Let p be a large prime number, K,L, M, λ be integers with 1 ≤ M ≤ p and gcd(λ, p) = 1. The aim of our paper is to obtain sharp upper bound estimates for the number I2(M ; K, L) of solutions of the congruence xy ≡ λ (mod p), K + 1 ≤ x ≤ K + M, L + 1 ≤ y ≤ L + M and for the number I3(M ; L) of solutions of the congruence xyz ≡ λ (mod p), L + 1 ≤ x, y, z ≤ L + M. Using the idea of Heath-Brown from...

A photoassisted oxygen reduction reaction (ORR) through I(-)/I3(-) redox couple was investigated for proton exchange membrane (PEM) fuel cell cathode reaction. The I(-)/I3(-)-based liquid cathode was used to replace conventional oxygen cathode, and its discharge product I(-) was regenerated to I3(-) by photocatalytic oxidation with the participation of oxygen. This new and innovative approach m...

Social choice theory is concerned with the evaluation of alternative methods of collective decision-making, as well as with the logical foundations of welfare economics. In turn, welfare economics is concerned with the critical scrutiny of the performance of actual and/or imaginary economic systems, as well as with the critique, design and implementation of alternative economic policies. The Ha...

Death, Happiness, and the Calculation of Compensatory Damages This paper studies the mental distress caused by bereavement. The largest emotional losses are from the death of a spouse; the second-worst in severity are the losses from the death of a child; the third-worst is the death of a parent. The paper explores how happiness regression equations might be used in tort cases to calculate comp...

 Cash transfer programs have become extremely popular in the developing world. There is a large literature on the effects of these programs on schooling, health and nutrition, but relatively little is known about possible impacts on child development. This paper analyzes the impact of a cash transfer program on cognitive development in early childhood in rural Nicaragua. Identification is base...

Emotional Prosperity and the Stiglitz Commission This paper argues – in line with the proposals of the recent Stiglitz Commission on the Measurement of Economic Performance and Social Progress – that we should now be measuring a nation’s emotional prosperity rather than its economic prosperity (that is, we ought to focus on the level of mental well-being not the number of pounds in people’s ban...

Local beer breweries in Burkina Faso absorb a considerable amount of urban woodfuel demand. We assess the woodfuel savings caused by the adoption of improved brewing stoves by these micro-breweries and estimate the implied welfare eff ects through the woodfuel market on private households as well as the environmental eff ect. We fi nd substantial wood savings among the breweries and, subsequent...

Subjective Well‐Being and Income: Is There Any Evidence of Satiation? Many scholars have argued that once “basic needs” have been met, higher income is no longer associated with higher in subjective well-being. We assess the validity of this claim in comparisons of both rich and poor countries, and also of rich and poor people within a country. Analyzing multiple datasets, multiple definitions ...

We study fair and effi cient tax-benefit schemes based on income and non-income factors under partial control. Partial control means that each factor is a specific mixture of unobserved ability (randomly drawn by nature) and effort (chosen by individuals who differ in tastes). Factors differ in the degree of control, ranging from no control (if only ability matters) to full control (if only eff...

The Impact of the UK New Deal for Lone Parents on Benefit Receipt This paper evaluates the UK New Deal for Lone Parents (NDLP) program, which aims to return lone parents to work. Using rich administrative data on benefit receipt histories and a “selection on observed variables” identification strategy, we find that the program modestly reduces benefit receipt among participants. Methodologicall...