Long‐term care policy with lazy rotten kids

This paper studies the determination of informal long‐term care (LTC) provided by children in a scenario which is somewhere in between perfect altruism and selfish exchanges. Parents are altruistic but children are purely selfish, and neither side can make credible commitments. The model is based on Becker's “rotten kid” specification except that it explicitly accounts for the sequence of decisions. In Becker's world, with a single good efficiency is achieved. We show that when family aid is introduced the outcome is likely to be inefficient. Still, the rotten kid mechanism is at work and ensures that a positive level of LTC is provided as long as the bequest motive is operative. We identify the inefficiencies by comparing the laissez‐faire (subgame perfect) equilibrium to the first‐best allocation. We first assume that families are identical ex ante and then consider the case where dynasties differ in wealth. We study how the provision of LTC can be improved by public policies. Interestingly, crowding out of private aid by public LTC is not a problem in this setting. With an operative bequest motive, public LTC will have no impact on private aid. More amazingly still, when the bequest motive is (initially) not operative, public insurance may even enhance the provision of informal aid.     

Intergenerational transfers,demographic transition,and altruism: Problems in developing Asia

This paper develops a three‐period overlapping‐generations model where middle‐aged agents care about not only their own lifetime utility but also their old parents' and children's well‐being. The doubly altruistic agents choose amounts of intergenerational transfers to their old parents and children as well as private savings. The government specifies amounts of public transfers from working adults to the dependents. The model also takes the effects of demographic transition on the burdens of supporting the elderly and children into account. Using 23 countries' data from the National Transfer Accounts (NTA ), we estimate the degrees of filial and parental altruism and adjust them for their respective life expectancy and fertility rates. The findings suggest that people in developing countries are more parentally altruistic than those in developed ones while the adjusted degree of filial altruism tends to be low in developing Asia. Our welfare analyses reveal that the developing Asian countries must introduce more comprehensive public welfare programs for the elderly to maximize social welfare. Moreover, their low adjusted degree of filial altruism may trap the developing Asian countries at the low levels of public old‐age support and social welfare as the further demographic transition ensues.     

Free‐Riding and the Provision of Public Goods in the Family: A Laboratory Experiment*

We examine the provision of family public goods using experimental economics methods. With sufficient altruism and shared resource arrangements, families can provide the efficient level of family public goods. Becker's Rotten Kid Theorem asserts that transfers from altruistic parents will induce children to maximize family income even if children are not altruistic toward other family members. Consistent with altruism, parents and children contributed more to a public good when in groups with family members than when in groups with strangers. In contrast to the predictions of the Rotten Kid Theorem, however, children's behavior fell short of maximizing family income.     

Family Altruism and Incentives

This paper characterizes the pattern of intergenerational transfers that emerges in an altruistic model of the family when children's effort is explicitly made endogenous and parents have imperfect information on the stochastic income realizations of their children. It is shown that, if parents can credibly commit to a pattern of transfers, they will choose not to compensate children in bad outcomes as much as predicted by the standard (no uncertainty, no asymmetric information) dynastic model of the family. In this context, Ricardian equivalence holds whenever non‐negativity constraints are not binding.     

Optimal long-term care policy in an intergenerational exchange setting

We examine the optimality of public long-term care policy, incorporating an exchange game between elderly parents and adult children and transfer-seeking competition among siblings, instead of children's altruism. Results reveal that when children compete to obtain more valuable bequests from parents in exchange for elderly care, public long-term care policy is optimal if government can provide long-term care more efficiently than children can, thereby reducing parental bequests, possibly to zero. This is likely to be the case when children's wages are high. Formal long-term care might not be necessary if parents can receive adequate informal care in exchange for bequests to children with low wages.     

FORMAL HOME HEALTH CARE,INFORMAL CARE,AND FAMILY DECISION MAKING*

We use the 1993 wave of the Assets and Health Dynamics Among the Oldest Old (AHEAD) data set to estimate a game‐theoretic model of families' decisions concerning the provision of informal and formal care for elderly individuals. The outcome is the Nash equilibrium where each family member jointly determines her consumption, transfers for formal care, and allocation of time to informal care, market work, and leisure. We use the estimates to decompose the effects of adult children's opportunity costs, quality of care, and caregiving burden on their propensities to provide informal care. We also simulate the effects of a broad range of policies of current interest.     

