The distribution of economic wellbeing is generally regarded as one of the key performance indicators of a society and economic wellbeing is strongly influenced by income, wealth and consumption. Despite this, almost all studies of inequality in Australia have relied upon income as the sole measure of economic wellbeing, due in large part to the ready availability of income data. This thesis attempts to redress that deficiency. This thesis provides an insight into an under-researched but vitally important topic � the distribution of wealth. Specifically the research has three goals. The first is to provide estimates of the level and distribution of wealth in Australia at the current time and the trends over the past decade or two. The second aim is to provide projections of the future wealth distribution. The final goal is to see if there are significant differences between the distribution of lifetime wealth and the annual cross-sectional distribution of wealth. The research uses a technique not previously used in Australia to estimate wealth in the future � dynamic microsimulation. The microsimulation model used is based on a starting sample of 150,000 individuals and this large number allows a large range of experiences to be modelled, while not having the high costs, years of commitment and other problems associated with undertaking panel studies. This thesis estimates that the average levels of wealth will increase significantly over the 40-year period from 2000 to 2040 but that wealth inequality will increase over the same period. The reasons for the increases in wealth inequality appear to be due to changes in asset ownership, particularly lower levels of home ownership; the ageing population; and increases in inequality within age cohorts. The research found that lifetime wealth inequality for a sub-group of Generation X differed from the distribution based on annual data. The lifetime wealth inequality was significantly less than the annual wealth inequality.

<p>Paper 1 : A geometrical version of Hardy's inequality for W_0^{1,p}(D).</p><p>The aim of this article is to prove a Hardy-type inequality, concerning functions in W_0^{1,p}(D) for some domain D in R^n, involving the volume of D and the distance to the boundary of D. The inequality is a generalization of a previously proved inequality by M. and T. Hoffmann-Ostenhof and A. Laptev, which dealt with the special case p=2.</p><p>Paper 2 : A Hardy inequality in the Half-space.</p><p>Here we prove a Hardy-type inequality in the half-space which generalize an inequality originally proved by V. Maz'ya to the so-called L^p case. This inequality had previously been conjectured by the mentioned author. We will also improve the constant appearing in front of the reminder term in the original inequality (which is the first improved Hardy inequality appearing in the litterature).</p><p>Paper 3 : Hardy type inequalities for Many-Particle systems.</p><p>In this article we prove some results about the constants appearing in Hardy inequalities related to many particle systems. We show that the problem of estimating the best constants there is related to some interesting questions from Geometrical combinatorics. The asymptotical behaviour, when the number of particles approaches infinity, of a certain quantity directly related to this, is also investigated.</p><p>Paper 4 : Various results in the theory of Hardy inequalities and personal thoughts.</p><p>In this article we give some further results concerning improved Hardy inequalities in Half-spaces and other conic domains. Also, some examples of applications of improved Hardy inequalities in the theory of viscous incompressible flow will be given.</p>

Let X = (X1,.....,Xm) be an infinitely degenerate system of vector fields, we study the existence and regularity of multiple solutions of Dirichelt problem for a class of semi-linear infinitely degenerate elliptic operators associated with the sum of square operator Δx = ∑m(j=1) Xj* Xj.

Paper 1 : A geometrical version of Hardy's inequality for W_0^{1,p}(D). The aim of this article is to prove a Hardy-type inequality, concerning functions in W_0^{1,p}(D) for some domain D in R^n, involving the volume of D and the distance to the boundary of D. The inequality is a generalization of a previously proved inequality by M. and T. Hoffmann-Ostenhof and A. Laptev, which dealt with the special case p=2. Paper 2 : A Hardy inequality in the Half-space. Here we prove a Hardy-type inequality in the half-space which generalize an inequality originally proved by V. Maz'ya to the so-called L^p case. This inequality had previously been conjectured by the mentioned author. We will also improve the constant appearing in front of the reminder term in the original inequality (which is the first improved Hardy inequality appearing in the litterature). Paper 3 : Hardy type inequalities for Many-Particle systems. In this article we prove some results about the constants appearing in Hardy inequalities related to many particle systems. We show that the problem of estimating the best constants there is related to some interesting questions from Geometrical combinatorics. The asymptotical behaviour, when the number of particles approaches infinity, of a certain quantity directly related to this, is also investigated. Paper 4 : Various results in the theory of Hardy inequalities and personal thoughts. In this article we give some further results concerning improved Hardy inequalities in Half-spaces and other conic domains. Also, some examples of applications of improved Hardy inequalities in the theory of viscous incompressible flow will be given.

