Robust monopoly pricing

We consider a robust version of the classic problem of optimal monopoly pricing with incomplete information. In the robust version, the seller faces model uncertainty and only knows that the true demand distribution is in the neighborhood of a given model distribution. We characterize the pricing policies under two distinct decision criteria with multiple priors: (i) maximin utility and (ii) minimax regret. The equilibrium price under either criterion is lower then in the absence of uncertainty. The concern for robustness leads the seller to concede a larger information rent to all buyers with values below the optimal price without uncertainty.     

Comparative statics of monopoly pricing

Summary. When consumers' willingness-to-pay increases by a uniform amount, the change in the resulting monopoly price is generally indeterminate. Our analysis identifies sufficient conditions on the underlying demand curve which predict both the sign and the magnitude of the resulting price change.     

Mixed pricing in oligopoly with limited monopoly

We analyze price competition between two brands. Buyers consist of switchers and two segments of customers with limited brand loyalty. We identify a unique symmetric mixed-strategy price equilibrium and find that competition is most relaxed when there exists some switchers.     

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.     

Optimal pricing of a two-sided monopoly platform with a one-sided congestion effect

This paper studies the optimal pricing of a two-sided monopoly platform when one side is affected by congestion. We show that the divide-and-conquer pricing strategy (or skewed pricing) depends not only on the relative magnitude of the sides’ price elasticities of demand but it also depends on the marginal congestion cost that an agent imposes on the others. Compared with the no-congestion case, this pricing strategy gives rise to some interesting features that violate the results of Rochet and Tirole (J Eur Econ Assoc 1:990–1029 in 2003, Rand J Econ 37:645–667 in 2006). In the case of equal price elasticities of demand, the no-congested side is charged the highest price. On the other hand, in the case of different price elasticities, the platform congestion pricing depends on a certain threshold of the marginal congestion cost. We show, under some conditions, that the divide-and-conquer pricing strategy is reversed. In the social context, the Rochet and Tirole’s (J Eur Econ Assoc 1:990–1029 in 2003) cost allocation condition is modified by the congestion cost. We show that the congestion does not only affect the buyers’ contribution to the sellers’ surplus, but it also affects the sellers’ contribution to the buyers’.     

Intertemporal pricing in markets with differential information

Summary This paper provides a theory of intertemporal pricing in a small market with differential information about the realizations of a stochastic process which determines demand. We study the sequential equilibria in stationary strategies of the stochastic game between a seller and buyer. The seller has zero cost of producing one unit of a non-durable good in all market periods. The buyer's value for the good is a random variable governed by a simple Markov process. At the beginning of each period the unit's value is determined by nature and is privately revealed to the buyer. The seller posts a single price offer each period, which the buyer either accepts or rejects. Only two types of price paths emerge in equilibrium: either prices are constant, or they have persistent cycles between a low and a high value. In both cases, however, prices are sticky in the sense that changes in price are less frequent than changes in the economy's fundamentals.We thank John Rust and Asher Wolinsky for helpful comments. We also gratefully acknowledge financial support from NSF grant SES 89-09242.     

Intertemporal pricing in laboratory posted offer markets with differential information

Summary. This paper analyzes intertemporal seller pricing and buyer purchasing behavior in a laboratory retail market with differential information. A seller posts one price each period that a buyer either accepts or rejects. Trade occurs over a sequence of "market periods" with a random termination date. The buyer and seller are differentially informed: The seller's cost of producing a unit of a fictitious good is known and constant in all periods, but the buyer's value for the good (demand) is a random variable governed by a Markov Process whose structure is common knowledge. At the beginning of each period the unit's value is determined by "nature" and is privately revealed only to the buyer. The market termination rule is a binary random variable. We conduct 32 laboratory experiments designed to study intertemporal pricing by human subjects in the Posted Offer Institution when demand follows a stochastic process. There are four series of experiments: 8 with simulated buyers, 8 with inexperienced subjects, 8 with once experienced subjects, and 8 with twice experienced subjects.     

Regulating monopoly price discrimination

There is a substantial literature assessing the impact of entry restrictions created by state certificate-of-need (CON) programs on hospital and nursing home markets, but comparatively little research has focused on CON for home health agencies (HHAs). We assessed the impact of state CON programs for HHAs, and for potential substitute service providers, on quality ratings for HHAs. HHA quality ratings were obtained from the Home Health Compare database developed by the Centers for Medicare and Medicaid Services (CMS) for the last quarter of 2010 through the last quarter of 2013. The HHA-level data were augmented with county-level area characteristics for each HHA in the CMS database. An ordered logit model was used to estimate the association between state CON restrictions and Low, Medium, and High quality categories, adjusted for HHA and area characteristics. The results indicated that HHAs in states with CON for HHAs were less likely to have High quality ratings, and more likely to have Medium quality ratings, compared to agencies in states without CON for home health. Additional research is needed to assess whether the apparent adverse impact of CON on HHA quality is related to diminished competition among HHAs in states with CON.     

