Fundraising and Optimal Policy Rules

This paper develops a simple spatial model of fundraising, in which charities select a target population to solicit donations. First, we show that in a competitive charity market without any intervention, the number of charities in the market and/or the overall net funds raised by charities may be suboptimal. Next, we analyze whether a social planner can prevent such shortcomings and show that a regulatory mechanism can be designed to achieve socially desirable outcomes. In contrast to the previous literature, our model does not necessarily produce monopoly as the optimal market structure. We show that if fixed costs associated with establishing charities are sufficiently low, then the optimal market structure is not a monopoly. Given the importance of the trade‐off between the volume and variety of charitable services, we argue that this result may be of particular interest to policy makers.     

Technical Note-Generalized Formula for the Periodic Linear Gradient Series Payment in a Skip Payment Loan with Arbitrary Skips

Formato derived a useful formula of the amount of periodic level (“equal”) payment in a skip payment loan with arbitrary skips using a second-order finite difference equation. Moon rederived Formato's formula using time value of money and also extended Formato's result to the case that periodic payments occur in a geometric-gradient series. We rederived equivalent of these formulas using time value of money. It is suggested that the obtained formulas and their derivations are simpler than previous results. We also extend Formato's result to the case that periodic payments occur in a linear-gradient series.     

The Dynamics of Growth and Income Inequality under Progressive Taxation

This paper develops an endogenous growth model having a progressive income tax structure in which heterogeneous agents, who differ in terms of their rates of time preference, supply labor elastically. We analyze the dynamic adjustment to an increase in progressivity and show that the economy will converge to an equilibrium growth path with nondegenerate distributions of both income and wealth. The role of the endogeneity of labor supply is emphasized and shown to have a major impact on the nature of the transitional path, as a result of the impact of the progressive tax on agents’ work incentives. Our theoretical analysis is supplemented with, and supported by, numerical simulations, which generally match the empirical evidence rather closely. We also show that the responses of the different income groups contrast sharply from one another so that focusing on the economy‐wide average provides an incomplete picture.     

Building the Family Nest: Premarital Investments, Marriage Markets, and Spousal Allocations

We develop a transferable utility model of the household in which the marriage market is characterized by (negative or positive) assortative matching, and spousal allocations are determined by premarital investments. We demonstrate that all sharing rules along the assortative order support efficient outcomes both in terms of premarital investments and intra-household allocations. The efficiency of premarital choices and household allocations then enables us to show that, for each couple, the marriage market generates a unique and maritally sustainable sharing rule that is a function of the distribution of premarital endowments and the sex ratios in the market. According to our results, transfers among spouses occur on two margins: premarital investments and intra-marital spousal allocations. Asymmetries in the sex ratios in the marriage markets produce gender differences in premarital investments and consumption that are larger for individuals with small premarital endowments than those with larger endowments. A corollary of these findings is that, when men are in short supply in the marriage markets, women can invest more than men even when the returns to investment are lower or the costs are higher for women.