Ad valorem housing subsidies may reduce house building

In this paper it is shown that an ad valorem housing subsidy set by a central regulator (or a raise in the ad valorem housing subsidy rate) may reduce the number of houses built in the market and increase the price paid by the buyers of houses. The analysis considers a situation where there is imperfect competition in the housing market and a local regulator that decides on density, or on the number of sites for housing development, and that cares about a combination of the profits of housing developers and the surplus of buyers of houses.

Electronic spectroscopy of propofol, propofol homomers ad their hydratated clusters

538 p.

An approach version of fuzzy metric spaces including an ad hoc fixed point theorem

In this paper, inspired by two very different, successful metric theories such us the real view-point of Lowen's approach spaces and the probabilistic field of Kramosil and Michalek's fuzzymetric spaces, we present a family of spaces, called fuzzy approach spaces, that are appropriate to handle, at the same time, both measure conceptions. To do that, we study the underlying metric interrelationships between the above mentioned theories, obtaining six postulates that allow us to consider such kind of spaces in a unique category. As a result, the natural way in which metric spaces can be embedded in both classes leads to a commutative categorical scheme. Each postulate is interpreted in the context of the study of the evolution of fuzzy systems. First properties of fuzzy approach spaces are introduced, including a topology. Finally, we describe a fixed point theorem in the setting of fuzzy approach spaces that can be particularized to the previous existing measure spaces.