The strategy-proof provision of public goods under congestion and crowding preferences

We examine the strategy-proof provision of excludable public goods when agents care about the number of other consumers. We show that strategy-proof and efficient social choice functions satisfying an outsider independence condition must always assign a fixed number of consumers, regardless of individual desires to participate. A hierarchical rule selects participants and a generalized median rule selects the level of the public good. Under heterogeneity in agents’ views on the optimal number of consumers, strategy-proof, efficient, and outsider independent social choice functions are much more limited and in an important case must be dictatorial.     

A general characterization of interim efficient mechanisms for independent linear environments

We consider the class of Bayesian environments with independent types, and utility functions which are both quasi-linear in a private good and linear in a one-dimensional private-value type parameter. We call these independent linear environments. For these environments, we fully characterize interim efficient allocation rules which satisfy interim incentive compatibility and interim individual rationality constraints. We also prove that they correspond to decision rules based on virtual surplus maximization, together with the appropriate incentive taxes. We illustrate these techniques with applications to auction design and public good provision.     

Toward an efficiency rationale for the public provision of private goods

Public provision of a private goods is justified on efficiency grounds in a model with no redistributive preferences. A government’s involvement in the provision of a private good generates information about preferences that facilitates more efficient revenue extraction for the provision of public goods. Public provision of the private good improves economic efficiency under a condition that is always fulfilled under independence and satisfied for an open set of joint distributions. The efficiency gains require that consumers cannot arbitrage the publicly provided private good, so our analysis applies to private goods where it is easy to keep track of the ultimate user, such as schooling and health care, but not to easily tradable consumer goods.     

Selling an asset to a competitor

A seller decides whether to allocate an item among two potential buyers. The seller and buyer 1 interact ex post in such a way that each of them suffers a negative externality if the other possesses the item. We show that the optimal allocation rule favors buyer 2, who does not interact ex post with the seller, and in particular bidder 1 may not obtain the good even if his valuation is highest. The auction is therefore subject to resale. When resale is possible, the seller must distort the original auction. We show that the mechanism depends crucially on the way resale is organized ex post. The seller may decide to always allocate the good to the agent with the highest valuation when rents are fully extracted by an intermediary on the resale market. However, she may resort to a stochastic mechanism when the winner of the primary auction has full bargaining power in the resale stage.     

Parallelism in the Lab and the Field: Testing Robustness of the Minimum‐Contributing‐Set Mechanism

Efforts to "test" public‐goods provision mechanisms in field settings encounter a fundamental obstacle: investigators cannot determine whether the aggregate valuation of the public good exceeds the cost. Experimental laboratory settings can fix the provision of the public good to be efficient. This allows investigation of the performance of the mechanism under potential field settings. This paper reports the results of a set of laboratory experiments designed to test the robustness of the minimum‐contributing‐set (MCS) mechanism to field conditions. The reported results support further use and investigation of the MCS mechanism for the provision of step‐level public goods.     

Public Versus Private Provision of Public Goods

It is well known that public goods are underprovided in a static setting with voluntary contributions. Public provision—in a median voter framework with proportional taxation—generally exceeds private provision. This paper compares private and public provision of public goods in a dynamic setting. In a dynamic setting, voluntary donations can result in efficient provision. Also, majority‐rule solutions exist even when taxes are not proportional to income. At low discount factors, public provision tends to exceed private provision. As patience increases, however, private provision may exceed public provision. This occurs because many outcomes with a low level of public good provision—and potentially large targeted transfer payments to particular individuals—become sustainable under public provision. Under private provision, however, large targeted transfers are unsustainable. To finance the public good, private provision tends to result in benefit taxation, and public provision tends to result in progressive taxation.     

Consuming your way to efficiency: Public goods provision through non-distortionary tax lotteries

We revisit the classical result that taxation of private consumption is distortionary and therefore precludes the efficient provision of public goods. We introduce a nonlinear consumption tax which we call a ‘tax lottery’. Under this scheme, an ad-valorem consumption tax is supplemented with a lottery in which consumers can win cash prizes. The winning probabilities in this lottery depend on all consumers' private good consumption decisions. We show that for a given ad-valorem tax, an appropriately designed lottery can implement an efficient allocation in pure-strategy Nash equilibrium. The lottery component corrects the distortion in private consumption due to the ad-valorem tax, while the resulting tax revenue is sufficient to efficiently provide the public good and pay out the lottery prize.     

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.     

Nonlinear Pricing, Redistribution, and Optimal Tax Policy

This paper examines the role of nonlinear pricing by public (or regulated) utilities as a redistributive mechanism in presence of an optimal nonlinear income tax. It models an economy with many types of persons who differ in two unobservable characteristics (earning abilities and tastes). We show that nonlinear pricing does have a redistributive role; it is not a substitute for an ill-designed tax policy. We prove, assuming separable preferences, that a person whose valuation of the public sector output is smaller than the average valuation of the population (all measured at the same consumption bundle) must face a marginal price for the good above its marginal cost. Further assuming that tastes and earning abilities are perfectly correlated, we prove that everyone must face a marginal price for the public sector's output which strictly exceeds its marginal cost if correlation is positive. These properties provide an economic rationale for the provision of "support for low-income consumers" as mandated by the universal service and similar regulatory policies. Finally, we show that with correlated characteristics, implementation can be achieved through two separate functions: a pricing function that depends only on the public sector output and a tax function that depends only on income.     