The thesis consists of three essays on urban economies. The first essay investigates the relationship between proximity to larger markets and wage distribution within local labor markets. In this essay I derive a theoretical spatial skill demand equation that positively links skill premiums to market access. Using data from U.S. metropolitan areas, I provide evidence that while average wages are higher in metropolitan areas with higher market access, as suggested in the existing literature, the wage differential is unequally distributed across the metropolitan workers. That is, greater access to markets is linked to relatively weaker outcomes for those at the bottom of the wage distribution.<p> The second essay examines the extent of urban sprawl with respect to the volatility of local economies. Specifically, it investigates how uncertainty over future land rents explains changes in the extent of urban sprawl. To theoretically study this relationship, I develop a theoretical model that links sprawl to shocks to changes in land development rent, among other factors. The econometric analysis draws upon panel data from U.S. metropolitan areas over the 1980-2000 censuses. To measure urban sprawl, I construct a distinctive measure that better captures the distribution of population density within metropolitan areas. Using suitable proxy that accounts for uncertainty over future land rents, I provide robust evidence confirming the theoretical prediction. That is, metropolitan areas with higher levels of uncertainty have a lower level of sprawl.<p> Finally, the third essay uses theories from urban production economics to empirically investigate the relationship between the economic performance of U.S. metropolitan areas and their respective amounts of sprawl. Specifically, this essay provides a comprehensive empirical analysis on the impact of urban sprawl on labor productivity. The main finding suggests that higher levels of urban sprawl are negatively associated with average labor productivity. Interestingly, this negative association is even stronger in smaller metropolitan areas. Still, there is evidence that the significance of the negative impact of sprawl is not homogenous across major industries.

This dissertation is comprised of three papers. In Chapter 1 I analyze if career heterogeneity in terms of life-cycle earnings, occupational mobility and unemployment is predominantly driven by skills acquired prior to labor market entry or by decisions made and shocks accumulated over the working life. My study is based on a Dynamic Discrete Choice model that enriches the proto-typical dynamic Roy-model with a number of potentially important sources of career heterogeneity, such as match heterogeneity and permanent shocks to skills. I find that a large fraction of life-cycle income inequality is driven by match heterogeneity among workers with the same observable and unobservable credentials. Differences in comparative advantages, though quantitatively important as well, have a much smaller impact than what has been found in research that relies on estimates from more restrictive dynamic Roy models. In Chapter 2 I estimate a flexible non-stationary variance components model of residual earnings dynamics and investigate if recent increases in residual inequality are caused by an increase of the variances of permanent, persistent or transitory shocks. My results suggest that underlying sources of increasing wage inequality are very different across education groups. Most importantly, only the lesser educated experience a large increase in earnings instability. Chapter 1 and 2 utilize a unique administrative data set from Germany that follows workers from the time of labor market entry until twenty-three years into their careers. In the last chapter I investigate empirically if a particular set of pre-labor market skills – namely university student achievement – can be fostered by assigning male teachers to male students and female teachers to female students. I find that being taught by a same-sex instructor helps students to improve their relative grade performance and the likelihood of completing a course, but the magnitudes of these effects are small.

