Access pricing and investment: a real options approach

This paper examines a three-period model of an investment decision in a network industry characterized by demand uncertainty, economies of scale and sunk costs. In the absence of regulation we identify the market conditions under which a monopolist decides to invest early as well as the overall welfare generated by this decision. In a regulated environment, we consider a vertically integrated network provider that is required to provide access to downstream competitors and compare two distinct access pricing methodologies: the Efficient Component Pricing Rule (ECPR) and the Option to Delay Pricing Rule (ODPR). We identify the welfare-maximizing access prices using the unregulated market output as a benchmark and show that optimal access regulation depends on market conditions (that is, the nature of demand) with two possible outcomes: (i) access prices that provide a positive payoff to the incumbent, that is, provide a positive compensation to account for the option to delay; and (ii) access prices that yield a zero payoff to the incumbent. Moreover, unlike the earlier literature that argues in favor of an ECPR-type methodology to account for the interaction between irreversibility and demand uncertainty, we find that, except under very specific conditions, an access price that accounts for the option to delay value is welfare-superior to the ECPR.      

The effects of abandonment options on operating leverage and forward hedging

This paper examines the behavior of the competitive firm under output price uncertainty when the firm is endowed with an abandonment option and has access to a forward market for its output. When the realized output price is less than its marginal cost, the firm optimally exercises its abandonment option and ceases production. The firm lets its abandonment option extinguish, thereby producing up to its capacity, only when the realized output price exceeds its marginal cost. The ex post exercising of the abandonment option as such convexifies the firm's ex ante profit with respect to the random output price. We show that neither the separation theorem nor the full-hedging theorem holds in the presence of the abandonment option. The firm under-hedges its output price risk exposure in the forward market wherein the forward price contains a nonpositive risk premium. When the set of hedging instruments is expanded to include options, we show that both the separation and full-hedging theorems are restored. We further show that the firm prefers options to forwards for hedging purposes when both types of contracts are fairly priced.     

Alternative theories of wage dispersion

We analyze labor market models where the law of one price fails—i.e., models with equilibrium wage dispersion. We begin considering ex ante heterogeneous workers, but highlight a problem with this approach: If search is costly the market shuts down. We then assume homogeneous workers but ex post heterogeneous matches. This model is robust to search costs, and delivers equilibrium wage dispersion. However, we prove that the law of two prices holds: Equilibrium implies at most two wages. We explore other models, including one combining ex ante and ex post heterogeneity which is robust and delivers more realistic wage dispersion.     

RISKY PRODUCTION WITH EX-ANTE PRICES UNDER MONOPOLY ANALYTICAL AND SIMULATION RESULTS

This paper concerns the case of a monopolist facing multiplicative uncertainty in demand. Karlin and Carr (1962), henceforth KC, show that, when price and production are both chosen ex ante , the uncertainty price exceeds the certainty price. They also give a sufficient condition under which the firm locates above the certainty demand curve, but they do not consider the effect on the output level. In this note we replicate the KC results and then go further. In the special case that the price elasticity of certainty demand is constant, and the probability distribution for the uncertainty parameter in the demand function is uniform, output is unambiguously lower under uncertainty, and KC's condition for the firm to locate above the certainty demand curve can be strengthened to one that is both necessary and sufficient. The robustness of these results is tested under less stringent assumptions on demand, abandoning symmetry for a lognormal distribution of the uncertainty parameter. Simulation confirms that the results hold up, and also determines the effects upon the firm's decisions of an increase in demand uncertainty.     

Invention under uncertainty and the threat of ex post entry

This article proposes a theoretical framework for studying the invention of new products when demand is uncertain. In this framework, under general conditions, the threat of ex post entry by a competitor can deter invention ex ante. Asymmetric market power in the ex post market exacerbates the problem. The implications of these general results are examined in a series of examples that represent important markets in the computer industry. The first is a model that shows how an operating system monopolist, by its mere presence, can deter the invention of complements, to its own detriment as well as that of society. The implications of policies such as patent protection, price regulation, and mandatory divestiture are considered. Three additional examples consider the ability of a monopolist in one market to commit to bundling an unrelated product, a pair of horizontally differentiated firms that can add a new feature to their products, and a platform leader that can be challenged in its base market by the supplier of a complementary product.     

