Shill bidding, where a seller masquerades as a buyer bidding for her own item to inflate the price, has challenged the classical auction theories. We show that with the possibility of shill bidding, a multi-round single-unit English auction has neither pure-nor mixed-strategy Perfect Bayesian Equilibria (PBE) when there is no gap between the seller's valuation and the lowest possible buyer valu...

In this work facile sol-gel (pechni) method has been successfully established to synthesize Zn4B6O13 nanocrystals which have cubic crystals with lattice parameter: a =7.48 A. The structure and morphology of the obtained material were studied by X-ray diffraction (XRD), Infrared spectra (IR), scanning electron microscopy (SEM) and photoluminescence analysis. The experimental results show a band ...

The population balance equation (PBE) is an integro-partial differential equation, which admits analytical solutions only for a few simple cases. We propose for the first time a novel converging sequence of continuous approximations to the number concentration function as a solution to the PBE. The uniqueness and convergence of such a sequence are assured by being an optimal solution to a const...

Like any other precipitation process, in supercritical water hydrothermal synthesis (SWHS), the need to improve product quality and minimize production cost requires understanding and optimization of Particle Size Distribution (PSD). In this work, using Population Balance Equation (PBE) containing nucleation and growth terms, the reactive precipitation of zirconia nanoparticles prepared by ...

VIRTUAL TUNING CURVES we only train the HMMs on spikes from PBEs; to determine if the inferred states encode position data, we compute virtual tuning curves in two ways: (A) by decoding RUN data using the PBE-only HMM, and then using the true position data to estimate a map from states to position, and (B) by using the Bayesian decoder to estimate position during PBEs, and to learn a map from t...

In [6] a general notion of perfect Bayesian equilibrium (PBE) for extensive-form games was introduced and shown to be intermediate between subgame-perfect equilibrium and sequential equilibrium. Besides sequential rationality, the ingredients of the proposed notion are (1) the existence of a plausibility order on the set of histories that rationalizes the given assessment and (2) the notion of ...

Learning programs is a timely and interesting challenge. In Programming by Example (PBE), a system attempts to infer a program from input and output examples alone, by searching for a composition of some set of base functions. We show how machine learning can be used to speed up this seemingly hopeless search problem, by learning weights that relate textual features describing the provided inpu...

INTRODUCTION One of the main problems in PBE inferencing is that of deriving abstract data characterizations from concrete objects and values involved in user’s manipulations [8]. This involves selecting variables and constants (parameterization) among involved values, and establishing what variables represent. Some variables will be input parameters of the construct or procedure inferred by th...

To evaluate the effect of French Maritime Pine Bark Extract (PBE; Pycnogenol®) on immune, oxidative stress and neurochemical biomarkers in paediatric Attention-Deficit Hyperactivity Disorder (ADHD) as compared to methylphenidate (MPH) placebo. Paediatric ADHD patients (n = 88, 70 % male, mean age 10.1 years) were randomised (placebo 30), PBE 32) MPH 26)) receiving 20 mg/day if < 30 kg or 40 ≥ P...

Determine the effect of French Maritime Pine Bark Extract (PBE; Pycnogenol®) on Attention-Deficit Hyperactivity Disorder (ADHD) behaviour and co-morbid physical/psychiatric symptoms, compared to placebo medicine MPH, assess its tolerability. Behaviour (measured by ADHD-Rating Scale (ADHD-RS) Social-Emotional Questionnaire (SEQ)) physical complaints were evaluated in weeks 5 10. Eighty-eight pae...