On the stability of cooperation structures

Qin [J. Eco. Th., 1996] recently showed that in a game of endogenous formation of cooperation structure, if the underlying TU-game is superadditive, then the full cooperation structure is stable. In this note, we characterize the class of games that ensure the stability of the full cooperation structure, and show that this class is much larger than that of superadditive TU-games.

Stable coalition structures with fixed decision scheme

This paper studies the stability of a finite local public goods economy in horizontal differentiation, where a jurisdiction's choice of the public good is given by an exogenous decision scheme. In this paper, we characterize the class of decision schemes that ensure the existence of an equilibrium with free mobility (that we call Tiebout equilibrium) for monotone distribution of players. This class contains all the decision schemes whose choice lies between the Rawlsian decision scheme and the median voter with mid-distance of the two median voters when there are ties. We show that for non-monotone distribution, there is no decision scheme that can ensure the stability of coalitions. In the last part of the paper, we prove the non-emptiness of the core of this coalition formation game

Generalized backward doubly stochastic differential equations and SPDEs with nonlinear Neumann boundary conditions

In this paper, a new class of generalized backward doubly stochastic differential equations is investigated. This class involves an integral with respect to an adapted continuous increasing process. A probabilistic representation for viscosity solutions of semi-linear stochastic partial differential equations with a Neumann boundary condition is given.

Quasi-Potency and Cyclic subgroup separability

We study the profinite topology on discrete groups and in particular the property of cyclic subgroup separability. We investigate the class of quasi-potent, cyclic subgroup separable groups, producing many examples and showing how it behaves with respect to certain group constructions.

On moduli of smoothness of fractional order

In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.

On Boas-Type Problem

R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 & α & 1) are the same, but for Lip 1 are different. Later his results were generalized by many authors in the viewpoint of generalization of condition on the majorant of modulus of continuity. The aim of this paper is to obtain Boas-type theorems for generalized Lipschitz classes. To define generalized Lipschitz classes we use the concept of modulus of smoothness of fractional order.

Identificació de components inclusius en alguns centres escolars d'educació infantil i primària de la comarca d'Osona

The present essay –which is a pilot study conceived to continue the research in depth in the future- is based in a comparative analysis of educational practice between five different primary and pre-school teaching centres in Osona and the educational practice in inclusive educational centres. The essay introduces the objectives of the research and the theoretical and conceptual framework in which it is based (chapter 1) in relation with the main themes and expressions which are the purpose of the study: comprensivity, inclusive school and inclusive practice. The theoretical framework is linked to the principal regulations applied in our context. The study describes the instruments and procedure analysis describes the instruments and procedure analysis which have been designed and used for a qualitative methodological approach, together with the data obtained from the analysis of five teaching centres (chapter 2). The results from the research show that the practice done in the analised schools are not totally comparable to the ones in the inclusive environment. Notwithsanding, there are some similar points, although not totally coincident, like the fact that either the analysed schools or the ones with an inclusive approach show availability and interest in improving integration of all the pupils in the school, also the teachers work together in some aspects like, evaluation of pupils with special needs, objectives and contents and activities fort he specific kind of pupils with special needs parents and the majority of the analyzed schools, like those fallowing inclusive educational approaches, try the pupils with special needs to develop their acquisition within the ordinary class with adapted material. I think, these verifications, some of them close to inclusive educational practice, could constitute a starting point to analyse our model, in order to offer a common curriculum that could respect the different styles and rhythms of acquisition of all the pupils, so that promoting a more flexible and open schooling. In conclusion, the results of this analysis, although dues to its limits, they can not be generalized, they can help to find the necessary changes to bet for a qualitative education in a school for everyone.

Repeated games played in a network

Delayed perfect monitoring in an infinitely repeated discounted game is modelled by letting the players form a connected and undirected network. Players observe their immediate neighbors' behavior only, but communicate over time the repeated game's history truthfully throughout the network. The Folk Theorem extends to this setup, although for a range of discount factors strictly below 1, the set of sequential equilibria and the corresponding payoff set may be reduced. A general class of games is analyzed without imposing restrictions on the dimensionality of the payoff space. This and the bilateral communication structure allow for limited results under strategic communication only. As a by-product this model produces a network result; namely, the level of cooperation in this setup depends on the network's diameter, and not on its clustering coefficient as in other models.