Competition and regulation with product differentiation

We consider a market for differentiated products, where one good is supplied by a regulated monopolist and competitive firms operate in an unregulated segment. In this setting we investigate the issue of whether to allow the monopolist to diversify into the unregulated segment by owning a competitive firm. Under asymmetric cost information, if goods are substitutes a diversified monopolist, which exaggerates its costs in the regulated segment to charge a higher regulated price, stimulates the demand for the competitive affiliate. This strengthens the firm??s incentive to inflate costs, since doing so generates a positive informational spillover to its profits in the competitive segment. Consequently, a regime of separation, which prevents the firm from operating in the competitive segment, is welfare-enhancing. Conversely, with complements, cost exaggeration in the regulated monopoly reduces the demand and harms profits in the competitive segment, and allowing the monopolist to diversify into the competitive segment therefore generates countervailing incentives, which weaken the firm??s interest in cost manipulation and improve social welfare.     

Pricing behavior of the budget-constrained public enterprise

By assuming that a budget-constrained multiproduct public enterprise chooses prices with the goal of maximizing its budget, its revenue or its output, specific pricing rules can be derived. Rather than overstating demand elasticities and then pricing like a monopolist, as a budget-constrained welfare-maximizing firm would do, the enterprise pursuing one of these alternative goals is shown to understate marginal cost and then price like a monopolist. Non-optimal price discrimination and even cross subsidization may result. The outcome tends to be more perverse when statutory entry barriers protect some markets of the enterprise. In its pricing, the U.S. Postal Service has shown some of the signs of such other-than-welfare-maximizing pricing behavior.     

Competition and confidentiality: Signaling quality in a duopoly when there is universal private information

We model non-cooperative signaling by two firms that compete over a continuum of consumers, assuming each consumer has private information about the intensity of her preferences for the firms' respective products and each firm has private information about its own product's quality. We characterize a symmetric separating equilibrium in which each firm's price reveals its respective product quality. We show that the equilibrium prices, the difference between those prices, the associated outputs, and profits are all increasing functions of the ex ante probability of high safety. If horizontal product differentiation is sufficiently great then equilibrium prices and profits are higher under incomplete information about quality than if quality were commonly known. Thus, while signaling imposes a distortionary loss on a monopolist using price to signal quality, duopolists may benefit from the distortion as it can reduce competition. Finally, average quality is lower since signaling quality redistributes demand towards low-quality firms.     

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.     

Indeterminacy and directed search

The directed search approach assumes each seller posts a fixed price and, ex post, randomly allocates the good should more than one buyer desire the good. This paper assumes sellers can post prices which are contingent on ex post realized demand; e.g. an advertisement might state the Bertrand price should there be more than one buyer, which corresponds to an auction outcome. Competition in fixed prices and ex post rationing describes equilibrium behavior. There is also real market indeterminacy: a continuum of equilibria exists which are not payoff equivalent. Sellers prefer the equilibrium in auctions.     

Is ex‐ante ex‐post analysis irrelevant to Keynes's theory of employment?

Ex‐ante ex‐post analysis has become a standard tool in macroeconomics. Yet Keynes dismissed it. We argue that Keynes's dismissal of ex‐ante ex‐post analysis is not an oddity but an indication of the originality of his theory of employment compared to standard macroeconomics. First, the principle of effective demand does not amount to a process that determines employment and income at the point of intersection of the traditionally defined ex ante supply and demand functions. Second, the finance motive allowed Keynes to confirm the identity of aggregate supply and demand already asserted in The General Theory. This latter conclusion is puzzling, however, since the principle of effective demand presupposes the possibility of a discrepancy between supply and demand. We suggest that Keynes's theory of employment is linked to a theory of income distribution whereby profits are a redistributed share of factor income which is transferred to firms when prices exceed factor costs. The identity and the equilibrium condition then relate to separate measurements of income and output, factor cost and prices.     

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.     

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.     

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.     

