Dynamic Voluntary Provision of Public Goods: A Generalization

In this note we examine if the proposition offered by Fershtman and Nitzan (1991) and Wirl (1996) in the context of a dynamic voluntary provision model with a linear production function can be generalized to a more general CES formulation. By comparing the steady-state stocks of a public good in open-loop and feedback Nash equilibria with that under the cooperative solution, we demonstrate that their ranking among the steady-state stocks is indeed preserved under the CES framework.     

The Asymptotic Voluntary Provision of the Pure Public Goods

This paper analyzes the voluntary provision of the pure public good in a sequence of finite economies. The boundedness of this provision is established under very weak conditions. The Cournot–Nash provision of the public good is bounded. In contrast, the Lindahl provision is unbounded but the proportion of private good devoted to its production may be infinitesimal. Several examples are provided to relate this paper to the literature.     

Endogenous Move Structure and Voluntary Provision of Public Goods: Theory and Experiment

In this paper, we examine voluntary contributions to a public good, embedding Varian's (1994) voluntary contribution game in extended games that allow players to choose the timing of their contributions. We show that predicted outcomes are sensitive to the structure of the extended game, and also to the extent to which players care about payoff inequalities. We then report a laboratory experiment based on these extended games. We find that behavior is similar in the two extended games: subjects avoid the detrimental move order of Varian's model, where a person with a high value of the public good commits to a low contribution, and instead players tend to delay contributions. These results suggest that commitment opportunities may be less damaging to public good provision than previously thought.     

Voluntary Provision of Public Goods and Technology

This paper highlights issues in the theory of voluntary provision of public goods, building on the investigation by Peacock in connection with the contributions by Coase and Buchanan. Our goal is twofold. We first draw attention to the early literature investigating the provision of public goods and to the successive theoretical analysis. We then focus on the impact of technology on supply and demand. Examples of different types of public goods are provided, with special attention to the cultural sector, to investigate whether and how technology affects the efficiency and the effectiveness of the related public goods provision. The implementation and exploitation of technological advancements are investigated in view of the role of different actors (public, private) at different levels of government.     

Heterogeneity and the Voluntary Provision of Public Goods

We investigate the effects of heterogeneity and incomplete information on aggregate contributions to a public good using the voluntary contribution mechanism. The non-linear laboratory environment has three-person groups as partners under varying conditions of information and communication. Bergstrom, Blum and Varian predict that increasing heterogeneity will have no effect on aggregate contributions in a no-communication environment. Ledyard conjectures a positive effect of incomplete information, a negative effect of heterogeneity, and a positive interaction of heterogeneity and incomplete information. We find that incomplete information has a small but significant negative effect. Heterogeneity has a positive effect on aggregate contributions, but its effects interact unexpectedly with communication. In a no-communication environment, heterogeneity in two dimensions (endowment and preferences) increases contributions substantially while heterogeneity in a single dimension (endowment or preferences) has little effect. In the communication environment we find the reverse. We also find a positive interaction between heterogeneity and incomplete information. Thus we reject the Bergstrom, Blume and Varian invariance result and provide mixed evidence on Ledyard's conjectures.     

Income Heterogeneity in the Voluntary Provision of Dynamic Public Goods

This paper explores the effect of income inequality on the voluntary contributions to a dynamic public good. We find that income heterogeneity has a significant impact both on contributions and welfare. The results show that the often observed decay of cooperation does not carry over to the asymmetric environment considered in this study. Our results also suggest that subjects in each income class make different contribution amounts in an absolute sense and give the same percentage of their income. Moreover, we find that contributions of individuals with the same endowment are sensitive to how heterogeneous the environment is.     

公共品私人自愿提供决策的实验研究

本文利用实验数据对公共品私人自愿提供机制的多个经典特征事实进行了实证检验,其结论基本支持诸如"公共品私人自愿供给的存在性"、"捐献率随重复捐献次数的增加而有下降的趋势"和"公共品投资的私人边际回报率和交流的正效应"等特征事实.同时,实验还得到了一些新的发现,如"期初平均捐献水平较低"、"口头协议效果显著"、"经验分享存在积极作用"和"小组的合作程度存在巨大的差异"等.这些结论说明通过合理的制度设计和安排可以达到部分公共品由私人自愿提供的目的.     

Collective Choice and Voluntary Provision of Public Goods*

Some public goods are provided entirely with private contributions, others with a mixture of public and private funding, and still others are entirely publicly funded. In order to study this variation, a model of dual provision is developed that endogenizes public and private funding. Households vote over an income tax that finances public supply of the good and on whether to permit private contributions. While permitting private contributions may lead to a reduction in total provision, a majority always favors permitting private contributions. Results are developed for small and large economies, and the relevance of nonexcludability and noncongestion are investigated.     

The Distributional Impact of Public Goods Provision: A Veil of Ignorance Approach

The "veil of ignorance" approach is used to consider the redistribution implied by different tax-benefit systems. Assuming a (hypothetical) ex-ante situation in which individuals lack any knowledge about their future income, redistribution from rich to poor can be seen as a form of insurance. Taking redistribution and insurance as synonymous, the analysis derives cases of redistributionally neutral systems of taxation and public good provision.
JEL classification : H 23; D 30;, H 41     

Dynamic Voluntary Provision of Public Goods and Optimal Steady-State Subsidies

This paper examines a differential game model of voluntary provision of a public good in which private agents' contributions accumulate over time and derives subsidy rules that achieve the socially efficient steady state. It is shown that the optimal subsidy rule is a simple one when agents use the open‐loop strategy, while under Markovian strategies it intricately depends on the parameters of the economy.     

