Efficient and stable collective choices under gregarious preferences

We consider collective choice problems where a set of agents have to choose an alternative from a finite set and agents may or may not become users of the chosen alternative. An allocation is a pair given by the chosen alternative and the set of its users. Agents have gregarious preferences over allocations: given an allocation, they prefer that the set of users becomes larger. We require that the final allocation be efficient and stable (no agent can be forced to be a user and no agent who wants to be a user can be excluded). We propose a two-stage sequential mechanism whose unique subgame perfect equilibrium outcome is an efficient and stable allocation which also satisfies a maximal participation property.

Leadership in collective action

We extend the model of collective action in which groups compete for a budged by endogenizing the group platform, namely the specific mixture of public/private good and the distribution of the private good to group members which can be uniform or performance-based. While the group-optimal platform contains a degree of publicness that increases in group size and divides the private benefits uniformly, a success-maximizing leader uses incentives and distorts the platform towards more private benefits - a distortion that increases with group size. In both settings we obtain the anti-Olson type result that win probability increases with group size.

Cluster algebras, quiver representations and triangulated categories

This is an introduction to some aspects of Fomin-Zelevinsky’s cluster algebras and their links with the representation theory of quivers and with Calabi-Yau triangulated categories. It is based on lectures given by the author at summer schools held in 2006 (Bavaria)and 2008 (Jerusalem). In addition to by now classical material, we present the outline of a proof of the periodicity conjecture for pairs of Dynkin diagrams (details will appear elsewhere) and recent results on the interpretation of mutations as derived equivalences.

The Electoral Determinants of Collective Remittances: The Mexican 3x1 Program for Migrants

The 3x1 Program for Migrants is a matching grant scheme that seeks to direct the money sent by migrant organizations abroad to the provision of public and social infrastructure, and to productive projects in migrants’ communities of origin. To do so, the municipal, state, and federal administrations match the amount sent by hometown associations by 3 to 1. This opens the door to the political manipulation of the program. We explore the impact of a particular facet of Mexican political life on the operation of the 3x1: its recent democratization and the increasing political competition at the municipal level. Relying on the literature on redistributive politics, we posit that an increasing number of effective parties in elections may have two different effects. On the one hand, the need to cater to more heterogeneous constituencies may increase the provision of public projects. On the other hand, since smaller coalitions are needed to win elections under tighter competition, fewer public and more private (clientelistic) projects could be awarded. Using a unique dataset on the 3x1 Program for Migrants for over 2,400 municipalities in the period 2002 through 2007, we find a lower provision of public goods in electorally competitive jurisdictions. Thus, we remain sceptical about the program success in promoting public goods in politically competitive locations with high migration levels.

A well-posedness theory in measures for some kinetic models of collective motion

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the behavior of large groups of animals, such as flocks of birds, swarms, or schools of fish. Our aim is to give a well-posedness theory for general models which possibly include a variety of effects: an interaction through a potential, such as a short-range repulsion and long-range attraction; a velocity-averaging effect where individuals try to adapt their own velocity to that of other individuals in their surroundings; and self-propulsion effects, which take into account effects on one individual that are independent of the others. We develop our theory in a space of measures, using mass transportation distances. As consequences of our theory we show also the convergence of particle systems to their corresponding kinetic equations, and the local-in-time convergence to the hydrodynamic limit for one of the models.

An irreducibility criterion for group representations, with arithmetic applications

We prove a criterion for the irreducibility of an integral group representation p over the fraction field of a noetherian domain R in terms of suitably defined reductions of p at prime ideals of R. As applications, we give irreducibility results for universal deformations of residual representations, with a special attention to universal deformations of residual Galois representations associated with modular forms of weight at least 2.