Political entrepreneurship and bidding for political monopoly

An analytical framework for dealing with political entrepreneurship and reform is proposed which is based on some new combinations of Schumpeterian political economy, an extended version of Tullock's model of democracy as franchise-bidding for natural monopoly and some basic elements of New Institutional Economics. It is shown that problems of insufficient award criteria and incomplete contracts which may arise in economic bidding schemes, also – and even more so – characterise political competition. At the same time, these conditions create leeway for Schumpeterian political entrepreneurship. The same is true for various barriers to entry in politics. These barriers affect a trade-off between political stability and political contestability which will be discussed with special emphasis on incentives and opportunities for political entrepreneurship in the sense of risking long-term investments in basic political reforms.     

Second degree price discrimination and natural monopoly

This paper considers the efficiency of a contestable natural monopoly if consumers are heterogeneous and the monopolist can differentiate prices imperfectly. The paper shows that a “no‐distortion‐at‐the‐top” result, which is standard in models with restricted entry, may also appear in a contestable market. Depending on cost and demand structures, first best efficiency can also be a sustainable equilibrium. However, due to the existence of a continuum of equilibria, first best efficiency is not guaranteed. Most notably, even a stable “distortion‐at‐the‐top” result is possible.     

An alternative to natural monopoly

Journal of Regulatory Economics - We consider a shared ownership arrangement among consumers/owners as a means to organize production with an underlying decreasing average cost function typical of...     

Special offers and clustering under symmetric monopoly

A monopolist offerings variants on a Salop circle is analyzed with respect to his choice of product variants and prices. Although we assume a uniform distribution of tastes, the profit-maximizing pattern is not equidistant in variants and prices are not the same for all variants.Instead, under fairly general circumstances, there exists at least one cheap variant (special offer) around which the more expensive ones are clustered. This result depends on the assumption that the market size is not fixed as in most other models of this sort, but depends on prices in a straightforward manner.     

Derived factor demand under monopoly

Summary. We generalize the formula provided by Maurice and Ferguson (1973) for derived factor demand in a monopoly by extending it to cross-price effects and taking into account other variables which may, within an general-equilibrium framework, affect demand, such as income. Hopefully, both features increase the applicability of this formula in general-equilibrium analyses. Received: April 5, 2000; revised version: June 7, 2001     

Licensing to a durable-good monopoly

This paper incorporates a durable-good monopoly model and re-examines the argument on licensing contracts. It shows that, from the perspective of the non-producing patent holder, the optimal licensing contract depends on the nature and the degree of the innovations. Specifically, for small cost-reducing or quality-improving innovations, charging a royalty is optimal. For large cost-reducing or quality-improving innovations, licensing by means of a fee and a royalty is superior to using either alone. However, for the case of horizontal product innovations, using a fee contract is optimal.     

Mixed markets in bilateral monopoly

Should we expect to see patterns in the privatization of a public bilateral monopoly? To address this question, the paper analyzes the welfare implications of privatization and examines the interplay of firm location in the vertical stream, differential priorities on private and public profit in welfare and cost asymmetries in a mixed bilateral monopoly. We conclude that merely comparing cost savings from privatization upstream/downstream, is inadequate. If public profit is relatively insignificant in welfare, then only relative cost savings matter. However, if public profit is sufficiently important, then privatization downstream will maximize welfare if it is as (or more) cost effective compared to privatization upstream. We find that downstream privatization can be better than upstream privatization even when the latter is more cost effective than the former.     

软件产品定价的常见问题及定价策略

本篇文章首先对软件产品定价方式进行阐述,从定价模式问题、价格变动问题、定价针对性问题等多个方面,对软件产品定价的常见问题进行分析,并以此为依据,提出软件产品定价策略。     

Scale economies and existence of sustainable monopoly prices

The size of the firm relative to market demand is crucial to a determination of whether there exist sustainable monopoly prices. In the one product case the size of the firm is its minimum efficient scale. In the multiproduct case size is defined by a set of outputs at which cost complementarities are present. The analysis shows that when the size of the firm is sufficiently large, there exist anonymously equitable Aumann-Shapley prices. Further, at these prices natural monopoly is sustainable against rival entry. The Aumann-Shapley price are also shown to be quantity sustainable in the sense of Brock and Scheinkman.