Fiscal sustainability in a new Keynesian model - additional appendix

Additional appendix relating to the article 'Fiscal sustainability in a new Keynesian model', forthcoming in the Journal of Money, Credit and Banking

Decentralized Constraint Satisfaction

We show that several important resource allocation problems in wireless networks fit within the common framework of Constraint Satisfaction Problems (CSPs). Inspired by the requirements of these applications, where variables are located at distinct network devices that may not be able to communicate but may interfere, we define natural criteria that a CSP solver must possess in order to be practical. We term these algorithms decentralized CSP solvers. The best known CSP solvers were designed for centralized problems and do not meet these criteria. We introduce a stochastic decentralized CSP solver and prove that it will find a solution in almost surely finite time, should one exist, also showing it has many practically desirable properties. We benchmark the algorithm's performance on a well-studied class of CSPs, random k-SAT, illustrating that the time the algorithm takes to find a satisfying assignment is competitive with stochastic centralized solvers on problems with order a thousand variables despite its decentralized nature. We demonstrate the solver's practical utility for the problems that motivated its introduction by using it to find a non-interfering channel allocation for a network formed from data from downtown Manhattan

Gravitational energy as dark energy: Concordance of cosmological tests

We provide preliminary quantitative evidence that a new solution to averaging the observed inhomogeneous structure of matter in the universe [gr-qc/0702082, arxiv:0709.0732], may lead to an observationally viable cosmology without exotic dark energy. We find parameters which simultaneously satisfy three independent tests: the match to the angular scale of the sound horizon detected in the cosmic microwave background anisotropy spectrum; the effective comoving baryon acoustic oscillation scale detected in galaxy clustering statistics; and type Ia supernova luminosity distances. Independently of the supernova data, concordance is obtained for a value of the Hubble constant which agrees with the measurement of the Hubble Key team of Sandage et al [astro-ph/0603647]. Best-fit parameters include a global average Hubble constant H_0 = 61.7 (+1.2/-1.1) km/s/Mpc, a present epoch void volume fraction of f_{v0} = 0.76 (+0.12/-0.09), and an age of the universe of 14.7 (+0.7/-0.5) billion years as measured by observers in galaxies. The mass ratio of non-baryonic dark matter to baryonic matter is 3.1 (+2.5/-2.4), computed with a baryon-to-photon ratio that concords with primordial lithium abundances.Comment: 4 pages, 2 figures; v2 improved statistics, references added, to appear in ApJ Letter

Study support essentials: guidance for Ofsted Framework 2012

The well-being of children and young people encompasses, amongst other things, enhanced self-esteem through personal achievement and a confidence in learning behaviours. The Study Support strategy articulated in this document supports professionals in developing an inspirational vision for the children and young people in their care. If this vision is to be realised, professionals need to be both knowledgeable and skillful in utilising pedagogies that engender deep learning. This Study Support strategy will enhance children and young people’s enjoyment, engagement and attainment thereby contributing to the overall performance and improvement agenda in any given school

Study support essentials: guidance for academies

This guidance supports academies in considering the case for sustaining and extending provision and offers frameworks for self-evaluation. The case studies provide a wealth of ideas to stimulate discussion and inspire fresh approaches to meet the needs of today’s students. Practical recommendations from QiSS (Quality in Study Support and Extended Services) to aid strategic and operational planning are based on many years of research and experience as the national leader in the field

Study support essentials: guidance for school governors

This document is a valuable guide for school governors as it enables them to use the guidance in this document to support their school’s teaching and learning activities outside of the curriculum. It empowers governors to ask leading and challenging questions of their school’s extending learning opportunities strategy. Thereby support the school to raise pupil attainment, attendance and behaviour which all contribute to School Improvement and Performance

Updating Neighbour Cell List via Crowdsourced User Reports: A Framework for Measuring Time Performance

In modern wireless networks deployments, each serving node needs to keep its Neighbour Cell List (NCL) constantly up to date to keep track of network changes. The time needed by each serving node to update its NCL is an important parameter of the network’s reliability and performance. An adequate estimate of such parameter enables a significant improvement of self-configuration functionalities. This paper focuses on the update time of NCLs when an approach of crowdsourced user reports is adopted. In this setting, each user periodically reports to the serving node information about the set of nodes sensed by the user itself. We show that, by mapping the local topological structure of the network onto states of increasing knowledge, a crisp mathematical framework can be obtained, which allows in turn for the use of a variety of user mobility models. Further, using a simplified mobility model we show how to obtain useful upper bounds on the expected time for a serving node to gain Full Knowledge of its local neighbourhood

How Optimal is US Monetary Policy?

Using a small-scale microfounded DSGE model with Markov switching in shock variances and policy parameters, we show that the data-preferred description of US monetary policy is a time-consistent targeting rule with a marked increase in conservatism after the 1970s. However, the Fed lost its conservatism temporarily in the aftermath of the 1987 stock market crash, and again following the 2000 dot-com crash and has not subsequently regained it. The high inflation of the 1970s would have been avoided had the Fed been able to commit, even without the appointment of Paul Volcker or the reduction in shock volatilities

‘Overlapping spheres’: factors related to children’s home learning and school experience

A child’s early academic learning experiences take place at home as well as at school. These two ‘overlapping spheres’ have unique roles to play for the child, and affect them in different ways. In this thesis, I focus on the child’s home life, and mother-child interactions nested within the home, and investigate how individual and dyadic characteristics of child and of mother may have a bearing on the quality of children’s academic and non-academic learning experiences at home, and on their experience of school. The first three papers used data from eighty-five families of Year 1 children in South-East England. This data was collected using questionnaire and interview measures and videotaped observations of mother-child interactions during home visits. Paper 1 explores personal and social factors in Year 1 children relating to their self-reported school adjustment. Results from interviews showed that family and home life were important for academic self-concept, but not for school engagement, further reinforcing existing research showing that each distinct environment within the child’s microsystem affects their experience of the other. Paper 2 focused on homework: an area of children’s formal education outside school. Most homework interaction research uses researcher-set activities; my study tested the validity of this by comparing genuine homework and a researcher-set task. In observations of 85 families of year 1 children, mother’s and child’s affect during genuine homework did not correlate with their affect during the non-homework tutored task, and were related to different personal and social factors. Taking this further, Paper 3 investigated whether maternal beliefs about education predicted how she scaffolded her child during Year 2 homework. This paper used data from eighty of the families, visited a year after the original visit. Results showed that instruction quality during homework was predicted by mothers’ earlier learning attribution beliefs, but not by their attitudes or expectations. Homework is believed to help children refine their self-regulation skills. Paper 4 examined maternal scaffolding interactions through the conceptual lens of ‘transfer of regulation’. Using a different dataset of home visits with seventy-eight families of children aged 8-11, the fine-grained coding method sheds light on aspects of tutored interactions typically missed by traditional scaffolding coding schemes, identifying various aspects of self-regulation and other-regulation, and mapping increases and decreases over the course of the task, thus providing rich information about the interaction quality within each mother-child dyad. In conclusion, both social (transfer of regulation: Paper 4; parenting styles, mother-child relationship: Paper 1) and individual (maternal beliefs and personality: Papers 2 and 3) factors within the home context play a role in the child’s learning and school experience – as assessed by academic self-concept, self-regulation, and the positivity and cognitive support received during homework. This thesis further reveals the interlaced nature of home and school, highlighting the value of unpacking the role of the home environment on children’s education