Optimal auctions with information acquisition

This paper studies optimal auction design in a private value setting with endogenous information gathering. We develop a general framework for modeling information acquisition when a seller wants to sell an object to one of several potential buyers, who can each gather information about their valuations prior to participation in the auction. We first demonstrate that the optimal monopoly price is always lower than the standard monopoly price. We then show that standard auctions with a reserve price remain optimal among symmetric mechanisms, but the optimal reserve price lies between the ex ante mean valuation of bidders and the standard reserve price in Myerson (1981). Finally, we show that the optimal asymmetric mechanism softens the price discrimination against “strong” bidders.     

Optimal taxation in the extensive model

We study optimal taxation under extensive preferences: the agents? utilities are constant for positive actions up to a maximal productivity level. Utilities may be discontinuous at the origin, reflecting fixed costs of participation. Allowing for general distributions of work opportunity costs and productivity and for income effects, we characterize optimal, incentive-compatible tax schedules. We then give sufficient conditions for society to desire redistribution. When these conditions hold, upward distortions of the financial incentives to work can only occur for low-skilled workers. Such upwards distortions are indeed always present when the fixed participation costs are pecuniary.     

Viewpoint: Innovations in the theory and practice of redistribution policy

Abstract We present a survey of key results from second‐best optimal redistribution theory and their implications for tax‐transfer policy. The core results include the Corlett‐Hague theorem, the Deaton conditions, the production‐efficiency theorem, the Atkinson‐Stiglitz theorem, and the Mirrlees‐Saez characterization of the optimal non‐linear income tax system. These have been augmented in recent years by optimal participation tax rates, the implications of involuntary unemployment, the use of unconventional instruments, such as minimum wages, in‐kind transfer, and workfare, and the optimal taxation of capital income and bequests.     

Nonlinear Pricing with Random Participation

The canonical selection contracting programme takes the agent's participation decision as deterministic and finds the optimal contract, typically satisfying this constraint for the worst type. Upon weakening this assumption of known reservation values by introducing independent randomness into the agents' outside options, we find that some of the received wisdom from mechanism design and nonlinear pricing is not robust and the richer model which allows for stochastic participation affords a more general empirical specification. We develop a multi-dimensional methodology for addressing this class of problems, providing two important applications to nonlinear pricing. First, with nonlinear pricing by a monopolist the familiar "no-distortion-at-the-top" result persists, but in tandem with the surprising conclusion that there is either no distortion at the bottom or bunching. Second, in a simple model of product differentiated duopolists competing with nonlinear pricing we show that, generally, the duopoly outcome is qualitatively similar to the monopoly outcome. However, when marginal costs are symmetric and competition is sufficiently intense, distortions disappear and the equilibrium outcome takes a remarkably simple form: efficient quality allocations with cost-plus-fee pricing.     

Nonlinear pricing with self-control preferences

A basic assumption of economics is that consumers choose what they want. However, many consumers find it difficult to stop overeating, overspending, smoking, procrastinating, etc, even though they want to. In reality, consumers have temptation and it is psychologically costly to exercise self-control. To clarify the implications of the existence of temptation and self-control costs, this paper studies a firm's optimal selling strategy exploiting the behavioral features of consumers. We characterize optimal nonlinear pricing schemes for a monopoly when self-control is costly for consumers. Since consumers have a preference for commitment, the firm faces a trade-off between offering a small menu that makes the consumers’ self-control easier and offering a large menu that achieves better price discrimination. We show that the optimal menu resembles the one in the standard nonlinear pricing problem with a price ceiling, where the upper bound on prices is determined endogenously by a participation constraint. The ceiling motivates the firm to offer a relatively flat and compact price schedule, serving more consumers with low demand. The characterization also shows that the firm may earn less if consumers have temptation.     

A Pre-purchase Product Trial of a Monopolist with Multiple Products

For the heterogeneous consumers who do not know their individual utilities from a new product, a pre-purchase product trial would be helpful. We found out that a monopoly firm with two similar products would have a strong incentive not to allow a pre-purchase product trial, even though it is socially optimal to allow it. Furthermore, it is more likely for a monopoly firm with a pre-purchase product trial policy to introduce a new product to the market when introducing a new product is socially optimal.     