Estate recovery and long‐term care insurance

Estate recovery is a policy under which the state recovers part of long‐term care (LTC) subsidies from the estates of deceased beneficiaries. This paper studies the effect of estate recovery on LTC insurance demand. This effect strongly relies on the bequest motive since the main purpose behind purchasing LTC insurance is to protect bequests from the financial costs of LTC. We find that the impact of estate recovery on LTC insurance depends on the level of parental bequests and on whether and how the parent anticipates the child's preferences with respect to informal care. More specifically, we show that estate recovery encourages the parent to purchase LTC insurance when his child is considered selfish or to like providing care. However, this policy could provide disincentives to LTC insurance purchase by the parent if his child is considered to dislike providing informal care. Our results also show that estate recovery reduces and may even eliminate public support crowding out of private LTC insurance demand. Finally, we characterize the welfare implications of financing LTC public support by estate recovery.     

Capital Accumulation and Fiscal Policy in an OLG Model with Family Altruism

The idea of family altruism is that parents care only about their children's income and not about the use of this income made by the children. First, we establish dynamical properties which place the OLG model with family altruism halfway between the model with pure life‐cyclers ( Diamond 1965 ; American Economic Review 55, 1126–1150) and the one with dynastic altruism ( Barro 1974 ; Journal of Political Economy 82, 1095–1117). Then, we show that this concept leads to interesting fiscal policy conclusions less clear‐cut and more realistic than those obtained with the two previous standard OLG models: a pay‐as‐you‐go social security is neutral but not a public debt.     

Social Security and Growth in an Altruistic Economy

This paper studies the macroeconomic impact of private and public intergenerational transfers in the presence of endogenous growth. It focuses on two-sided altruism implying that individuals have both a motive to make gifts to their parents and a motive to leave bequests to their children. The growth effects of social security depend on whether children are making gifts to their parents or parents are leaving bequests to their children. Which of the transfers is operative, in turn, depends on the size of social security benefits. Social security is legislated endogenously. The introduction of a social security program which definitely reduces per capita income growth and harms future generations is contemplated by altruistic individuals even if non-altruistic individuals disapprove it.     

HOW ARE UPSTREAM TRANSFERS DETERMINED? NEW EVIDENCE FROM SOUTH KOREA

Exploiting new data from South Korea on intergenerational transfers made in regular and irregular intervals, I examine what determines and motivates upstream transfers. The results indicate that regular transfers are largely motivated by altruism, but that irregular and in‐kind transfers are unresponsive to parental economic need. The findings imply that public old‐age support would crowd out regular transfers to some extent. It is also found that roles are divided among siblings in supporting the elderly parents: the eldest married son is likely to transfer regularly and the most, whereas the other siblings transfer irregularly or in‐kind.     

Intrinsic Motivations of Public Sector Employees: Evidence for Germany

We examine differences in altruism and laziness between public sector employees and private sector employees. Our theoretical model predicts that the likelihood of public sector employment increases with a worker's altruism, and increases or decreases with a worker's laziness depending on his altruism. Using questionnaire data from the German Socio‐Economic Panel Study, we find that public sector employees are significantly more altruistic and lazy than observationally equivalent private sector employees. A series of robustness checks show that these patterns are stronger among higher educated workers; that the sorting of altruistic people to the public sector takes place only within the caring industries; and that the difference in altruism is already present at the start of people's career, while the difference in laziness is only present for employees with sufficiently long work experience.     

Donor Altruism and the Transfer Paradox in an Overlapping Generations Model

This paper examines the transfer problem between two countries when a donor exhibits altruistic utility toward a recipient in a one‐sector overlapping generations model. We demonstrate that if the donor has a larger marginal propensity to save than the recipient, the donor's altruism never contributes to donor enrichment irrespective of the degree of the donor's altruism. Donor enrichment occurs only if the donor has a smaller marginal propensity to save and a sufficiently high level of altruism. These findings imply that the altruism of a donor toward a recipient does not necessarily explain the motivation to voluntarily provide a transfer.     

Economic growth and endogenous intergenerational altruism

The recent literature on the endogenous formation of preferences has emphasized that while some preferences are more conducive to growth than others, economic growth also contributes to the formation of particular tastes [Becker, Gary S. (1996): Accounting for Tastes, Cambridge, Ma.: Harvard University Press]. In this paper, we construct a neoclassical growth model where intergenerational altruism can be endogenously reinforced and entails costly sacrifices on the part of parents to acquire such trait. While the incentives to acquire altruistic traits depend on the economic conditions, in turn altruism determines the level of intergenerational bequests and ultimately the pace of capital accumulation and economic growth. It is shown that intergenerational transfers are driven by a natural degree of altruism at earlier stages of economic growth. Once individuals have satisfied their own physiological constraint in the course of economic development, they devote resources to shaping their altruistic preferences, increasing their social degree of altruism above its natural level. This in turn increases the share of intergenerational transfers and speeds up economic growth.     

