A further note on the college admission game

When a stable matching rule is used for a college admission market, questions on incentives facing agents of both sides of the market naturally emerge. This note states and proves four important results which fill a gap in the theory of incentives for the college admission model. Two of them have never been demonstrated but have been used along the years and are responsible for the success that this theory has had in explaining empirical economic phenomena.

Estimation methods of non-additive effects for characteristics of weight and scrotal circumference in crossbred beef cattle

The objective of this study was to investigate, in a population of crossbred cattle, the obtainment of the non-additive genetic effects for the characteristics weight at 205 and 390 days and scrotal circumference, and to evaluate the consideration of these effects in the prediction of breeding values of sires using different estimation methodologies. In method 1, the data were pre-adjusted for the non-additive effects obtained by least squares means method in a model that considered the direct additive, maternal and non-additive fixed genetic effects, the direct and total maternal heterozygosities, and epistasis. In method 2, the non-additive effects were considered covariates in genetic model. Genetic values for adjusted and non-adjusted data were predicted considering additive direct and maternal effects, and for weight at 205 days, also the permanent environmental effect, as random effects in the model. The breeding values of the categories of sires considered for the weight characteristic at 205 days were organized in files, in order to verify alterations in the magnitude of the predictions and ranking of animals in the two methods of correction data for the non-additives effects. The non-additive effects were not similar in magnitude and direction in the two estimation methods used, nor for the characteristics evaluated. Pearson and Spearman correlations between breeding values were higher than 0.94, and the use of different methods does not imply changes in the selection of animals.

A nonlinear elliptic problem with terms concentrating in the boundary

In this paper, we investigate the behavior of a family of steady-state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a e-neighborhood of a portion G of the boundary. We assume that this e-neighborhood shrinks to G as the small parameter e goes to zero. Also, we suppose the upper boundary of this e-strip presents a highly oscillatory behavior. Our main goal here was to show that this family of solutions converges to the solutions of a limit problem, a nonlinear elliptic equation that captures the oscillatory behavior. Indeed, the reaction term and concentrating potential are transformed into a flux condition and a potential on G, which depends on the oscillating neighborhood. Copyright (C) 2012 John Wiley & Sons, Ltd.

Exponential stability for a plate equation with p-Laplacian and memory terms

This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p-Laplacian type, utt+?2u-?pu+?0tg(t-s)?u(s)ds-?ut+f(u)=0inOXR+, with simply supported boundary condition, where O is a bounded domain of RN, g?>?0 is a memory kernel that decays exponentially and f(u) is a nonlinear perturbation. This kind of problem without the memory term models elastoplastic flows.

Post-trial access to study medication: a Brazilian e-survey with major stakeholders in clinical research

Objectives To analyse the perspective of clinical research stakeholders concerning post-trial access to study medication. Methods Questionnaires and informed consents were sent through e-mail to 599 ethics committee (EC) members, 290 clinical investigators (HIV/AIDS and Diabetes) and 53 sponsors in Brazil. Investigators were also asked to submit the questionnaire to their research patients. Two reminders were sent to participants. Results The response rate was 21%, 20% and 45% in EC, investigators and sponsors' groups, respectively. 54 patients answered the questionnaire through their doctors. The least informative item in the consent form was how to obtain the study medication after trial. If a benefit were demonstrated in the study, 60% of research participants and 35% of EC answered that all patients should continue receiving study medication after trial; 43% of investigators believed the medication should be given to participants, and 40% to subjects who participated and benefited from treatment. For 50% of the sponsors, study medication should be assured to participants who had benefited from treatment. The majority of responders answered that medication should be provided free by sponsors; investigators and sponsors believed the medication should be kept until available in the public health sector; EC members said that the patient should keep the benefit; patients answered that benefits should be assured for life. Conclusions Due to the study limitations, the results cannot be generalised; however, the data can contribute to discussion of this complex topic through analysing the views of stakeholders in clinical research in Brazil.