Capacity expansion and dynamic monopoly pricing

We substitute to the plant size problem, as investigated by Chenery [Chenery, H., 1952. Overcapacity and the acceleration principle. Econometrica], a new version in which a profit-maximizing monopolist may combine its investment policy with a price policy adjusting demand upwards or downwards over time. We characterize the optimal price and investment policies. The optimal price policy determines an investment pattern either with constant increments of capacity over time, or becoming constant after a finite time. The existing capacity is either fully used at each instant between two investment dates; or the monopolist first quotes the instantaneous monopoly price and, thereafter, the price dampening instantaneous demand at the optimal installed capacity level.     

Intertemporal price discrimination in infinite horizon

In infinite horizon, a credible durable-good monopolist may resort to intertemporal price discrimination. We provide an analytical characterization of his optimal price policy when consumers and the monopolist have different values for the trade because of distinct discount factors.     

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.     

Durable-Goods Monopoly with Varying Demand

This paper solves for the profit-maximizing strategy of a durable-goods monopolist when incoming demand varies over time. We first characterize the consumers' optimal purchasing decision by a cut-off rule. We then show that, under a monotonicity condition, the profit-maximizing cut-offs can be derived through a myopic algorithm, which has an intuitive marginal revenue interpretation. Consumers' ability to delay creates an asymmetry in the optimal price path, which exhibits fast increases and slow decreases. This asymmetry creates an upward bias in the level of prices, pushing them above the price charged by a firm facing the average level of demand. The optimal policy outperforms renting and can be implemented by a time-consistent best-price provision.     

Optimal regulation of lumpy investments

We study optimal timing of regulated investment in a real options setting, in which the regulated monopolist has private information on investment costs. In solving the ensuing agency problem, the regulator trades off investment timing inefficiency against the dead-weight loss arising from high price caps. We show that optimal regulation is implemented by a price cap that decreases as a function of the monopolist’s chosen investment time.     

Segmenting the market: The monopolist's optimal product mix

In an industry producing products which differ in quality, to consumers who vary in their willingness to pay, it may happen that only a bounded number of producers can coexist at (noncooperative price) equilibrium; in other words, the industry is a natural oligopoly. We are here concerned with a special example, in which only one producer can survive. Our focus of interest in the present paper is to examine this monopolist's optimal product range. Depending on the dispersion of consumers' willingness to pay (income), either (i) the monopolist will find it optimal to segment the market completely, offering the maximum number of products permitted or (ii) the monopolist will offer only a single product. The precise nature of this switch of policy, which occurs at a certain critical distribution of consumer incomes (willingness to pay), is explored fully.     

Market Power and Buffer Stocks

The first-order conditions for a monopolist inventory holder are found under more general conditions than previously. It is found that monopolist storers facing inelastic demand will carry over more stock than they would with competition unless the elasticity of demand b increasing as price decreases or is constant. The competitive stocks equilibrium is identified and found to be Pareto optimal and hence Sams' result that there will be no losers from a rent-maximizing buffer stock policy is shown to be wrong.     

Monopoly Price Dispersion Under Demand Uncertainty

When a monopolist sets its price before its demand is known, then it may set more than one price and limit the availability of its output at lower prices. This article adds demand uncertainty and price rigidities to the standard model of monopoly pricing. When there are two states of demand and the ex post monopoly price is greater when demand is high then the monopolist's optimal ex ante pricing strategy is to set two prices and limit purchases at the lower price.     

DURABLE GOODS MONOPOLISTS AND BACKWARD COMPATIBILITY*

This paper provides an economic analysis on the choice of backward compatibility by a durable goods monopolist in the presence of network effects. We examine the time inconsistency problem faced by a monopolist in its dynamic provision of two compatible products. We suggest an economic reason why, and when it will be strategically optimal, for the monopolist to choose backward compatibility even though it is socially undesirable, and not to choose forward compatibility even though it is technologically possible. We also investigate the compatibility choices with and without price discrimination, and compare market outcomes with the social optimum. Two different social inefficiencies (planned obsolescence) which arise from the viewpoints of optimal consumption and optimal compatibility are discussed.     

