The provision and pricing of excludable public goods: Ramsey–Boiteux pricing versus bundling

This paper studies the relation between Bayesian mechanism design and the Ramsey–Boiteux approach to the provision and pricing of excludable public goods. For a large economy with private information about individual preferences, the two approaches are shown to be equivalent if and only if, in addition to incentive compatibility and participation constraints, the final allocation of private-good consumption and admission tickets to public goods satisfies a condition of renegotiation proofness. Without this condition, a mechanism involving mixed bundling, i.e. combination tickets at a discount, is superior.     

One-sided private provision of public goods with implicit Lindahl pricing

We consider a sequential game in which one player produces a public good and the other player can influence this decision by making an unconditional transfer. An efficient allocation requires the Lindahl property: the sum of the two (implicit) individual prices has to be equal to the resource cost of the public good. Under mild conditions this requires a personal price for the providing player that lies below half of the resource cost. These results can, for example, justify high marginal taxes on wages of secondary earners.     

Dynamic provision of public goods

Summary. This paper deals with implementing the efficient level of public good provision in a dynamic setting. First, we prove that when the good is provided in several stages, no sequence of Groves' mechanisms guarantees that agents will reveal their true valuations as a dominant strategy. The contribution of this paper is the characterization of those mechanisms which guarantee truthful revelation in this environment.Received: 30 December 2001, Revised: 27 March 2003, JEL Classification Numbers: D61, D78, D82, H41.This paper has greatly benefited from the ideas and comments of Sandro Brusco, Luis Corchón and Roberto Burguet. I would also like to thank José Alcalde, Luis J. Alías, Javier López-Cuñat, Juan Vicente Llinares, Ashley Piggins, Juan Perote and Antonio Quesada for very helpful suggestions. I am also grateful to an anonymous referee whose suggestions aided the quality of exposition in the paper and led me to Proposition 4.     

Serial cost sharing of excludable public goods: general cost functions

Summary. A group of individuals meet to share the cost and determine output allocations of a partial-excludable public good. We demonstrate that, for general cost functions and preferences that satisfy the Spence-Mirlees sorting condition, the serial cost-sharing formula (Moulin, 1994) has remarkable incentive properties. First, a direct economic mechanism that uses the serial formula is coalition strategy-proof, envy-free and satisfies the stand-alone property. Second, the serial mechanism involves partial exclusion, which is important for the reduction of the free-rider problem. Received: June 10, 1996; revised version; February 11, 1997     

On the private provision of public goods

We consider a general model of the non-cooperative provision of a public good. Under very weak assumptions there will always exist a unique Nash equilibrium in our model. A small redistribution of wealth among the contributing consumers will not change the equilibrium amount of the public good. However, larger redistributions of wealth will change the set of contributors and thereby change the equilibrium provision of the public good. We are able to characterize the properties and the comparative statics of the equilibrium in a quite complete way and to analyze the extent to which government provision of a public good ‘crowds out’ private contributions.     

An experimental comparison of collective choice procedures for excludable public goods

This paper compares three collective choice procedures for the provision of excludable public goods under incomplete information. One, serial cost sharing (SCS), is budget balanced, individually rational, anonymous and strategy proof. The other two are “hybrid” procedures: voluntary cost sharing with proportional rebates (PCS) and with no rebates (NR). PCS satisfies all these properties except strategy proofness, and NR satisfies all the properties except for strategy proofness and budget balance. However, PCS and NR do not exclude any potential users, and they do not require equal cost shares, thereby overcoming the two main sources of inefficiency with SCS. We characterize the Bayesian Nash equilibria (BNE) of the hybrid mechanisms and conduct laboratory experiments to compare the performance of the three mechanisms. We find that PCS produces significantly more efficient allocations than either SCS or NR.     

Private provision of discrete public goods

We investigate private provision of discrete public goods under refund and cost-sharing. If it is commonly believed that individuals may be warm-glow altruists and the group-size is a Poisson random variable, then the equilibrium distribution of collected contributions is uniquely determined. If composition uncertainty is very small and the expected group-size sufficiently large, the distribution of contributions can be described by concentrating in a symmetric mixed-strategy equilibrium. As the expected group-size increases, the probability a randomly selected player contributes and the associated expected number of contributions converge to the corresponding ones in the symmetric mixed-strategy equilibrium of the game with no uncertainty.     

A pigovian rule for the optimum provision of public goods

The integrated treatment of optimal taxation and public expenditure presented here is based on the dual relationship between the prices of private goods and the quantities of public goods. The conditions for optimum public good provision can be expressed as a modification of the Samuelson conditions with extra terms representing (a) the distortionary effect of taxes on the willingness to pay for the public good, and (b) distributional effects. The former captures Pigou's notion of the indirect damage caused by the need to finance public expenditure out of distortionary taxes, and we call this the ‘Pigou term’. In certain cases a very simple benefit-cost ratio for public projects emerges that is equivalent to measuring benefits as if they were taxed.     

A new approach to the demand for public goods

The individual demand for public goods is measured by a new survey research instrument which permits respondents to make hypothetical expenditure and tax recommendations with moveable penny coupons. Because each respondent faces an identical coupon budget constraint, it may be expected that observed expenditure and tax recommendations represent individual maximum utility. The instrument was applied to a random sample of 1000 residents of North Carolina. Statistical analysis of the resultant data indicates significant socio-economic differences in the preferences for particular spending and tax categories.     

