Group size paradox and public goods

In an economy with voluntarily provided public goods and private product varieties, and a general class of CES preferences, it is shown that aggregate public good contribution follows an inverted-U pattern with respect to group size when private and public goods are substitutable in preferences. With complementarity, however, aggregate provision grows monotonically with group size.     

Core equivalence with congested public goods

Summary This paper examines a model of an infinite production economy with a finite number of types of agents andsemi- public goods, which are subjected to crowding and exclusion. The utility of an agent depends not only on the vector of public commodities produced by the coalition to which she belongs, but also on the mass of agents of her type who are the members of this coalition. The main purpose of the paper is to derive necessary and sufficient conditions on the local degrees of congestion which would guarantee the equivalence between the core and the set of equal treatment Lindahl equilibria. We prove that this equivalence holdsif and only if there are constant returns to group size for each type of agents. It implies that linearity of each agent's congestion function with respect to the mass of the agents of her own type is necessary for the core equivalence to hold.The final version of this paper was written while Shlomo Weber was visiting the Technical University of Dresden as the Fellow of the Alexander von Humboldt Foundation, whose support is gratefully acknowledged. The authors are grateful to Peter Meyer, Nicholas Yannelis and the anonymous referees for useful remarks and suggestions.     

Location and ownership of public goods

We introduce location choice for the public good in the property rights framework. We find that it can be optimal to separate location from ownership.     

Local public goods, inter-regional transfers and private information

Suppose that the centre wishes to make transfers between member states of a federation to reduce inequality. However, it lacks precise information concerning the cost differences that are responsible for the initial income inequality. We examine the implications of asymmetric information for the design of the transfer scheme. We show that if member states’ inherent cost levels as local public good providers take discrete values, the first best, or ‘complete information’, transfer scheme may or may not violate incentive compatibility. If inherent cost is a continuous random variable, such a scheme certainly violates incentive compatibility. We also explore the possibility of binding participation constraints. In our model, a binding incentive compatibility constraint leads to a reduction in effort devoted to cost reduction, and a binding participation constraint will also lead to a violation of Samuelson's optimality condition for public good provision.     

The public and private provision of pure public goods and the distortionary effects of income taxation: a political economy approach

Abstract .  A pure public good is provided by the government and the voluntary contributions of two types of households. The government finances its contribution by means of income taxation. The latter has distortionary effects. A third type of household never makes contributions. We analyse the effects of changes in the income tax rate on (a) the provision of the public good, (b) the private contributions of the households, and (c) changes in the distribution of income and welfare between contributing and non-contributing households. We derive a simple and testable condition under which the lowering of the income tax entails a Pareto improvement.     

Efficiency, monotonicity and rationality in public goods economies

Summary. In economies with public goods, we identify a necessary and sufficient condition for the existence of cost monotonic, Pareto optimal and individually rational mechanisms. These exist if and only if the preferences of the agents satisfy what we call the equal ordering property. We also show that when this condition holds the egalitarian equivalent correspondence is the only cost monotonic selection from the core of the economy. Furthermore, it is unambiguous in the sense that the agents are indifferent among all the allocations in it. Received: February 26, 1996; revised version: January 31, 1997     

Optimal ownership of public goods reconsidered

Consider a non-governmental organization (NGO) that can invest in a public good. Should the government or the NGO own the public project? In an incomplete contracting framework with split-the-difference bargaining, Besley and Ghatak (2001) argue that the party who values the public good most should be the owner. We demonstrate the robustness of their insight when the split-the-difference rule is replaced by the deal-me-out solution. Our finding is in contrast to the private good results of Chiu (1998) and De Meza and Lockwood (1998), who show that the optimal ownership structure crucially depends on whether the split-the-difference rule or the deal-me-out solution is used.     

The benefits of voluntary leadership in experimental public goods games

We study the effects of voluntary leadership in experimental public goods games when each group member can volunteer to contribute before the other members. We find that voluntary leadership increases contributions significantly, compared to a treatment where leadership is enforced exogenously.     

Decentralization of Pareto optima in economies with public projects,nonessential private goods and convex costs

Summary In the theory of economies with public goods one usually considers the case in which private goods are essential, i.e., each agent receives a fixed minimum level of utility if he consumes no private goods, irrespective of the public goods consumed. This paper develops the second welfare theorem for economies with public projects and possibly inessential private goods. As a corollary we also derive conditions under which valuation equilibria exist.hank Dolf Talman and an anonymous referee for many useful remarks and annotations of a previous draft of this paper.     

Learning dynamics for mechanism design: An experimental comparison of public goods mechanisms

In a repeated-interaction public goods economy, incomplete information and dynamic behavior may affect the realized outcomes of mechanisms known to be efficient in a complete information one-shot game. An experimental test of five public goods mechanisms indicates that subjects with private information appear to best respond to recent observations. This provides predictions about which mechanisms will generate convergence to their efficient equilibrium allocations. These predictions match the experimental result that globally stable efficient mechanisms realize the highest efficiency in practice. The simplicity of the suggested best response model makes it useful in predicting stability of mechanisms not yet tested.     

