3,017 research outputs found
Ex-Post Full Surplus Extraction, Straightforwardly
Consider an estimate of the common value of an auctioned asset that is symmetric in the bidders' types. Such an estimate can be represented solely in terms of the order statistics of those types. This representation forms the basis for a pricing rule yielding truthful bidding as an equilibrium, whether bidders'types are affiliated or independent. We highlight the link between the estimator and full surplus extraction, providing a necessary and suffient condition for ex-post full surplus extraction, including the possibility of independent types. The results offer sharp insights into the strengths and limits of simple auctions by identifying the source of informational rents in such environments.Auctions, Full Surplus Extraction, Order Statistic Estimates
Random matrix study for a three-terminal chaotic device
We perform a study based on a random-matrix theory simulation for a
three-terminal device, consisting of chaotic cavities on each terminal. We
analyze the voltage drop along one wire with two chaotic mesoscopic cavities,
connected by a perfect conductor, or waveguide, with one open mode. This is
done by means of a probe, which also consists of a chaotic cavity that measure
the voltage in different configurations. Our results show significant
differences with respect to the disordered case, previously considered in the
literature.Comment: Proccedings of the V Leopoldo Garcia-Colin Mexican Meeting on
Mathematical and Experimental Physic
Typical length scales in conducting disorderless networks
We take advantage of a recently established equivalence, between the
intermittent dynamics of a deterministic nonlinear map and the scattering
matrix properties of a disorderless double Cayley tree lattice of connectivity
, to obtain general electronic transport expressions and expand our
knowledge of the scattering properties at the mobility edge. From this we
provide a physical interpretation of the generalized localization length.Comment: 12 pages, 3 figure
Absorption and Direct Processes in Chaotic Wave Scattering
Recent results on the scattering of waves by chaotic systems with losses and
direct processes are discussed. We start by showing the results without direct
processes nor absorption. We then discuss systems with direct processes and
lossy systems separately. Finally the discussion of systems with both direct
processes and loses is given. We will see how the regimes of strong and weak
absorption are modified by the presence of the direct processes.Comment: 8 pages, 4 figures, Condensed Matter Physics (IV Mexican Meeting on
Mathematical and Experimental Physics), Edited by M. Martinez-Mares and J. A.
Moreno-Raz
Metallic properties of magnesium point contacts
We present an experimental and theoretical study of the conductance and
stability of Mg atomic-sized contacts. Using Mechanically Controllable Break
Junctions (MCBJ), we have observed that the room temperature conductance
histograms exhibit a series of peaks, which suggests the existence of a shell
effect. Its periodicity, however, cannot be simply explained in terms of either
an atomic or electronic shell effect. We have also found that at room
temperature, contacts of the diameter of a single atom are absent. A possible
interpretation could be the occurrence of a metal-to-insulator transition as
the contact radius is reduced, in analogy with what it is known in the context
of Mg clusters. However, our first principle calculations show that while an
infinite linear chain can be insulating, Mg wires with larger atomic
coordinations, as in realistic atomic contacts, are alwaysmetallic. Finally, at
liquid helium temperature our measurements show that the conductance histogram
is dominated by a pronounced peak at the quantum of conductance. This is in
good agreement with our calculations based on a tight-binding model that
indicate that the conductance of a Mg one-atom contact is dominated by a single
fully open conduction channel.Comment: 14 pages, 5 figure
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