Voluntariness and efficiency in the provision of public goods

This paper presents a characterization of Lindahl allocations which makes no reference to personalized prices. Lindahl equilibria are characterized here by two conditions: Pareto efficiency and a voluntariness condition. Voluntariness requires that no consumer may benefit from a reduction in his contribution if this means that the vector of public goods must be reduced in the same proportion. The intersection of the (large) set of voluntary allocations and that of efficient ones turns out to be (under differentiability) the set of Lindahl allocations.     

Social network and private provision of public goods

Using a simple model with interdependent utilities, we study how social networks influence individual voluntary contributions to the provision of a public good. Departing from the standard model of public good provision, we assume that an agent’s utility has two terms: (a) ‘ego’-utility derived from the agent’s consumption of public and private goods, and (b) a social utility which is the sum of utility spillovers from other agents with whom the agent has social relationships. We establish conditions for the existence of a unique interior Nash equilibrium and describe the equilibrium in terms of network characteristics. We show that social network always has a positive effect on the provision of the public good. We also find that, in networks with “small world”-like modular structures, ‘bridging’ ties connecting distant parts of social network play an important role inducing an agent’s contribution to public good. Assumptions and results of the model are discussed in relation to the role of social capital in community-level development projects and to the effect of innovation networks on firms’ R&D investments.     

Coming and going: Experiments on endogenous group sizes for excludable public goods

When a public good is congestible, individuals wanting to provide the public good face challenges in forming groups of optimal size, selecting the members of the group, and encouraging members to contribute for the public good. We conduct a series of experiments in which subjects form groups using three different entry and exit rules. The experimental results are analyzed in terms of group size, the level of public good provision, social efficiency, congestion and group stability. We find that entry restriction improves the average earnings for some individuals compared to free entry/exit or restricted exit. For a given group size, individuals under the restricted entry rule contribute more for the provision of the collective good. Also, for a given average contribution level of group members, subjects under the restricted entry rule suffer less from the congestion problem and are better able to form groups of sizes closer to the optimal.     

On commodity tax harmonization and public goods provision

This paper argues that Pareto improvements based on harmonizing tax reforms expressed in terms of the divergence between actual and optimal tax structures and over/under provision of public goods require the use of ‘pseudo-optimal’ taxes instead of optimal ones. ‘Pseudo-optimal’ taxes are defined as those obtained using the optimal tax formulas but evaluated at any arbitrary initial tax structure. Within this context the paper reconfirms existing results showing that tax harmonization emerges as a strong policy instrument in achieving a potential Pareto-improvement.     

Centralized versus decentralized provision of local public goods: a political economy approach

This paper takes a fresh look at the trade-off between centralized and decentralized provision of local public goods. It argues that the sharing of the costs of local public spending in a centralized system will create a conflict of interest between citizens in different jurisdictions. When spending decisions are made by a legislature of locally elected representatives, this conflict of interest will play out in the legislature. Depending on precisely how the legislature behaves, the result may be excessive public spending or allocations of public goods characterized by uncertainty and misallocation across districts. The extent of the conflict of interest between districts is affected by spillovers and differences in tastes for public spending. Thus, the relative performance of centralized and decentralized systems depends upon spillovers and differences in tastes for public spending, but for different reasons than suggested in the existing literature.     

Country size and the voluntary provision of international public goods

Standard studies on voluntary contributions to an international public good treat national economies as if they were single agents. This masks the fact that nations are comprised of populations of citizens, whose collective benefits a national government takes account of when deciding on the amount of the contributions. This paper constructs a model which explicitly allows for the effect of population differences and explores their consequences. We can then present the so-called exploitation of the great by the small by Olson and Zeckhauser [Olson, M., Zeckhauser, R., 1966. An economic theory of alliances. Review of Economics and Statistics 48 (1966) 266–279] and explore how residents of larger countries fare relative to those in smaller countries. We also elaborate on the effects of changing populations and show that growing into a large country is not necessarily beneficial for the country's residents.     

Minimum participation rules for the provision of public goods

This paper considers the endogenous formation of an institution to provide a public good. If the institution governs only its members, players have an incentive to free ride on the institution formation of others and the social dilemma is simply shifted to a higher level. Addressing this second-order social dilemma, we study the effectiveness of three different minimum participation requirements: (1) full participation/unanimity rule; (2) partial participation; (3) unanimity first and in case of failure partial participation. While unanimity is most effective once established, one might suspect that a weaker minimum participation rule is preferable in practice as it might facilitate the formation of the institution. The data of our laboratory experiment do not support this latter view, though. In fact, weakening the participation requirement does not increase the number of implemented institutions. Thus, we conclude that the most effective participation requirement is the unanimity rule which leaves no room for free riding on either level of the social dilemma.     

Effect of an audience in public goods provision

This paper investigates a novel public goods game where contributions to the public goods require effort that is observable. When the players are observed, they exert more effort to contribute to the public goods, and free-riding diminishes significantly compared to the no observer case. These effects are absent when no effort is required in order to contribute to the public goods. Furthermore, in the presence of an audience, the contributions to the public goods do not diminish when the game is repeated in the effort-required environment. Being observed does not affect the performance of the players if there is no strategic aspect of the game, in other words, when they play a private goods game. These results indicate that an individual wants to avoid appearing lazy when her effort helps the society.