The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-Algebras

We prove that the Cuntz semigroup is recovered functorially from the Elliott invariant for a large class of C¤-algebras. In particular, our results apply to the largest class of simple C¤-algebras for which K-theoretic classification can be hoped for. This work has three significant consequences. First, it provides new conceptual insight into Elliott's classification program, proving that the usual form of the Elliott conjecture is equivalent, among Z-stable algebras, to a conjecture which is in general substantially weaker and for which there are no known counterexamples. Second and third, it resolves, for the class of algebras above, two conjectures of Blackadar and Handelman concerning the basic structure of dimension functions on C¤-algebras. We also prove in passing that the Kuntz-Pedersen semigroup is recovered functorially from the Elliott invariant for all simple unital C¤-algebras of interest.

Educació en valors i formació docent. La diversitat com a valor

La reflexió sobre la meva pràctica educativa m’ha portat a endinsar-me en el món de la diversitat i de l’educació en valors, i preguntar-me sobre la seva ubicació en la formació docent. L’enfocament d’aquestes qüestions s’ha realitzat des de l’òptica de la persona. Des d’ella s’han buscat uns eixos vertebradors mínims que haurien d’estar presents tant en tot plantejament educatiu concret, com en la legislació en matèria educativa i en els plans de formació del professorat. Aquests eixos vertebradors s’han articulat en una tipologia de valors formada pel valor de la persona, des del qual sorgeixen el valor de l’educació, els valors de la democràcia i el valor de la utopia. El que he realitzat en aquesta recerca ha estat analitzar la legislació educativa i els plans d’estudi de formació de mestres de les universitats de Catalunya a partir de quatre grups d’indicadors que pretenen l’estudi del seu marc contextual, del vocabulari utilitzat –concretament els termes “ètica”, “moral” i “valor”-, del tractament de la diversitat –a partir del territori i la classe social, l’ètnia, el gènere i les necessitats educatives especials-, i de l’enfocament de l’educació en valors –segons la tipologia anteriorment apuntada-.

Payoff-dependent balancedness and cores (revised version)

We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff vectors satisfying this condition. The additional requirement of transfer rate equilibrium refines the core concept and allows the selection of specific core payoff vectors. Lastly, the class of parametrized cooperative games is introduced. This new setting and its associated equilibrium-core solution extend the usual cooperative game framework and core solution to situations depending on an exogenous environment. A non-emptiness result for the equilibrium-core is also provided in the context of a parametrized cooperative game. Our proofs borrow mathematical tools and geometric constructions from general equilibrium theory with non convexities. Applications to extant results taken from game theory and economic theory are given.

Sobre "clase y explotación" en la corriente principal de la economía

Recently a number of articles have appeared in the mainstream that deal with the economy in terms of class and exploitation. This paper sets out two of them in a simplified maner and explains why they may be of interest to left wing Latin American economists.

Cooperative production and efficiency

We characterize the sharing rule for which a contribution mechanism achieves efficiency in a cooperative production setting when agents are heterogeneous. The sharing rule bears no resemblance to those considered by the previous literature. We also show for a large class of sharing rules that if Nash equilibrium yields efficient allocations, the production function displays constant returns to scale, a case in which cooperation in production is useless.

Epireflections and supercompact cardinals

We prove that, under suitable assumptions on a category C, the existence of supercompact cardinals implies that every absolute epireflective class of objects of C is a small-orthogonality class. More precisely, if L is a localization functor on an accessible category C such that the unit morphism X→LX is an extremal epimorphism for all X, and the class of L-local objects is defined by an absolute formula with parameters, then the existence of a supercompact cardinal above the cardinalities of the parameters implies that L is a localization with respect to some set of morphisms.

A relative double commutant theorem for hereditary sub-C*-algebras

We prove a double commutant theorem for hereditary subalgebras of a large class of C*-algebras, partially resolving a problem posed by Pedersen[8]. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field now called von Neumann algebra theory. Voiculescu proved a C*-algebraic double commutant theorem for separable subalgebras of the Calkin algebra. We prove a similar result for hereditary subalgebras which holds for arbitrary corona C*-algebras. (It is not clear how generally Voiculescu's double commutant theorem holds.)