In 1951, K. J. Arrow proved that, under certain assumptions, it is impossible to have group decision making rules which satisfy reasonable conditions like symmetry. This Impossibility Theorem is often cited as a proof that reasonable group decision making is impossible. We start our paper by remarking that Arrow’s result only covers the situations when the only information we have about individ...

In the last lecture, we saw (one instance of) how differential privacy can be used as a tool in mechanism design. We used it to design a prior-free near-revenue optimal digital goods auction. As this course continues, we will see several other instances in which privacy is used purely as a tool to solve other mechanism design problems, but today I want to shift gears and think of differential p...

To examine the impacts of enhanced UI feedback on shoulder-to-shoulder computing, we conducted a study using a simple picture puzzle on a computer with one display, two mice, and one keyboard. After adding sound, color differentiation, status indicators, and a graphical history, the accuracy with which subjects reported the actions of the person sitting next to them increased significantly. Par...

PURPOSE To determine an objective cutoff value (COV) for urinary incontinence (UI) using the Expanded Prostate Cancer Composite (EPIC) score after radical prostatectomy (RP). METHODS From 2004-2013, all RP patients at our institution completed the EPIC urinary domain (EPIC-UD) questionnaire preoperatively and 6 weeks; 3, 6, 9, 12, and 18 months postoperatively; and yearly thereafter. The EPIC...

where the sum is performed for k ∈ Z and on indices i ∈ Z such that iε ∈ Ω and (i+ k)ε ∈ Ω. If we picture the lattice εZ ∩ Ω as the reference configuration of a set of material points interacting through some forces, and ui represents the displacement of the i-th point, then ψ ε can be thought as the energy density of the interaction of points with distance kε in the reference lattice. Note tha...

Recently Kajii and Ui [17] proposed to characterize interim efficient allocations in an exchange economy under asymmetric information when uncertainty is represented by multiple posteriors. When agents have Bewley’s incomplete preferences, Kajii and Ui [17] proposed a necessary and sufficient condition on the set of posteriors. However, when agents have Gilboa–Schmeidler’s MaxMin expected utili...

When designing executable user interfaces, it is often advantageous to use declarative and procedural approaches together, each when most appropriate: − A declarative approach can be used to define widget types, their initial states, their resize behavior, and how they are nested to form each window. All this information can be represented as a data structure. For example, widgets can be record...