Reliability of individual valuations of public and private goods: Choice consistency, response time, and preference refinement

We examined the reliability of a large set of paired comparison value judgments involving public goods, private goods, and sums of money. As respondents progressed through a random sequence of paired choices they were each given, their response time decreased and they became more consistent, apparently fine-tuning their responses, suggesting that respondents tend to begin a hypothetical value exercise with relatively imprecise preferences and that experience in expressing preference helps reduce that imprecision. Reliability was greater for private than for public good choices, and greater for choices between a good and a monetary amount than for choices between two goods. However, the reliability for public good choices was only slightly lower than for the private goods.     

Decentralizing development: Allocating public goods via competition

Decentralizing the allocation of public goods by giving funds directly to communities takes advantage of local information concerning needs, but leaves funds open to misuse or capture by local elites. A large scale development project in Indonesia attempts to overcome this downside of decentralized allocation by having communities compete locally for block grants. Competition weeds out less efficient projects. Increasing the number of villages bidding by 10% leads to a 1.8% decline in road construction costs. Increased community participation in project planning also leads to better outcomes.     

Public goods in networks

This paper considers incentives to provide goods that are non-excludable along social or geographic links. We find, first, that networks can lead to specialization in public good provision. In every social network there is an equilibrium where some individuals contribute and others free ride. In many networks, this extreme is the only outcome. Second, specialization can benefit society as a whole. This outcome arises when contributors are linked, collectively, to many agents. Finally, a new link increases access to public goods, but reduces individual incentives to contribute. Hence, overall welfare can be higher when there are holes in a network.     

Public goods and optimal paternalism under present-biased preferences

This paper concerns the provision of a state-variable public good in a two-type model under present-biased consumer preferences. The preference for immediate gratification facing the high-ability type weakens the incentive to adjust public provision in response to the self-selection constraint.     

Public goods in directed networks

We study the provision of a public good in a social network where links are directed, i.e., the information flows one way. Our results relate, through stochastic dominance, the equilibrium outcome of such a process with the out-degree distribution of the network.     

Weak links, good shots and other public good games: Building on BBV

We suggest an alternative way of analyzing the canonical Bergstrom-Blume-Varian model of non-cooperative voluntary contributions to a public good that avoids the proliferation of dimensions as the number of players is increased. We exploit this approach to analyze models in which the aggregate level of public good is determined as a more general social composition function of individual gifts — specifically, as a CES form — rather than as an unweighted sum. We also analyze Hirshleifer's weakest-link and best-shot models. In each case, we characterize the set of equilibria, in some cases establishing existence of a unique equilibrium as well as briefly pointing out some interesting comparative static properties. We also study the weakest-link and best-shot limits of the CES composition function and show how the former can be used for equilibrium selection and the latter to establish that equilibria of some better-shot games are identical to those of the much simpler best-shot game.     

Democracy,visibility and public good provision

We examine the role of visibility in influencing government resource allocation across a multiplicity of public goods. We show that a “visibility effect” distorts governmental resource allocation such that it helps explain why governments neglect provision of essential public goods, despite their considerable benefits. We show that greater democratization widens the gap in resource allocation between more visible (such as famine prevention) versus less visible (such as malnutrition prevention) public goods, up to an intermediate level of democracy. Beyond this level, this gap decreases. Furthermore, public goods with low visibility are prone to multiple equilibria in resource allocation, with voter expectations being shown to be important.     

Democratic public good provision

This paper analyzes an overlapping generation model of redistribution and public good provision under repeated voting. Expenditures are financed through age-dependent taxation that distorts human capital investment. Taxes redistribute income both across skill groups and across generations. We focus on politico-economic Markov equilibria and contrast these with the Ramsey allocation under commitment. The model features indeterminate equilibria, with a key role of forward-looking strategic voting. Due to the lack of commitment to future policies, the tax burden may be on the wrong side of the dynamic Laffer curve. Moreover, restrictions on government policies can in some cases be welfare improving.     

Nonprofits and public good provision: A contest based on compromises

Two competing nonprofits with ideologically distinct missions compete for donor funding to provide an indivisible public good in a population with heterogeneous preferences. This paper examines the extent to which (average) public values are undermined and nonprofits’ ideology compromised in a contractual game in which the right to provide the public good is the outcome of competition between nonprofits. We also scrutinize the roles of (i) cooperative versus competitive contracting, (ii) multiple public goods, (iii) enforceability of actions and (iv) observability of nonprofit costs in determining the equilibrium terms of the contract. In each case, the intensity of the ideological divide between the donor and the nonprofits jointly impact the degree to which compromises are made in terms of both the public's and nonprofit's missions, and the ability on the part of the donor to reap double (cost-saving and strategic) financial gains.