicidades.