A note on dynamic monopoly pricing under consumption externalities

We analyze dynamic monopoly pricing under consumption externalities, focusing on pricing under negative externalities. We also attempt to generalize models in the previous literature, which encompass both negative and positive externalities, by incorporating a consumer’s discount factor for past sales as a parameter. Analyzing our model reveals oscillation as the optimal price path in the presence of negative externalities.     

Monopolistic third-degree price discrimination under vertical product differentiation

This paper shows in a vertical product differentiation model with variable costs of quality that monopolistic third-degree price discrimination always reduces welfare regardless of whether the quality is fixed or is endogenous. The results provide rich implications for antitrust policy.     

Advance-purchase discounts as a price discrimination device

In an intertemporal setting in which individual uncertainty is resolved over time, advance-purchase discounts can serve to price discriminate between consumers with different expected valuations for the product. Consumers with a high expected valuation purchase the product before learning their actual valuation at the offered advance-purchase discount; consumers with a low expected valuation will wait and purchase the good at the regular price only in the event where their realized valuation is high. We characterize the profit-maximizing pricing strategy of the monopolist. Furthermore, adopting a mechanism design perspective, we provide a necessary and sufficient condition under which advance-purchase discounts implement the monopolist's optimal mechanism.     

Is America’s National Pastime too time consuming?

World Series telecasts are now an inferior good. Income and the time cost of consumption interact so that a ten percent income increase reduces viewership by 1.8 million households. Increased availability of substitutes reduces ratings but increased drama improves them.     

Licensing to a durable-good duopoly in patent litigation

Incorporating patent litigation into a durable-good duopoly model, we revisit the optimal licensing contract on a cost-reducing innovation. We find that both the optimal licensing contract and the innovator's licensing revenue are closely related to the patent's strength, i.e., the probability it would be found valid if tested in court. It is shown that, for a relatively weak patent (patent's strength is low), it's optimal for the innovator to charge the royalty rate as high as possible coupled with a negative fixed fee. But for a relatively strong patent (patent's strength is high), contract involving the combination of a medium level royalty rate and a positive fixed fee is optimal. We also discuss how the patent's strength affects the social welfare of a patent. Finally we present two policy suggestions that may alleviate the social welfare loss raised by the licensing of weak patents.     

Platform intermediation in a market for differentiated products

We study a two-sided market where a platform attracts firms selling differentiated products and buyers interested in those products. In the subgame perfect equilibrium of the game, the platform fully internalises the network externalities present in the market and firms and consumers all participate in the platform with probability one. The monopolist intermediary extracts all the economic rents generated in the market, except when firms and consumers can trade outside the platform, in which case consumers obtain a rent that corresponds to the utility they would get if they did trade outside the platform. The market allocation is constraint-efficient in the sense that the monopoly platform does not introduce distortions over and above those arising from the market power of the differentiated product sellers. An increase in the number of retailers increases the amount of variety in the platform but at the same time increases competition. As a result, the platform lowers the firm fees and raises the consumer charges. In contrast, an increase in the extent of product differentiation raises the value of the platform for the consumers but weakens competition. In this case, the platform raises both the charge to the consumers and the fee for the firms.     

Viscous demand

In many markets, demand adjusts slowly to changes in prices, i.e., demand is “viscous”. This viscosity gives each firm some monopoly power, since it can raise its price above that of its competitors without immediately losing all of its customers. The resulting equilibrium pricing behavior and market outcomes can differ significantly from what one would predict in the absence of demand viscosity. In particular, the model explains the importance of market share as an investment, as well as “kinked demand curves”. It also explains how apparently “competitive” pricing behavior can lead to outcomes that mimic those of collusion.     

The monopolist is not the best environmentalist’s best friend: An example

This letter addresses the second-degree price discrimination issue when a monopolized product is tied with environmental quality. The monopolist may degrade environmental quality too much when marginal valuations of environmental quality and the good itself are positively related across consumers.     

Do Consumers Learn from Their Own Experiences?

It is natural to think that a household may learn from its own experiences and subsequently increase savings. This paper tests empirically the hypothesis that Japanese households learn from their experiences of large expenditure and increase their targets for precautionary savings after such experiences. The results imply that households raise their targets for precautionary savings by 4–5 percent of annual income in response to such experiences. Moreover, data are consistent with the argument that targets for savings affect actual savings. Assuming this holds, the results in this paper suggest that consumers may increase their actual savings following large expenditure.     