How do altruistic parental transfers affect the welfare gains of marriage?

This paper analyses the effects of altruistic parental transfers on the welfare gains of marriage. To that end, it develops a sequential game which, in a first stage, determines the optimum level of the transfer between the altruistic donor (the parent) and the recipient (the daughter/son). In the second stage, the levels of consumption and provision of a family good are deduced by way of a Nash bargaining solution, with the threat point being represented by divorce. We find that the degree of altruism of the recipient has a null effect on the gains in welfare derived from the marriage by the recipient’s spouse, and a positive effect on those derived by the recipient. Additionally, the degree of altruism of the donor has a positive effect on the gains in welfare derived from the marriage by the recipient’s spouse, and an ambiguous effect on those derived by the recipient.     

私人代际转移动机研究*——基于CHARLS的实证分析

经济学家对代际的物质和时间转移的兴趣引发了人们对转移动机的研究与思考。传统的解释有两种：利他主义与交换互惠。本文利用CHARLS数据，对中国的代际转移动机进行实证研究，发现受传统文化的影响，中国的代际转移更多地表现出利他主义倾向，同时示范效应也有所体现，即个体在照顾父母的同时也在教育自己的孩子赡养父母，以期退休后得到子女的照顾。相对西方国家来说，我国养老金体系的压力较小。但随着老龄化的加剧和生育率的下降，为了缓解未来独生子女赡养双方父母的压力，应当在减少挤出私人代际转移的基础上完善社会保障体系，提高我国老年人口的生活质量。     

Social welfare,parental altruism,and inequality

When individuals have heterogeneous and persistent degrees of one‐sided parental altruism, inequality may grow large and standard social welfare criteria are problematic. If the planner selects Pareto optimal allocations based on some target level of consumption inequality, the solution implies an aggregation of individuals' utilities that is strongly asymmetric and biased toward the less altruistic dynasties. If instead, the planner uses a symmetric utilitarian criterion, the solution is likely to generate a large degree of long‐run inequality (even relative to laissez‐faire competitive equilibria), it can only be decentralized with negative estate taxes or lower bounds on bequests, and it is time‐inconsistent.     

How to identify trust and reciprocity

This paper uses a three-games (or triadic) design to identify trusting and reciprocating behavior. A large literature on single-game trust and reciprocity experiments is based on the implicit assumption that subjects do not have altruistic or inequality-averse other-regarding preferences. Such experimental designs test compound hypotheses that include the hypothesis that other-regarding preferences do not affect behavior. In contrast, experiments with the triadic design do discriminate between transfers resulting from trust or reciprocity and transfers resulting from other-regarding preferences that are not conditional on the behavior of others. Decomposing trust from altruism and reciprocity from altruism or inequality aversion is critical to obtaining empirical information that can guide the process of constructing models that can increase the empirical validity of game theory.     

Public pensions with endogenous fertility: comment on Nishimura and Zhang

Nishimura and Zhang (N-Z) extend the model of public pensions in Veall to allow for endogenous fertility. Their analysis rests upon the assumption that children are altruistic toward their parents and that pension entitlements are conditional upon the number of taxpayers that the beneficiary has managed to rear. The author criticizes these assumptions and demonstrates the implications of doing away with them. Introducing a social security system with a rate of tax equal to the socially optimal transfer from the young to the old will have no effect upon fertility, but will raise lifetime consumption and welfare. The implications of reversing the direction of altruism or doing away with altruism altogether are also discussed. The N-Z model is looked at in synthesis, followed by an alternative formulation.     

Behavioral Mechanism Design

This paper studies the mechanism design problem for the class of Bayesian environments where agents do care for the well‐being of others. For these environments, we fully characterize interim efficient (IE) mechanisms and examine their properties. This set of mechanisms is compelling, since IE mechanisms are the best in the sense that there is no other mechanism which generates unanimous improvement. For public good environments, we show that these mechanisms produce public goods closer to the efficient level of production as the degree of altruism in the preferences increases. For private good environments, we show that altruistic agents trade more often than selfish agents.     

Optimal contracting with altruism and reciprocity

Motivated by the recent experimental evidence on altruistic behavior, we study a simple principal–agent model where each player cares about other players' utility, and may reciprocate their attitude towards him. We show that, relative to the selfish benchmark, efficiency improves when players are altruistic. Nevertheless, in contrast to what may be expected, an increase in the degree of the agent's altruism as well as a more reciprocal behavior by players has ambiguous effects on efficiency. We also consider the effects of the presence of spiteful players and discuss how monetary transfers between players depend on their degrees of altruism and spitefulness.