This dissertation is comprised of three papers. In Chapter 1 I analyze if career heterogeneity in terms of life-cycle earnings, occupational mobility and unemployment is predominantly driven by skills acquired prior to labor market entry or by decisions made and shocks accumulated over the working life. My study is based on a Dynamic Discrete Choice model that enriches the proto-typical dynamic Roy-model with a number of potentially important sources of career heterogeneity, such as match heterogeneity and permanent shocks to skills. I find that a large fraction of life-cycle income inequality is driven by match heterogeneity among workers with the same observable and unobservable credentials. Differences in comparative advantages, though quantitatively important as well, have a much smaller impact than what has been found in research that relies on estimates from more restrictive dynamic Roy models. In Chapter 2 I estimate a flexible non-stationary variance components model of residual earnings dynamics and investigate if recent increases in residual inequality are caused by an increase of the variances of permanent, persistent or transitory shocks. My results suggest that underlying sources of increasing wage inequality are very different across education groups. Most importantly, only the lesser educated experience a large increase in earnings instability. Chapter 1 and 2 utilize a unique administrative data set from Germany that follows workers from the time of labor market entry until twenty-three years into their careers. In the last chapter I investigate empirically if a particular set of pre-labor market skills – namely university student achievement – can be fostered by assigning male teachers to male students and female teachers to female students. I find that being taught by a same-sex instructor helps students to improve their relative grade performance and the likelihood of completing a course, but the magnitudes of these effects are small.

Following the increased attention income differences/inequality has gained within the area of economic geography and among policy-planning; this study seeks to explore and analyze the factors affecting income differences in the regions of Ghana. From the use of regional (10 regions) panel data for 1960, 1970, 1984 and 2000; the results show a direct link between socio-demographic factors and regional income differences/inequality and also the impact of ethnic and religious composition on regional income differences. It was identified that ethnicity and religious compositions have different impacts on regional income differences. Christians have positive effect on regional income due to their fairly representation in almost all the regions likewise the Akans, but have negative effect on regional income. And also high population density in a region reduces the mean regional income, similarly high concentration of population aged 60years and over reduces the regional income. Evidence from the results empirically conclude that regions with high share of aged population, Akans, Muslims and high population density have low regional income compared with regions with high share of Christians.

It is suggested that people’s perceptions that they are inevitably tied to the social systems within which they operate motivate them to justify these systems. Evidence is obtained across four experimental studies using a variety of different methods. All studies test the basic proposition that increasing inevitability – that is, making a system seem either more difficult to escape or more unlikely to change – increases motivated rationalization. Studies 1 and 2 demonstrate this basic phenomenon, using a known measure of system justification. Studies 3 and 4, in addition to conceptually replicating this phenomenon via different paradigms, provide support for a motivational (as opposed to purely cognitive-inferential) account, and mediational and moderational evidence for my proposed mechanism, respectively. The implications of these results – for the refinement of system justification theory – are discussed.

Purpose: When the prevalence of physical teen dating violence (TDV) victimization is examined at the state level, significant variation exists; the prevalence ranges from 7.4% in Oklahoma and Vermont to 17.8% in Louisiana. Using U.S. states as the unit of analysis, this study sought to determine whether gender inequality is a societal level risk factor for TDV victimization. Method: Data measuring physical TDV victimization were obtained from the 2009 YRBS. To measure the level of gender inequality in each state, the Gender Inequality Index (GII) was calculated using the procedure described in the United Nations’ Human Development Report. Pearson’s correlation coefficients were calculated to determine the association between TDV victimization, the GII, and the indicators of the GII. Results: Of the 40 states included in analyses, the GII was significantly associated with the state prevalence of both total TDV victimization (r=.323, p=.042) and female TDV victimization (r=.353, p=.026). Subsequent to removal of the outlying case of Oklahoma, the GII was also significantly associated with male TDV victimization (r=.366, p=.022). Several individual GII indicators were significantly associated with TDV victimization after removing the outlying case. Ordinary least squares regression was used to create a model for TDV victimization and gender inequality. Conclusion: This is the first study to examine societal level gender inequality as a risk factor for state level TDV victimization using nationally representative data on school youth. As policy-makers implement TDV prevention policy at the state level, further research understanding potential macro-level risk factors is particularly important.