Conditional Cooperation and Voluntary Contributions to Public Goods

We compare a partners condition , where the same small group of subjects plays a repeated public good game, to a strangers condition , where subjects play this game in changing group formations. From the first period onward, subjects in the partners condition contribute significantly more to the public good than subjects in the strangers condition. Strangers' contributions show continual decay, while partners' contributions fluctuate on a high level prior to decreasing in the final periods. We interpret subjects' behaviour in terms of conditional cooperation which is characterized by both future-oriented and reactive behaviour.
JEL classifications: C 91; C 92; H 41     

Getting the Ball Rolling: Voluntary Contributions to a Large-Scale Public Project

This paper examines dynamic voluntary contributions to a large‐scale project. In equilibrium, contributions are influenced by the interplay of two opposing incentives. While agents prefer to free ride on others for contributions, they also prefer to encourage others to contribute by increasing their own. Main findings of the paper are that (1) agents increase their contributions as the project moves forward; (2) as additional agents join the group, existing agents increase their contributions in the initial stages of the project while reducing them in the stages close to completion; (3) groups that are formed by more patient agents and that undertake larger projects tend to be larger; and (4) groups that rely on voluntary contributions tend to be too small compared to the social optimum. The empirical evidence on contributions to open‐source software projects provides partial support for these findings.     

Economies with Multiple Public Projects

This paper discusses a general equilibrium model of an economy with multiple separately provided public projects. We assume an additively separable cost structure and consider valuation equilibria with separated finance systems, one for each collective good. Under non-Euclidean representation we show the decentralization of Pareto efficient allocations by valuation equilibria and the equivalence of the core and the set of nonnegative valuation equilibria. In the case of Euclidean representation, every Pareto efficient allocation is shown to be supported as an affine valuation equilibrium that is characterized by a personalized price per unit of each public good and a personalized lump sum tax or subsidy. These results complement and clarify already established insights into Lindahl pricing and its generalizations developed in the literature.     

Voluntary Contributions to a Mutual Insurance Pool

We study mutual‐aid games in which individuals choose to contribute to an informal mutual insurance pool. Individual coverage is determined by the aggregate level of contributions and a sharing rule. We analyze theoretically and experimentally the (ex ante) efficiency of equal and contribution‐based coverage. The equal coverage mechanism leads to a unique no‐insurance equilibrium while contribution‐based coverage develops multiple equilibria and improves efficiency. Experimentally, the latter treatment reduces the amount of transfers from high contributors to low contributors and generates a “dual interior equilibrium.” That dual equilibrium is consistent with the co‐existence of different prior norms which correspond to notable equilibria derived in the theory. This results in asymmetric outcomes with a majority of high contributors less than fully reimbursing the global losses and a significant minority of low contributors less than fully defecting. Such behavioral heterogeneity may be attributed to risk attitudes (risk tolerance vs risk aversion) which is natural in a risky context.     

Weak Moral Motivation Leads to the Decline of Voluntary Contributions

We develop a model that accounts for the decay of the average contribution observed in experiments on voluntary contributions to a public good. The novel idea is that people's moral motivation is “weak.” Their judgment about the right contribution depends on observed contributions by group members and on an intrinsic “moral ideal.” We show that the assumption of weakly morally motivated agents leads to the decline of the average contribution over time. The model is compatible with persistence of overcontributions, variability of contributions (across and within individuals), the “restart effect” and the observation that the decay in contributions is slower in longer games. Furthermore, it offers a rationale for conditional cooperation.     

Dynamic Voluntary Contribution to a Public Project

We consider the dynamic private provision of funds to projects that generatepublic benefits. Participants have complete information about theenvironment, but imperfect information about individual actions: each periodthey observe only the aggregate contribution. Each player may contribute anyamount in any period before the contributing horizon is reached. All Nashequilibrium outcomes are characterized. In many cases they are all alsoperfect Bayesian equilibrium outcomes. If the horizon is long, if theplayers' preferences are similar, and if they are patient or the periodlength is short, perfect Bayesian equilibria exist that essentially completethe project. In some of them the completion time shrinks to zero with theperiod length—efficiency is achieved in the limit.     

Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information

We characterize generally the Bayesian Nash equilibria of a voluntary contributions public goods game for two consumers with private information.The two consumers simultaneously make voluntary contributions to the public good, and the contributions are refunded if the total falls short of the cost of the public good. Several families of equilibria (step‐function, regular and semi‐regular) are studied. Necessary and sufficient conditions for regular and semi‐regular equilibrium allocations to be interim incentive efficient are derived. In the uniform distribution case we prove (i) the existence of an open set of incentive efficient regular equilibria when the cost of production is large enough and (ii) the existence of an open set of incentive efficient semi‐regular equilibria when the cost of production is low enough. Step‐function equilibra are proved to be interim incentive inefficient.     

