Maximizing Human Development

The Human Development Index (HDI) is widely used as an aggregate measure of overall human well being. We examine the allocations implied by the maximization of this index, using a standard growth model — an extended version of Mankiw, Romer, andWeil’s (1992) model — and compare these with the allocations implied by the golden rule in that model. We find that maximization of the HDI leads to the overaccumulation of both physical and human capital, relative to the golden rule, and consumption is pushed to minimal levels. We then propose an alternative specification of the HDI, which replaces its income component with a consumption component. Maximization of this modified HDI yields a “human development golden rule” which balances consumption, education and health expenditures, and avoids the more extreme implications of the existing HDI.Economic growth, Human Development Index, Planning

Nonlinear density evolution from an improved spherical collapse model

We investigate the evolution of non-linear density perturbations by taking into account the effects of deviations from spherical symmetry of a system. Starting from the standard spherical top hat model in which these effects are ignored, we introduce a physically motivated closure condition which specifies the dependence of the additional terms on the density contrast, $\delta$. The modified equation can be used to model the behaviour of an overdense region over a sufficiently large range of $\delta$. The key new idea is a Taylor series expansion in ($1/\delta$) to model the non-linear epoch. We show that the modified equations quite generically lead to the formation of stable structures in which the gravitational collapse is halted at around the virial radius. The analysis also allows us to connect up the behaviour of individual overdense regions with the non-linear scaling relations satisfied by the two point correlation function.Comment: 11 pages, 6 figures. Final version, contains added discussion and modified figures to match the accepted versio

Scaling Relations for Gravitational Collapse in Two Dimensions

It is known that radial collapse around density peaks can explain the key features of evolution of correlation function in gravitational clustering in three dimensions. The same model also makes specific predictions for two dimensions. In this paper we test these predictions in two dimensions with the help of N-Body simulations. We find that there is no stable clustering in the extremely non-linear regime, but a nonlinear scaling relation does exist and can be used to relate the linear and the non-linear correlation function. In the intermediate regime, the simulations agree with the model.Comment: Revised version, To appear in Ap

The Human Development Index as a Criterion for Optimal Planning

Planning strategies that maximize the Human Development Index (HDI) tend towards minimizing consumption and maximizing non-investment expenditures on education and health. Interestingly, such strategies also tend towards equitable outcomes, even though inequality aversion is not modelled in the HDI. A problematic feature of strategies that maximize the HDI is that the income component in the index only role is to distort the allocation between health and education expenditure. Because the income component does not play its intended role of securing resources for a decent standard of living, we argue that it is better to drop income from the index in considering optimal plans. Alternatively, we consider net income, income net of education and health expenditures, as indicator of capabilities not already reflected in the education and life expectancy components of the index. When net income is used in a modified HDI index, optimal plans yield a balance between allocations for consumption, education, and health. Finally, we calculate our modified indexes for OECD countries and compare them with the HDI.Consumption; Human development index; Income; Inequality; Planning

Choosing Longevity with Overlapping Generations

We extend Diamond’s (1965) OLG model to allow agents to choose whether to participate in the second period of life. The valuation of early exit (x) is a key parameter. We characterize competitive equilibria, efficient allocations, and predictions for income and life expectancy over time. We find that, with logarithmic utility, for any value of x, there is a range of initial values of the capital stock for which some agents would prefer to exit in equilibrium. The shape of the transition function and the number of steady state equilibria depend crucially on the value of capital’s share of income.ndogenous longevity, overlapping generations, growth

Systems, methods and devices for treating tinnitus

Systems, methods and devices for paired training include timing controls so that training and neural stimulation can be provided simultaneously. Paired trainings may include therapies, rehabilitation and performance enhancement training. Stimulations of nerves such as the vagus nerve that affect subcortical regions such as the nucleus basalis, locus coeruleus or amygdala induce plasticity in the brain, enhancing the effects of a variety of therapies, such as those used to treat tinnitus, stroke, traumatic brain injury and post-traumatic stress disorder.Board of Regents, University of Texas Syste

Women at the Workplace - The Journey of Three Generations of Women

"Women at the Workplace- The Journey of Three Generations of Women", is based on interviews conducted by the authors of a broad cross-section of women in leadership positions, middle management levels as well as women beginning their careers and those making a second start after some years of motherhood. Face to face interviews, each lasting several hours, with 32 women was the main source of information. In only 2 of these 32 cases, a questionnaire was employed. A broad framework was provided to the participants and used as a template for brainstorming. The persons early background, role models, dreams and aspirations, career achievements and the interplay between personal and professional lives was explored. The participants were asked to introspect and explore what success meant to them. A road map for the future for women in organizations was examined. The survey provided a fascinating insight into the minds and hearts of working women. Different women had different motives for working, different dreams and aspirations, different perceptions of the future, different support systems and different hurdles, however, there was also a deep rooted commonality. Looking beneath the surface many common themes and trends emerged for women with different backgrounds, different personality types and varied levels of education, seniority and experience. The human spirit wanted to achieve, to explore and to succeed - only the manifestation of this spirit was different in different cases. An equally strong parallel theme related to fulfillment beyond the realm of professional achievement was prevalent. An underlying need to fulfill maternal and societal roles was observed. The major challenge was to balance these seemingly contradictory aspirations and to achieve happiness. Paths traversed by these 32 women were different, each path equally valid for each person. However, these paths had many crossroads where each individual meets others and then continues on their own path. Till the next crossroad.