Competition and waiting times in hospital markets

This paper studies the impact of hospital competition on waiting times. We use a Salop-type model, with hospitals that differ in (geographical) location and, potentially, waiting time, and two types of patients: high-benefit patients who choose between neighbouring hospitals (competitive segment), and low-benefit patients who decide whether or not to demand treatment from the closest hospital (monopoly segment). Compared with a benchmark case of monopoly, we find that hospital competition leads to longer waiting times in equilibrium if the competitive segment is sufficiently large. Given a policy regime of hospital competition, the effect of increased competition depends on the parameter of measurement: Lower travelling costs increase waiting times, higher hospital density reduces waiting times, while the effect of a larger competitive segment is ambiguous. We also show that, if the competitive segment is large, hospital competition is socially preferable to monopoly only if the (regulated) treatment price is sufficiently high.     

How Leviathan Taxes

The Leviathan hypothesis remains a cornerstone of constitutional tax theory. Following Brennan and Buchanan's (1980) seminal contribution, the power to tax is often likened to a monopoly, and its use by a revenue-maximising government is said to obey the rules of optimal taxation theory. We revisit, and refine, this position, explaining its underpinnings and discussing the Leviathan solution in several well-known optimal taxation models. It turns out that the power to tax is not a perfect analogue of ordinary monopoly power and that the similarity between Leviathan and optimal taxation solutions hinges on the irrelevance of distributional weights.     

Help not needed? Optimal host country regulation of expatriate NGO workers

Motivated by interventions in poor countries to increase the use of local labor in foreign nongovernmental organizations (NGOs), we address the behavior of these organizations under host government regulation. We extend existing NGO models by distinguishing between local workers and expatriates. The model covers both NGO monopoly and competition in the market for donations. Assuming that NGOs maximize output, we show that regulations in the form of a quota on the number of expatriates or a work permit fee for foreigners reduces NGO output, but increases employment of locals. The optimal quota is more likely to bind in the market structure generating the highest total fundraising surplus. An optimal work permit fee is equivalent to an optimal quota in both the monopoly and duopoly cases. For both instruments, the optimal tightness of regulation is decreasing in the weight the government attaches to the public good relative to domestic incomes and in the importance of NGO output to the supply of the public good. Aggregate NGO output and the level of the public good produced could be higher with a monopoly NGO.     

Optimal Redistribution with Endogenous Social Norms

In this paper, we examine the effect of social norms on redistributive policies, where social norms are reflected in the degree of work participation among the different skill classes. Participation is driven both by the material incentives and heterogeneous preferences for leisure of each skill class, and by an endogenous social norm. Results for optimal redistributive taxation show that when the social norm enters as a benefit or cost for participants, participation taxes are generally lower than in its absence. Multiple participation equilibria can occur, and an engineered shift from a low‐ to a high‐participation equilibrium can be Pareto‐improving in the long run.     

Fundraising and Optimal Policy Rules

This paper develops a simple spatial model of fundraising, in which charities select a target population to solicit donations. First, we show that in a competitive charity market without any intervention, the number of charities in the market and/or the overall net funds raised by charities may be suboptimal. Next, we analyze whether a social planner can prevent such shortcomings and show that a regulatory mechanism can be designed to achieve socially desirable outcomes. In contrast to the previous literature, our model does not necessarily produce monopoly as the optimal market structure. We show that if fixed costs associated with establishing charities are sufficiently low, then the optimal market structure is not a monopoly. Given the importance of the trade‐off between the volume and variety of charitable services, we argue that this result may be of particular interest to policy makers.     

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.     

Optimal age‐dependent income taxation in a dynamic extensive model: The case for negative participation tax on young people

We consider optimal age‐dependent income taxation in a dynamic model where the labor‐leisure choice is the extensive margin, each household faces idiosyncratic shocks to labor productivity and a pecuniary cost to work, and there is no insurance market against the shocks. We show that the well‐known property of the optimal participation tax rate in the static model continues to hold in our dynamic economy, that is, the participation tax rates for some income groups with low consumption are likely negative. In dynamic models, the optimal participation tax rate depends on age and on labor income. Our numerical simulations suggest that a negative participation tax should be restricted to young households.     

Optimal Fiscal Policies,Congestion and Over‐entry*

By shedding light on market imperfections and the congestion of public goods, we show that free entry in a market equilibrium will lead to excessive entry relative to the social optimum. Moreover, by specifying a generalized congestion function, it is also shown that different fiscal policies, including labor income tax, capital income tax and government expenditure, play a distinct role in terms of remedying market distortions. Specifically, optimal income taxes decrease with the degree of market imperfections in order to remove the monopoly inefficiency, while they increase with the degree of congestion in order to remedy the adverse externality caused by congestion distortion. Since a higher degree of increasing returns to an expansion in the variety of intermediate goods is found to intensify the congestion effect of government infrastructure expenditure, the optimal rule of government expenditure proposed by Barro (1990) should be modified.     