Public Good Contributions Between Communities

The four fundamental determinants of voluntary contributions to public goods are taste, community size, wealth, and wealth distribution. This paper argues that for policy purposes it is important to discriminate between the four hypotheses. To do this, it is necessary to consider the comparative static effects of the above determinants not only on total contribution, but also on per capita contribution and the participation rate. Furthermore, just as members of a smaller community would contribute more than their identical counterparts in a larger community, we show that members of a community that has more poor members would also contribute more than their identical counterparts in a community that has more rich members.     

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.     

Value Orientations, Income and Displacement Effects, and Voluntary Contributions

Identifying the value orientations of subjects participating in market or non-market decisions by having them participate in a ring game may be helpful in understanding the behaviour of these subjects. This experiment presents the results of changes in the centre and the radius of a value orientations ring in an attempt to discover if the measured value orientations exhibit income or displacement effects. Neither significant income effects nor displacement effects are identified. An external validity check with a voluntary contribution game provides evidence that value orientations from rings centred around the origin of the decision-space explain significant portions of voluntary contributions while value orientations from displaced rings do not.     

Finitely Repeated Voluntary Provision of a Public Good

This paper theoretically explores the voluntary provision of a public good when either one of the following holds: (i) agents’ utility is the sum of their monetary earnings and a nonmaterial component, or (ii) agents’ exhibit satisficing behavior. We show that a small degree of either nonmaterial payoffs or satisficing behavior can generate large contributions in a finitely repeated game, even if the incentive to free‐ride on others’ contributions calls for negligible public good provision in the static game. The equilibrium is characterized by a sharp decline in contributions toward the end of the game. Several comparative results regarding group size and technology are consistent with laboratory data obtained in experimental studies. The model also predicts the restart effect observed in previous experiments.     

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.     

A Case for Bundling Public Goods Contributions

We extend the model of voluntary contributions to multiple public goods by allowing for bundling of the public goods. Specifically, we study the case where agents contribute into a common pool which is then allocated toward the financing of two pure public goods. We explore the welfare implications of allowing for such bundling vis‐à‐vis a separate contributions scheme. We show that for high income inequality or for identical preferences among agents bundling leads to higher joint welfare. Interestingly, a welfare improvement can in some cases occur despite a decrease in total contributions. On the contrary, when agents are heterogenous, for low income inequality bundling can lead to lower total contributions and may decrease welfare compared to a separate contribution scheme. Our findings have implications for the design of charitable institutions and international aid agencies.     

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.     

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.     

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.     

公共投资建设项目决策中的公众参与问题研究

公众参与在整个公共投资建设项目决策中起到一种释放压力和监督纠偏的作用,尤其是对于大型公共投资建设项目,如水电站、桥梁、机场等重大基础设施建设项目,公众参与不仅可以减少因市场缺陷和政府失灵给项目建设带来的各种干扰,对缓解项目决策中出现的种种矛盾和负面效应,都有积极的作用。旨在通过分析国家为应对金融危机而公布的4万亿投资计划的构成,明确公众参与对于有效发挥投资带动作用,促进经济稳定增长的重要性,同时针对我国公众参与的发展现状,试图提出个人的建议和看法。     

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.     

Subsidies to the Arts with Multiple Public Donors*

This paper develops a theoretical framework for analyzing public funding for arts markets in which both a national-level arts council and local governments are potential donors. While the arts council is assumed to allocate grants to maximize the expected number of theatres achieving an ‘acceptable’ level of output, the local government is only concerned to maximize its total budget from local tax revenues. Despite this objective, a rationale for local governments to give grants is derived. The total grant allocation to any institution arises as an equilibrium outcome to a game played between the arts council and the relevant local government. Theatre managements take account of this allocation process in making their output decisions. Several empirical propositions are derived.     

How (Not) to Foster Innovations in Public Infrastructure Projects*

The government wants an infrastructure‐based public service to be provided. First, the infrastructure has to be built; subsequently, it has to be operated. Should the government bundle the building and operating tasks in a public–private partnership? Or should it choose traditional procurement (i.e., delegate the tasks to different firms)? Each task entails unobservable investments to come up with innovations. It turns out that, depending on the nature of the innovations, bundling can either stimulate or discourage investments. Moreover, we find that if renegotiation cannot be prevented, public–private partnerships might lead the government to deliberately opt for technologically inferior projects.