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.     

The relevance of private information in mechanism design

Recent results in mechanism design show that as long as agents have correlated private information and are sufficiently risk neutral, it is possible to design mechanisms that leave agents with arbitrarily small information rents. We show that these full-rent-extraction results hinge on the implicit assumption that the agents’ beliefs uniquely determine their preferences. We present an example of the voluntary provision of a public good in which this assumption is relaxed, and consequently, even in highly correlated environments, if agents’ beliefs do not uniquely determine their preferences, then the extraction of the agents’ entire information rents is impossible.     

Implementing just and efficient decision-making

In an economy with one public good, one private good and quasi-linear utilities we explore decision-making mechanisms to non-cooperatively implement an efficient outcome. By auctioning the leadership role among agents, one implements egalitarianism, namely the efficient outcome that distributes equally the surplus available from an a priori given status quo. A refinement of this mechanism (so-called autioning the leadership with differentiated buds) allows us to implement an efficient anonymous and neutral outcome: it achieves egalitarianism above the Vickrey-Clarke-Groves decision.     

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.     

PUBLIC GOOD PROVISION WITH CONSTITUTIONAL CONSTRAINT

This article studies the public good provision problem, in which the principal faces a constitutional constraint in the sense that in order for a public good provision mechanism to be implemented, it must first be approved by agents under a prespecified voting rule. I find that as long as the voting rule is not the unanimity rule, the principal can propose a mechanism such that first‐best efficiency of provision of the public good is achieved. I also consider various constraints, such as prohibition of discriminatory mechanisms and the existence of vote buying, and discuss optimal voting rules in these situations.     

On efficient partnership dissolution under ex post individual rationality

This paper studies ex post individually rational, efficient partnership dissolution in a setting with interdependent valuations. We derive a sufficient condition that ensures the existence of an efficient dissolution mechanism that satisfies Bayesian incentive compatibility, ex post budget balancedness, and ex post individual rationality. For equal-share partnerships, we show that our sufficient condition is satisfied for any symmetric type distribution whenever the interdependence in valuations is non-positive. This result improves former existence results, demonstrating that the stronger requirement of ex post individual rationality does not always rule out efficiency. We also show that if we allow for two-stage revelation mechanisms, in which agents report their realized payoffs from the allocation, as well as imposing penalties off the equilibrium path, efficient dissolution is always possible even when the interdependence is positive. We further discuss the possibility of efficient dissolution with ex post quitting rights.     

Property Rights and Efficiency of Voluntary Bargaining under Asymmetric Information

We show that in public good problems under asymmetric information, the success of voluntary bargaining is closely related to the structure of property rights. We characterize property rights structures and mediated bargaining procedures that either lead to an efficient voluntary resolution to public good problems, or achieve the efficient outcome but slightly coerce the agents into participation. In this respect, we identify "efficient" property rights structures.     

Surplus Sharing with a Two‐Stage Mechanism

In this article we consider environments where agents jointly produce a private output good by contributing privately owned resources. An efficient outcome may not be realized due to strategic behavior and conflicting interests of the agents. We construct a two‐stage mechanism, building on a Varian mechanism. The modified mechanism ensures an equilibrium for a large class of preferences and guarantees the feasibility of outcomes.     

A Solomonic solution to the problem of assigning a private indivisible good

A benevolent Planner wishes to assign an indivisible private good to n claimants, each valuing the object differently. Individuals have quasi-linear preferences. Therefore, the possibility of transfers is allowed. A second-best efficient mechanism is a strategy-proof and anonymous mechanism that is not Pareto dominated by another strategy-proof and anonymous mechanism. In this context, we identify three conditions that are necessary and, together with Voluntary Participation, sufficient for a mechanism to be second-best efficient. This set includes mechanisms that destroy the good at certain profiles. For domains comprising two individuals we provide an explicit characterization of the family of second-best efficient mechanisms.     

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.     

Worst-case optimal redistribution of VCG payments in multi-unit auctions

For allocation problems with one or more items, the well-known Vickrey–Clarke–Groves (VCG) mechanism (aka Clarke mechanism, Generalized Vickrey Auction) is efficient, strategy-proof, individually rational, and does not incur a deficit. However, it is not (strongly) budget balanced: generally, the agents' payments will sum to more than 0. We study mechanisms that redistribute some of the VCG payments back to the agents, while maintaining the desirable properties of the VCG mechanism. Our objective is to come as close to budget balance as possible in the worst case. For auctions with multiple indistinguishable units in which marginal values are nonincreasing, we derive a mechanism that is optimal in this sense. We also derive an optimal mechanism for the case where we drop the non-deficit requirement. Finally, we show that if marginal values are not required to be nonincreasing, then the original VCG mechanism is worst-case optimal.     