Optimal mechanism design with resale via bargaining

In this paper, we examine the optimal mechanism design of selling an indivisible object to one regular buyer and one publicly known buyer, where inter-buyer resale cannot be prohibited. The resale market is modeled as a stochastic ultimatum bargaining game between the two buyers. We fully characterize an optimal mechanism under general conditions. Surprisingly, in this optimal mechanism, the seller never allocates the object to the regular buyer regardless of his bargaining power in the resale market. The seller sells only to the publicly known buyer, and reveals no additional information to the resale market. The possibility of resale causes the seller to sometimes hold back the object, which under our setup is never optimal if resale is prohibited. We find that the seller?s revenue is increasing in the publicly known buyer?s bargaining power in the resale market. When the publicly known buyer has full bargaining power, Myerson?s optimal revenue is achieved; when the publicly known buyer has no bargaining power, a conditionally efficient mechanism prevails.     

Learning about compliance under asymmetric information

Over time, inspection agencies gather information about firms’ pollution levels and this information may allow agencies to differentiate their monitoring strategies in the future. If a firm is less successful than its peers in reducing emissions, it faces the risk of being targeted for increased inspections in the next period. This risk of stricter monitoring might induce high-abatement cost firms to mimic low-abatement cost firms by choosing lower emission levels, while the latter might try to avoid being mimicked. We explain firms’ compliance decisions and the inspection agency's monitoring strategy by means of a signaling game which incorporates dynamic enforcement and learning. Interestingly, we show that the ongoing signaling game between firm types might lead to firms over-complying with the emission standard.     

Influence Of Over‐ And Underconfidence On A Marriage Market*

This paper examines misconfidence (over‐ or underconfidence) and marriage proposal strategies in a two‐sided search model with non‐transferable utility. Single agents are vertically heterogeneous—there exists a ranking of marital charm (types). It is shown that there are two externalities to over‐ or underconfident behaviour: someone's over‐ or underconfidence affects: (i) the duration of search for others who directly meet over‐ or underconfident agents; and (ii) the marriage decision of others who directly or indirectly meet over‐ or underconfident agents. Furthermore, these externalities prevent the lowest‐type agents from marrying in an equilibrium.     

Non-constant discounting in continuous time

This paper derives the dynamic programming equation (DPE) to a differentiable Markov Perfect equilibrium in a problem with non-constant discounting and general functional forms. Beginning with a discrete stage model and taking the limit as the length of the stage goes to 0 leads to the DPE corresponding to the continuous time problem. The note discusses the multiplicity of equilibria under non-constant discounting, calculates the bounds of the set of candidate steady states, and Pareto ranks the equilibria.     

To be consumed with moderation

We study the optimal behavior of a hyperbolic discounting agent who has incomplete information about his own preferences and can only learn them through consumption. We show that, even if moderate current consumption and moderate future consumption always dominates abstinence, the agent may optimally decide not to consume as a commitment device against inefficient learning that would lead to future excesses. This provides a rationale for why smokers, gamblers or compulsive buyers stick to second-best personal rules of behavior - such as “abstinence” - without invoking standard habit formation arguments. We also study how urges modify the strategy of the individual.     

Do people tip strategically,to improve future service? Theory and evidence

Abstract.  A central question about tipping is whether people tip strategically, to improve future service, or only because tipping is a social norm. I present a theoretical model that incorporates psychological utility associated with tipping (because it is a social norm) and allows tipping to be motivated also by future service considerations. The model predicts that if future service is a reason for tipping, the sensitivity of tips to service quality should be higher for repeating customers than for non-repeating ones. Surveys of 597 restaurant customers are analysed and suggest that future service is not a reason for tipping.     

Is diversity in Delphi panelist groups useful? Evidence from a French forecasting exercise on the future of nuclear energy

This paper further enhances the analytical power of Delphi methodology by identifying the advantages, disadvantages and challenges presented by increasing diversity among panel groups. Using Delphi survey data on the future of nuclear energy in France, we analyze the origins of the variety of judgments within and between two panels: one of experts and one of laypeople. We investigate the determinants of the stability of those opinions both in one given round and over several rounds of opinion-formation. We reach an apparently paradoxical conclusion: that non-expert judgment is less stable, but not necessarily less accurate, than that of experts, judgments on the part of experts sometimes being clouded by self-interest. Apart from highlighting some factors underlying the controversy over nuclear power, our paper calls for greater participatory democracy in Delphi panels, but also demonstrates the limits of such an extension.