Stochastic dynamic programming for election timing: A game theory approach

In this paper, we consider dynamic programming for the election timing in the majoritarian parliamentary system such as in Australia, where the government has a constitutional right to call an early election. This right can give the government an advantage to remain in power for as long as possible by calling an election, when its popularity is high. On the other hand, the opposition's natural objective is to gain power, and it will apply controls termed as "boosts" to reduce the chance of the government being re-elected by introducing policy and economic responses. In this paper, we explore equilibrium solutions to the government, and the opposition strategies in a political game using stochastic dynamic programming. Results are given in terms of the expected remaining life in power, call and boost probabilities at each time at any level of popularity.

Knowledge about a Species' Conservation Status and Funding for its Preservation: Analysis

Using a species' population to measure its conservation status, this paper explores how increased knowledge about a species' status changes the public's willingness to donate funds for its conservation. This is based on the behavioral relationship between the level of donations and a species' conservation status satisfying general mathematical properties. This level of donation increases, on average, with greater knowledge of a species' conservation status if it is endangered, but falls if it is secure. Modelling enables individuals' demand for extra information about the conservation status of species to be specified. While this model may suggest that conservation bodies could boost funds for conservation of species by exaggerating species' endangerment, such a strategy is shown to be potentially counterproductive. (c) 2006 Elsevier B.V. All rights reserved.

The effect of pre-clinical fieldwork subject on the confidence and professional skills of undergraduate occupational therapy students

Objectives: This study investigated the effect of a pre-clinical fieldwork subject on the confidence and professional skills of undergraduate occupational therapy students during their first full-time clinical fieldwork placement. Methods: Participants were 31 third year students enrolled in the pre-clinical fieldwork subject (experimental group), and 25 students not enrolled in the subject (control group). Both quantitative and qualitative methodologies were employed to address the research question. Student anxiety levels were measured using the State-Trait Anxiety Inventory (STAI) and compared at three different intervals - prior to commencing the university semester, prior to commencing full-time practical placement, and following this full-time placement. Individual interviews were conducted with six students (three from the experimental group, three from the control group) to explore their perceptions regarding confidence levels and skill proficiencies during full-time placement. At each data analysis interval, responses for both groups were compared using independent samples t-tests. Responses were compared over time using analysis of variance (ANOVA). The qualitative data were subjected to thematic and content analysis. Results and Conclusions: In general, student anxiety levels did not differ between the experimental and control groups over time. However, qualitative results suggest that students who were enrolled in the pre-clinical subject have greater confidence and competence with occupational therapy skills, and have heightened awareness of the expectations on full-time placement.

Numerical methods for strong solutions of stochastic differential equations: an overview

This paper gives a review of recent progress in the design of numerical methods for computing the trajectories (sample paths) of solutions to stochastic differential equations. We give a brief survey of the area focusing on a number of application areas where approximations to strong solutions are important, with a particular focus on computational biology applications, and give the necessary analytical tools for understanding some of the important concepts associated with stochastic processes. We present the stochastic Taylor series expansion as the fundamental mechanism for constructing effective numerical methods, give general results that relate local and global order of convergence and mention the Magnus expansion as a mechanism for designing methods that preserve the underlying structure of the problem. We also present various classes of explicit and implicit methods for strong solutions, based on the underlying structure of the problem. Finally, we discuss implementation issues relating to maintaining the Brownian path, efficient simulation of stochastic integrals and variable-step-size implementations based on various types of control.

Meaning-based quality-of-life measurement: A way forward in conceptualizing and measuring client outcomes?

Despite current imperatives to measure client outcomes, social workers have expressed frustration with the ability of traditional forms of quantitative methods to engage with complexity, individuality and meaning. This paper argues that the inclusion of a meaning-based as opposed to a function-based approach to quality of life (QOL) may offer a quantitative means of measurement that is congruent with social-work values and practice.

The impact of leadership and change management strategy on organizational culture and individual acceptance of change during a merger

This article reports a longitudinal study that examined mergers between three large multi-site public-sector organizations. Both qualitative and quantitative methods of analysis are used to examine the effect of leadership and change management strategies on acceptance of cultural change by individuals. Findings indicate that in many cases the change that occurs as a result of a merger is imposed on the leaders themselves, and it is often the pace of change that inhibits the successful re-engineering of the culture. In this respect, the success or otherwise of any merger hinges on individual perceptions about the manner in which the process is handled and the direction in which the culture is moved. Communication and a transparent change process are important, as this will often determine not only how a leader will be regarded, but who will be regarded as a leader. Leaders need to be competent and trained in the process of transforming organizations to ensure that individuals within the organization accept the changes prompted by a merger.

Modelling cell lifespan and proliferation: is likelihood to die or to divide independent of age?

In cell lifespan studies the exponential nature of cell survival curves is often interpreted as showing the rate of death is independent of the age of the cells within the population. Here we present an alternative model where cells that die are replaced and the age and lifespan of the population pool is monitored until a, steady state is reached. In our model newly generated individual cells are given a determined lifespan drawn from a number of known distributions including the lognormal, which is frequently found in nature. For lognormal lifespans the analytic steady-state survival curve obtained can be well-fit by a single or double exponential, depending on the mean and standard deviation. Thus, experimental evidence for exponential lifespans of one and/or two populations cannot be taken as definitive evidence for time and age independence of cell survival. A related model for a dividing population in steady state is also developed. We propose that the common adoption of age-independent, constant rates of change in biological modelling may be responsible for significant errors, both of interpretation and of mathematical deduction. We suggest that additional mathematical and experimental methods must be used to resolve the relationship between time and behavioural changes by cells that are predominantly unsynchronized.