When Is Efficiency Separable from Distribution in the Provision of Club Goods?

Using the homogeneous of degree zero inverse congestion (“quality”) function employed most frequently in the literature, we characterise completely the families of utility functions which are then necessary and sufficient for break-even utilitarian welfare maximising provision of club goods with self-selection to be separable from distribution. Two types of separation—involving, alternatively (a) the price and quality; (b) the price, quality, facility size and total utilisation—are considered. When separation is possible, utility functions and optimal decisions take simple, intuitive forms. Our results extend the scope of separation results previously obtained only for pure public goods. Journal of Economic Literature Classification Numbers: D62, H23, H40.     

Piracy and limited liability

This paper analyzes the effects of end-user piracy on a monopolized software industry with network effects in which consumers have heterogeneous income and limited liability. Limited liability produces a piracy cost which increases with income. The monopolist thus may be able to exploit the network effect brought about by the piracy of low-income consumers to charge a higher price to high-income consumers thereby earn a higher profit, especially when the monopolist can prevent the network effect from spilling over to the high-income consumers. If intellectual property rights policies are severe enough, then the monopolist can avoid the spillover. Otherwise it may become a case where each high-income buyer benefits from the piracy but the monopolist is hurt. However, a severe policy may bring about a high piracy rate since it invites the monopolist to raise the price.      

Price or quantity setting under uncertain demand and capacity constraints: An examination of the profits

This article considers price formation and quantity setting of a capacity-constrained risk-neutral firm facing uncertain demand. It is shown that the optimal price of a price-setting risk-neutral monopolist decreases with demand uncertainty. With a strictly convex demand function expected profits increase with uncertainty for a quantity-setting monopolist whereas expected profits decrease for a price-setting monopolist. Furthermore, similar results on the effect of uncertainty are derived for a differentiated goods industry.     

The optimal neglect of inflation: An alternative interpretation of UK monetary policy during the “Great Moderation”

This paper argues that UK monetary policymakers did not respond to the inflation rate during most of the “Great Moderation” that ran from the early 1990s to the mid-2000s. We derive a generalisation of the New Keynesian Phillips curve in which inflation is a non-linear function of the output gap and show that the optimal response of the policy rule to inflation depends on the slope of the Phillips curve; if this is flat, manipulation of aggregate demand through monetary policy does not affect inflation and so policymakers cannot affect inflation. We estimate the monetary policy rules implied by a variety of alternative Phillips curves; our preferred model is based on a Phillips curve that is flat when output is close to equilibrium. We find that policy rates do not respond to inflation when the output gap is small, a situation that characterised most of the “Great Moderation” period.     

Export uncertainty in centrally planned economies and administered protection

The paper examines the price decision making process of a state foreign trade organization under threat of antidumping tariffs. Given the peculiar application of the antidumping law to centrally planned economy exporters, the paper formally outlines the parameters guiding the state exporter's price decision and attempts to estimate the degree of uncertainty it faces. The exporter's optimal price is shown to depend on its subjective probability distributions of numerous foreign prices and alternative methodologies for calculating a centrally planned economy exporter's “fair price.”     

Location decisions of a polluting firm and the time consistency of environmental policy

This paper considers location decisions of a monopolist, who faces a tax on its emissions in the home country, under ex post that is, time consistent, and ex ante, that is precommitment, environmental policies. We show that the monopolist will relocate more often under ex post optimal emission taxes. A government which cannot commit to an ex ante emission tax and sets its tax ex post after abatement effort has been chosen, is unable to affect the monopolist’s location decision, because it cannot commit to strategically reduce its tax level in the first stage. Domestic welfare is often higher under ex post emission taxes whenever the monopolist relocates under both policy regimes. Otherwise, welfare is higher under government commitment to an ex ante emission tax level. Thus, government commitment to a policy is not always welfare improving.     