Incentive Regulation of Prices When Costs are Sunk

We present a model featuring irreversible investment, economies of scale, uncertain future demand and capital prices, and a regulator who sets the firm’s output price according to the cost structure of a hypothetical replacement firm. We show that a replacement firm has a fundamental cost advantage over the regulated firm: it can better exploit the economies of scale because it has not had to confront the historical uncertainties faced by the regulated firm. We show that setting prices so low that a replacement firm is just willing to participate is insufficient to allow the regulated firm to expect to break even whenever it has to invest. Thus, unless the regulator is willing to incur costly monitoring to ensure the firm invests, revenue must be allowed in excess of that required for a replacement firm to participate. This contrasts with much of the existing literature, which argues that the market value of a regulated firm should equal the cost of replacing its existing assets. We also obtain a closed-form solution for the regulated firm’s output price when this price is set at discrete intervals. In contrast to rate of return regulation, we find that resetting the regulated price more frequently can increase the risk faced by the firm’s owners, and that this is reflected in a higher output price and a higher weighted-average cost of capital.     

Price cap regulation of a dominant firm facing competition

Price cap regulation is typically applied to natural monopolies operating with subadditive costs. Price caps are known to provide superior incentives for the regulated monopoly to pursue cost reduction and, in a multiservice/product context, undertake welfare enhancing price discrimination. It is well known that capping a Laspeyres index of the firm’s prices induces the monopoly to charge socially optimal “Ramsey” prices in the long run. This paper examines the suitability of the Laspeyres form of regulation when the regulated firm faces competition in the market for one of its services (outputs). We present the appropriately modified Ramsey pricing rule for the regulated dominant firm and demonstrate that capping a Laspeyres index of the dominant firm’s prices leads to prices that satisfy this pricing rule in the long run.     

Oligopolistic Competition and New Technology Adoption under Uncertainty

The paper examines the adoption of a new technology in oligopoly, where there is ex ante uncertainty about variable costs of the new technology. Each firm can either adopt the new process by bearing some up-front investment or may continue to use the old one, after which firms play a Cournot market game. If in equilibrium both technologies are employed, more uncertainty about the new technology increases (decreases) the number of innovating firms and decreases (increases) the product price if the up-front investment is large (small). Our model applies readily to vertical integration if integrated firms neither buy nor sell the intermediate good on the market. However, if buying and selling is allowed, the number of integrated firms is independent of input price uncertainty.     

Forward Markets and the Behaviour of the Competitive Firm with Production Flexibility

This paper examines the production and hedging decisions of the competitive firm under output price uncertainty when a forward market for its output is available. The firm possesses production flexibility in that it makes its production decision after the resolution of the output price uncertainty, albeit subject to a capacity constraint on production. We show that the firm optimally acquires a higher level of capacity investment than an otherwise identical firm with no production flexibility. We further show that production flexibility allows the firm to implicitly hedge against its output price risk exposure by the ex post production decision. The firm as such under‐hedges its output price risk exposure in the forward market wherein the forward price contains a non‐positive risk premium.     

Raising rivals' costs: The entry of an upstream monopolist into downstream markets

A regulated upstream monopolist provides an input to firms in a downstream market. If the monopolist enters the downstream market, a natural concern is that it will act so as to raise its downstream rivals' costs. An offsetting incentive is that a higher downstream price will reduce demand for the input, which reduces the monopolist's profit. Conditions under which one incentive dominates the other are derived. The monopolist may desire to lower its downstream rivals' costs rather than raise them. These findings suggest that regulatory policy towards such downstream entry should not focus exclusively on the ability to discriminate.     

A laboratory study of advertising and price competition

We use a laboratory experiment to study advertising and pricing behavior in a market where consumers differ in price sensitivity. Equilibrium in this market entails variation in the number of firms advertising and price dispersion in advertised prices. We vary the cost to advertise as well as varying the number of competing firms. Theory predicts that advertising costs act as a facilitating device: higher costs increase firm profits at the expense of consumers. We find that higher advertising costs decrease demand for advertising and raise advertised prices, as predicted. Further, this comes at the expense of consumers. However, advertising strategies are more aggressive than theory predicts with the result that firm profits do not increase.