A social-choice function maps reports of the agents’ private information into a set of social alternatives. The (weak) expost implementation problem is to find transfers such that truthful reporting by the agents is ex-post incentive compatible. Jehiel et al. (2006) prove that in enviroments with a discrete set of social alternatives, at least two agents, multi-dimensional information and gener...

In almost all current approaches to decision making, it is assumed that a decision problem is described by a set of states and set of outcomes, and the decision maker (DM) has preferences over a rather rich set of acts, which are functions from states to outcomes. However, most interesting decision problems do not come with a state space and an outcome space. Indeed, in complex problems it is o...

This article introduces free group representations of planar vortexes in a CW space that are natural outcome results for amenable groups and fixed points found by M.M. Day during the 1960s fundamental result given L.E.J. Brouwer.

When deciding how to weigh benefits to different groups, standard economic models assume that people focus on the final distribution of utility, health or whatever. Thus, an egalitarian is assumed to be an egalitarian in the outcome space. But what about egalitarianism in the gains space, such that people focus instead on how equally benefits are distributed? This paper reports on a study in wh...

Many real world applications require managing both system requirements and user preferences where the latter are usually provided in a qualitative way. We introduce a new approach to handle these two aspects, in an efficient way, respectively through Constraint Satisfaction Problems (CSPs) and CP-nets. In particular, we use Arc Consistency (AC) in order to reduce the search space needed when lo...

the aim of this paper is to introduce $(l,m)$-fuzzy closurestructure where $l$ and $m$ are strictly two-sided, commutativequantales. firstly, we define $(l,m)$-fuzzy closure spaces and getsome relations between $(l,m)$-double fuzzy topological spaces and$(l,m)$-fuzzy closure spaces. then, we introduce initial$(l,m)$-fuzzy closure structures and we prove that the category$(l,m)$-{bf fc} of $(l,m...

To support pedagogical innovation, educators must reexamine physical space. This paper describes a project to redesign an existing classroom into a flexible learning space. The desired outcome was a classroom that would support a variety of pedagogical approaches and learning experiences. The findings, based on data gathered from students and faculty, indicate that the renovated classroom incre...