Imported inputs and privatization in downstream mixed oligopoly with foreign ownership

This paper examines welfare implications of privatization in a mixed oligopoly with vertically related markets, where an upstream foreign monopolist sells an essential input to public and private firms located downstream in the domestic country. The impact on domestic welfare of privatizing the downstream public firm is shown to contain three effects. The first is an output distortion effect, which negatively affects welfare since privatization decreases the production of final good for consumption. The second is an input price lowering effect resulting from a decrease in derived demand for the input. When the level of privatization increases, a decrease in final good production lowers input demand, causing input price to decline and domestic welfare to increase. The third is a rent‐leaking effect associated with foreign ownership in the downstream private firm. The rival domestic firm strategically increases its final good production, causing profits accrued to foreign investors to increase and domestic welfare to decline. Without foreign ownership in the downstream private firm, the optimal policy toward the public firm is complete privatization as the output distortion effect is dominated by the input price lowering effect. With foreign ownership, however, complete privatization can never be socially optimal due to the additional negative impact on domestic welfare of the rent‐leaking effect. We further discuss implications for domestic welfare under different privatization schemes (e.g., selling the privatization shares to the upstream foreign monopolist or to the rival domestic firm).     

A Characterization for Dominant Strategy Implementation

We introduce a perfect price discriminating mechanism for allocation problems with private information. A perfect price discriminating mechanism treats a seller, for example, as a perfect price discriminating monopolist who faces a price schedule that does not depend on her report. In any perfect price discriminating mechanism, every player has a dominant strategy to truthfully report her private information.We establish a characterization for dominant strategy implementation: Any outcome that can be dominant strategy implemented can also be dominant strategy implemented using a perfect price discriminating mechanism. We apply this characterization to derive the optimal, budget-balanced, dominant strategy mechanisms for public good provision and bilateral bargaining.     

OPTIMAL MONETARY POLICY WITH THE STICKY INFORMATION MODEL OF PRICE ADJUSTMENT: INFLATION OR PRICE‐LEVEL TARGETING?

I investigate the optimal monetary policy in a New Keynesian macroeconomic framework with the sticky information model of price adjustment. The model is solved for optimal policy, and welfare implications of three alternative monetary policy regimes under this optimal policy are compared when there is a cost‐push shock to the economy. These monetary policy regimes are the unconstrained policy, price‐level targeting and inflation targeting regimes. The results illustrate that optimal policy depends on the degree of price stickiness and the persistence of the shock. Inflation targeting emerges as the optimal policy if prices are flexible enough or the shock is persistent enough. However, the unconstrained policy or price‐level targeting might be preferable to inflation targeting if prices are not very flexible and the shock is not very persistent. The results also show that as prices become more flexible, the welfare loss usually gets bigger.     

Benefit and Distance Functions

We explore the relationship between R. W. Shephard's input distance function (“Cost and Production Functions,” Princeton Univ. Press, Princeton, 1953) and D. G. Luenberger's benefit function (J. Math. Econ.21(1992a), 461–481). We point out that the latter can be recognized in a production context as a directional input distance function which can exhaustively characterize technologies in both price and input space. D. McFadden's (Cost, revenue, and profit functions,in“Production Economics: A Dual Approach to Theory and Applications, “North-Holland/Elsevier, New York, 1978) composition rules for input sets and input distance functions are then extended to the directional input distance function.Journal of Economic LiteratureClassification Numbers : D21, D24, D29.     

The Coase conjecture need not hold for durable good monopolies with depreciation

We consider the optimal sales policy for a monopoly seller of a durable good in a non-stationary rational expectations equilibruim with replacement sales. We show that Coase's conjecture that the monopolist will sell the competitive stock as period length approaches zero may not hold under these assumptions.