Saving the public from the private? Incentives and outcomes in dual practice

We consider a monopoly physician offering free public treatment and, if allowed, a private treatment for which patients have to pay out of pocket. While patients differ in the propensity to benefit from private treatment it always yields better health outcomes than public treatment but is also more costly in terms of money and time. We study the physician's supply of private care and allocation of time costs across public and private patients and contrast these with the first‐best allocation. To increase the willingness‐to‐pay for private treatment the physician shifts time costs to public patients. While this turns out to be socially optimal, the resulting positive network effect leads to an over‐provision of private care if time costs are sufficiently high. A second‐best allocation arises when the health authority sets public reimbursement but has no control over private provision. Depending on the welfare weight the health authority attaches to physician profits, a ban of dual practice may improve on the second‐best allocation. Notably, a ban benefits not only public patients but also private patients with a moderate propensity to benefit from private care.     

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.     

Profit Maximizing in Auctions of Public Goods

A profit-maximizing auctioneer can provide a public good to a group of agents. Each group member has a private value for the good being provided to the group. We investigate an auction mechanism where the auctioneer provides the good to the group only if the sum of their bids exceeds a reserve price declared previously by the auctioneer. For the two-bidder case with private values drawn from a uniform distribution we characterize the continuously differentiable symmetric equilibrium bidding functions for the agents, and we find the optimal reserve price for the auctioneer when such functions are used by the bidders. We also examine another interesting family of equilibrium bidding functions for this case, with a discrete number of possible bids, and show the relation (in the limit) to the differentiable bidding functions.     

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.     

Public goods with congestion

I consider the problem of the efficient provision of a congested (limited capacity) public good in a setting with asymmetric information. I show, in particular, that when the capacity of the good is limited, in a wide class of economies it is possible to construct an incentive compatible mechanism that always produces the good at the efficient level, balances the budget and satisfies voluntary participation constraints. This result is in contrast with the corresponding impossibility result for pure public goods due to Mailath and Postlewaite (Rev. Econ. Stud. 57 (1990) 351-359) and Rob (J. Econ. Theory 47 (1989) 307-333).     

Efficient Mechanisms for Public Goods with Use Exclusions

Constrained efficient provision of an excludable public good is studied in a model where preferences are private information. The provision level is asymptotically deterministic, making it possible to approximate the optimal mechanism with a mechanism that provides a fixed quantity of the good and charges fixed user fees for access. In general, the fixed fees involve third degree price discrimination, but, if names are uninformative about preferences, the analysis provides a justification for average cost pricing.     

Evolution in mechanisms for public projects

Summary This paper considers the explicit, real time dynamic processes in which cooperation emerges in a class ofbinary decision mechanisms, each of which determines funding for a public project. This class includes the Voluntary Contribution and the Majority Voting mechanisms. The population is subject to turnover so that new individuals enter society with possibly different beliefs about the future evolution of societal behavior than their predecessors. Individuals in this society maximize their discounted expected utilities. Due to the frequent turnover, however, these expectations may not be mutually consistent. Nevertheless, we find, for each mechanism, the nonempty set of the parameters for which the behavior pattern starting from states with nonprovision is absorbed into states with full provision with probability one. Moreover, for a sufficiently large population, outcomes with full provision are absorbing states if and only if certain types of voting mechanisms are used.We wish to thank an anonymous referee for valuable comments. We have also benefitted from the helpful comments of Srihari Ghovindan, Peter Linhart, George Mailath, Stephen Morris, Roy Radner, Rafael Rob, Nicholas Yannelis, and numerous seminar participants.     

Is the public sector too large in an economy with club goods? A case when consumers differ in both tastes and incomes

In an archetypal economy with a single private good and a single shared good, the latter represents the public sector. With the shared good a club good, we ask if second-best (SB) provision of it is too small, as usually claimed for pure public goods. When consumers differ only in exogenous incomes, if the club good is a superior good in a single-club economy, overprovision in the SB occurs if club good demand is convex in income. We show this can extend to an economy where consumers differ in both tastes and incomes, depending on the covariances between consumers' incomes and their relative strength of preference for the club and private goods, and the covariances between incomes and taste parameters.     

Optimal jurisdictional fragmentation and mobility

Tiebout's hypothesis is examined in a model with the continuum of income classes and no economies of scale of population in public output provision. Any efficient allocation of resources can be achieved in this model by a system of jurisdictions, each containing a separate income class, and each using a local property tax to finance local public output. However, in general at most one such allocation will be an equilibrium if residents can ‘vote with their feet’. Conditions are derived under which higher-income residents will locate in jurisdictions providing a higher level of public output. These are shown necessary, given a separable utility function, for any optimal allocation to be sustainable as an equilibrium when residents are mobile.     

Opacity in bargaining over public good provision

We consider ultimatum bargaining over the provision of a public good. Offer-maker and responder can delegate their decisions to agents whose actual decision rules are opaque. We show that the responder will benefit from strategic opacity, even with bilateral delegation. The incomplete information created by strategic opacity choices does not lead to inefficient negotiation failure in equilibrium. Inefficiencies arise from an inefficient provision level. While an agreement will always be reached, the public good provision will fall short of the socially desirable level. Compared with unilateral delegation, bilateral delegation is never worse from a welfare perspective.     

Reducing Inefficiency in Public Good Provision Through Linking

We characterize the optimal mechanism for the provision of n public goods in an economy with m agents, binary valuations. The mechanism “links” the n problems together because decisions and transfers are based on the whole vector of valuations of the agents. In particular, the decision on whether or not to provide a public good depends not only on the valuations of the agents for that good but, in some cases, also on the valuations for the other goods reported by the low‐valuation agents. For the two‐agent case, we show that the mechanism is asymptotically efficient and we provide an example that compares its relative efficiency with optimal separate provision and with another asymptotically efficient mechanism in the literature.