Voluntary Participation and Provision of Public Goods in Large Finite Economies

We consider a public good provision game with voluntary participation. Agents participating in the game provide a public good and pay the fees according to a mechanism (allocation rule), while nonparticipants can free‐ride on the participants. We examine how the equilibrium public good provision level is affected by enlarging the population of an economy. We introduce a condition for an allocation rule, the asymptotic uniform continuity in replication (AUCR), which requires that small changes in the population must yield only small changes in the public good provision and which is satisfied by many mechanisms. We show that under AUCR, the equilibrium level of the public good converges to zero as the economy is replicated in the sense of Milleron.     

A Dynamic Tiebout Theory of Voluntary vs. Involuntary Provision of Public Goods

This paper considers a dynamic model of Tiebout-like migration between communities that utilize distinct allocation procedures for public goods. At issue is whether voluntary or compulsory procedures are more likely to prevail over time. We model infinitely lived individuals who make repeated, sequential location decisions over one of two communities. Each community uses a distinct mechanism for allocating public goods. The first is one in which contributions are given voluntarily by the citizenry of the community. The second is a compulsory scheme by which individuals are taxed proportionately to wealth with the tax determined by a majority vote. Opportunities to accumulate wealth exist via accumulation of public capital.
The Markov Perfect equilibria of the dynamic game are studied. Our main result shows that when accumulated wealth converges to a steady state, individuals' locational choices eventually "select" the involuntary provision mechanism. This holds despite the fact that unanimous location in the voluntary provision community may in many cases remain as a Nash equilibrium of the static game each period. We also describe conditions under which voluntary provision survives. These conditions require that accumulation of capital fails to decrease wealth dispersion over time. The results are shown to be consistent with findings relating inequality to school choice.     

Social Norms and Private Provision of Public Goods

The formation of social norms for voluntary contributions to a public good is analyzed in a game in which people have preferences for private consumption, a public good, and social approval. Each person chooses to be one of the two types: a contributor or a non‐contributor. Thereafter, each person meets people who can observe his type. A non‐contributor feels disapproval, whereas a contributor feels approval if he believes that a contributor observes his type. The game has two asymptotically stable states: one in which everybody is a contributor, and one in which nobody is a contributor. Governmental subsidization of the public good can move the society to the former state, whereas a governmental contribution to the public good can move the society to the latter. Indeed, this crowding in or crowding out prevails even after policy reversal.     

Nash as an Organizing Principle in the Voluntary Provision of Public Goods: Experimental Evidence

Experiments are reported that add to the growing literature on the voluntary provision of public goods. Information conditions are manipulated to address whether early findings of above-equilibrium contributions to a public good are a result of complete information regarding the symmetry of the game. No significant information effect was found. Further, by examining designs with an interior Nash equilibrium, this research suggests that the nonzero contributions observed in the previous dominant strategy environments, where the prediction was a zero level of provision of the public good, were not simply transitional errors as the system converged to a boundary equilibrium.     

Optimal Provision of Public Goods: A Synthesis*

The standard approach to the optimal provision of public goods highlights the importance of distortionary taxation and distributional concerns. A new approach neutralizes distributional concerns by adjusting the income tax schedule. We demonstrate that both approaches are derived from the same basic formula. We also take the new approach further by deriving an intuitive formula for the optimal level of public goods, without imposing strong assumptions on preferences. This formula shows that distortionary taxation has a role to play, as in the standard approach. However, the main determinants of optimal provision are different, and the modified Samuelson rule is likely to lead to underprovision.     

中国公共品自愿供给实证分析--以中国福利彩票筹资为例

福利彩票是中国公共品自愿供给的一种有效形式，现阶段有效运用福利彩票自愿公共品的条件主要是优惠的管理政策和完善的发行技术，人均收入水平及其差距对福利彩票发行影响较小。中国福利彩票自愿供给公共品对社会经济产生了规模效应、财政效应和社会公平效应。     

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.     

The Private Provision of Public Goods under Uncertainty: A Symmetric-Equilibrium Approach

Various studies have examined whether increased uncertainty about the non‐Nash response of others to an individual's voluntary contribution to a public good affects that individual's contribution so as to mitigate the free‐rider problem. We extend this single‐agent approach to the analysis of a symmetric equilibrium. We provide conditions on group size and endogenous relative risk aversion that imply increased equilibrium contributions in response to greater uncertainty about the productivity of each individual's contribution to the actual level of the public good. These results enable us to broaden the circumstances in which the theory predicts that increased uncertainty reduces free riding.     

农村社区公共物品的农户自愿供给——基于声誉理论的分析

农户的声誉不仅能给农户带来直接效用,它还具备信息效应与资本效应,对农户参与农村社区公共物品供给博弈的均衡路径产生重要影响。在独立博弈下,声誉的直接效用能使农户采取合作行动;在关联博弈和重复博弈中,声誉的信息及资本效应对农户的偷懒行为有很强的约束,将导致博弈进入合作均衡。因此基于声誉损益的考虑,由农户自愿供给农村社区内的公共物品会是一个有效的结果。     

Local Residential Sorting and Public Goods Provision: A Classroom Demonstration

This classroom exercise illustrates the Tiebout (1956) hypothesis that residential sorting across multiple jurisdictions leads to a more efficient allocation of local public goods. The exercise places students with heterogeneous preferences over a public good into a single classroom community. A simple voting mechanism determines the level of public good provision in the community. Next, the classroom is divided in two, and students may choose to move between the two smaller communities, sorting themselves according to their preferences for public goods. The exercise places cost on movement at first, then allows for costless sorting. Students have the opportunity to observe how social welfare rises through successive rounds of the exercise, as sorting becomes more complete. They may also observe how immobile individuals can become worse off because of incomplete sorting when the Tiebout assumptions do not hold perfectly.