Finite supermodular design with interdependent valuations

This paper studies supermodular mechanism design in environments with arbitrary (finite) type spaces and interdependent valuations. In these environments, the designer may have to use Bayesian equilibrium as a solution concept, because ex-post implementation may not be possible. We propose direct (Bayesian) mechanisms that are robust to certain forms of bounded rationality while controlling for equilibrium multiplicity. In quasi-linear environments with informational and allocative externalities, we show that any Bayesian mechanism that implements a social choice function can be converted into a supermodular mechanism that also implements the original decision rule. The proposed supermodular mechanism can be chosen in a way that minimizes the size of the equilibrium set, and we provide two sets of sufficient conditions to this effect. This is followed by conditions for supermodular implementation in unique equilibrium.     

Prizes and patents: Using market signals to provide incentives for innovations

We consider environments in which agents other than innovator receive the signals about the quality of innovation. We study whether mechanisms can be found which exploit market information to provide appropriate incentives for innovation. If such mechanisms are used, the innovator has incentives to manipulate market signals. We show that if an innovator cannot manipulate market signals, then the efficient levels of innovation can be uniquely implemented without deadweight losses – for example, by using prizes. Patents are necessary if the innovator can manipulate market signals. For an intermediate case of costly signal manipulation, both patents and prizes may be optimal.     

Adoption externalities as public goods

A public good problem arises naturally in situations characterized by positive externalities or negative externalities. For positive externalities, agents furnish a public good by taking an action. Similarly, for negative externalities, agents furnish a public good by not taking an action. We examine these externalities in a binary choice problem, i.e. adoption externalities. In each case, there is a potential role for government intervention, even when equilibrium transfers are not allowed, since one equilibrium Pareto dominates all others. We analyze the positive and normative features of equilibria in these models, and we explore the possibility of useful government intervention.     

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.     

ON DETAIL‐FREE MECHANISM DESIGN AND RATIONALITY*

Mechanism design theory has been criticized, because mechanisms depend on the detail of specification and agents’ behaviour relies on strong rationality assumptions. Hence the study of “detail‐free” mechanism design with weak rationality is important as a practical theory. This paper emphasizes that, even if we confine our attention to detail‐free mechanisms with weak rationality, there exists plenty of scope for the development of new and significant ideas. I describe my recent work along these lines, and argue that stochastic decisions work in large double auction environments, and that moral preferences improve the implementability of social choice functions.     

Fairness versus Efficiency in Public School Assignments

A critical element in the sustainability of any public policy is the fair treatment of similar individuals. This paper introduces a new dimension of merit to evaluate public school assignment mechanisms based on this notion of equity. I show that there exists no assignment mechanism that is both constrained‐efficient and fair. The findings also reveal that all of the prominent assignment mechanisms discussed in the literature fail to satisfy this fairness criterion.     

Taste-homogeneity of optimal jurisdictions in a Tiebout economy with crowding types and endogenous educational investment choices

We examine a local public goods economy with differentiated crowding. The main innovation is that we assume that the crowding effects of agents are a result of choices that agents make. For example, agents may be crowded (positively or negatively) by the skills that other members of their jurisdiction possess and these skills may be acquired through utility maximizing educational investment choices made in response to equilibrium wages and educational costs. In such an environment, we show that taste-homogeneous jurisdictions are optimal. This contrasts with results for both the standard differentiated crowding model and the crowding types model. We also show that the core and equilibrium are equivalent, and that decentralization is possible through anonymous prices having a structure similar to cost–share equilibrium prices.     

Chores

We analyze situations where the provision of each of c public goods must be voluntarily assumed by exactly one of n private agents in the absence of transfer schemes or binding contracts. We model this problem as a complete information, potentially infinite horizon game where n agents simultaneously wage c wars of attrition. Providing a public good commits an agent not to take on the provision of another public good for a fixed period. We explore the strategic trade-offs that this commitment ability and the multiplicity of tasks provide. Subgame perfect equilibria (SPEs) are characterized completely for games with two agents and two public goods. For games with two identical agents and c > 1 identical public goods, we establish that an equilibrium that yields a surplus-maximizing outcome always exists and we provide sufficient conditions under which it is the unique equilibrium outcome. We show that under mild conditions, the surplus-maximizing SPE is the unique symmetric SPE. Journal of Economic Literature Classification Number: H41, C72, D13.     

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.