Using Market Structure to Regulate a Vertically Integrated Monopolist

A natural monopolist whose cost is private information produces a good which is combined with another good that can be produced by the monopolist or by other firms. The agency that regulates the monopolist can impose any of several different market structures in the industry: integrated monopoly, vertical separation with free entry downstream, or liberalization downstream (both integrated and independent production). When several firms produce downstream, a Cournot quantity-setting game with free entry determines the market price. We derive the optimal contracts to offer the monopolist under all three market structures and examine the influence of downstream cost differences on access prices.We then study the optimal regulatory policy where the regulator can condition the downstream market structure on the monopolist's cost report to the regulator. The optimal regulatory policy awards a monopoly to a low-cost upstream firm, but requires free entry downstream if the monopolist reports high upstream costs. Thus, the choice of market structure is an additional tool to limit rent extraction by the monopolist. Simulation analysis reveals the possibility of significant welfare gains from this additional regulatory tool.     

Dress to impress: Brands as status symbols

We analyzed the market for indivisible, pure status goods. Firms produce and sell different brands of pure status goods to a population that is willing to signal individual abilities to potential matches in another population. Individual status is determined by the most expensive status good one has. There is a stratified equilibrium with a finite number of brands. Under constant tax rates, a monopoly sells different brands to social classes of equal measure, while in contestable markets, social classes have decreasing measures. Under optimal taxation, contestable markets have progressive tax rates, while a monopoly faces an adequate flat tax rate to all brands. In contrast with extant literature, subsidies may be socially optimal, depending on the parameters, in both market structures.     

Incentive Regulation and The Cost Structure of The Local Telephone Exchange Network

This paper combines an engineering process model of the cost of local exchange telecommunications firms with an analytical model of optimal incentive regulation (with ex post cost observability), to study empirically the properties of the optimal regulatory mechanism. Relying on detailed properties of the cost function, we examine three issues: (i) the extent of natural monopoly when informational rents associated with regulation are taken into account; (ii) the extent of incentive correction, which expresses the divergence of pricing under the optimal mechanism from optimal pricing under complete information; (iii) the implementation of optimal regulation through a menu of linear contracts. Our findings are that, for fixed territory, strong economies of scale allow local exchange telecommunications to retain monopoly characteristics even when the (informational) costs of regulation are properly accounted for, the incentive correction term is small in magnitude, and that optimal regulation can be well approximated through relatively simple linear contracts.     

A proposal for social pricing of water supply in Côte d'Ivoire

We consider the design of a nonlinear social tariff for residential water in Côte d'Ivoire, which is a case of a monopolistic private operator supplying a population of heterogeneous consumers. The proposed optimal tariff includes an initial “social” block with a low unit price, and higher consumption blocks with a monopoly pricing rule. This optimal nonlinear tariff is calibrated using econometric estimates of a panel-data residential water demand equation. Welfare changes associated with moving from the actual tariff to approximations of the optimal pricing system are computed under different tariff scenarios. We find that gains in consumer welfare would outweigh losses in producer surplus in a majority of Ivorian local communities.     

Vertical product differentiation and entry deterrence

I study how a potential entrant influences quality in a model of vertical product differentiation with quality-dependent production costs. With identical costs, the incumbent will always deter entry if possible, i.e., if fixed costs are high. Quality will be set at a level lower than or equal to the optimal quality under either duopoly or monopoly. Results are completely different when the entrant has substantially lower costs. They are explained by the relative location of the entrant's quality best response to the incumbent's optimal quality choice in monopoly. This sheds new light on the influence of industrial policy on market conduct.     

Bundling and Optimal Auctions of Multiple Products

We study the optimal ( i.e. revenue maximizing) auction of multiple products. We make three major points. First, we extend the relationship between price discrimination and optimal auctions from the single-product case to the multiple-product case. A monopolist setting prices for multiple products may offer discounts on purchases of bundles of products; similarly, the optimal auction of multiple products facilitates price discrimination by allocating products inefficiently to customers who are willing to purchase both products. Second, we demonstrate that optimal auctions are qualitatively distinct from monopoly sales of multiple products. Because of uncertainty about the values of other consumers, two products are bundled probabilistically in an optimal auction for a customer who is willing to buy both of them. A customer may then receive a discount on a lower-valued product without receiving a higher-valued product. Third, we show that in an optimal auction of two products the allocation of one product may vary with the amount of competition for the other product.