Las Imágenes del malestar. Representaciones del yo y la construcción de subjetividad en la producción audiovisual contemporánea y en los nuevos dispositivos tecnológicos

El tema de la investigación propuesto aquí, se centra en el malestar social, y la representación de éste desde un punto de vista personal y autobiográfico, algo que en estas página denomino Autorepresentación del malestar social. ¿Cómo se autorepresenta el malestar y qué prácticas artísticas se emplean para ello? ¿Cuáles son la transformaciones que provocan estas prácticas artísticas en el terreno audiovisual? En este sentido, exploraremos dos vías de análisis: por un lado nos interesa observar cuales han sido las modificaciones que el poder ha desarrollado para establecer nuevas formas de explotación, y por otro lado, veremos como estas modificaciones están generando una nueva praxis social donde las prácticas artísticas cobran un nuevo y reforzado sentido, así como una nueva capacidad política, individual y colectiva a un mismo tiempo, cargada de una fuerza transformadora capaz de componer nuevos espacios de sujeto. Analizaremos, desde la representación del yo en la vida cotidiana, el género y las relaciones interpersonales, hasta las transformaciones contemporáneas del trabajo, y los cambios en la construcción de la subjetividad. El principal elemento en el que se apoyaran nuestras investigaciones será el anàlisis de producciones audiovisuales contemporáneas y la distribución de estas en algunas de las redes de comunicación contemporáneas, intentando mostrar, de esta manera, la interacción y los efectos directos que provocan en la realidad social.

Collective intelligence

Estudio e implantación de algoritmos de recomendación, búsqueda, ranking y aprendizaje.

Open video tools to support the production of online collaborative audiovisual projects : how to promote collective creation in e-learning

This paper analyses the use of open video editing tools to support the creation and production of online collaborative audiovisual projects for higher education. It focuses on the possibilities offered by these tools to promote collective creation in virtual environments.

Collective Intelligence for OER Sustainability

To thrive, the Open Educational Resource (OER) movement, or a given initiative, must make sense of a complex, changing environment. Since "sustainability" is a desirable systemic capacity that our community should display, we consider a number of principles that sharpen the concept: resilience, sensemaking and complexity. We outline how these motivate the concept of collective intelligence (CI), we give examples of what OER-CI might look like, and we describe the emerging Cohere CI platform we are developing in response to these requirements.

The Decision on Turkish EU accession in December 2002: The logic of anarchy, collective action problems and rhetorical action

Studies of the EU accession of the East and Central European Countries have stressed the importance of neo-liberal institutionalism as an explanation for Member State preferences. In this paper it is argued that Member States’ preferences over Turkish EU accession are better explained by power politics and neo-realism. It seems therefore that Turkey’s way to the EU follows another path than the East and Central Countries. Turkish accession raises the question of the EU’s role in a uni-polar world order – whether the EU should develop into an independent actor on the world stage or not. However, when it comes to the interaction among the Member States in order to decide on when to open accession negotiations with Turkey the constitutive values of the EU seriously modify the outcome that pure power politics would have let to.

Supporting the reuse of effective CSCL learning designs through social structure representations

Distance and blended collaborative learning settings are usually characterized by different social structures defined in terms of groups' number, dimension, and composition; these structures are variable and can change within the same activity. This variability poses additional complexity to instructional designers, when they are trying to develop successful experiences from existing designs. This complexity is greatly associated with the fact that learning designs do not render explicit how social structures influenced the decisions of the original designer, and thus whether the social structures of the new setting could preclude the effectiveness of the reused design. This article proposes the usage of new representations (social structure representations, SSRs) able to support unskilled designers in reusing existing learning designs, through the explicit characterization of the social structures and constraints embedded either by the original designers or the reusing teachers, according to well-known principles of good collaborative learning practice. The article also describes an evaluation process that involved university professors, as well as the main findings derived from it. This process supported the initial assumptions about the effectiveness of SSRs, with significant evidence from both qualitative and qualitative data.

Computing congruences of modular forms and Galois representations modulo prime powers

This article starts a computational study of congruences of modular forms and modular Galoisrepresentations modulo prime powers. Algorithms are described that compute the maximum integermodulo which two monic coprime integral polynomials have a root in common in a sensethat is defined. These techniques are applied to the study of congruences of modular forms andmodular Galois representations modulo prime powers. Finally, some computational results withimplications on the (non-)liftability of modular forms modulo prime powers and possible generalisationsof level raising are presented.