Bundled discounts: Strategic substitutes or complements?

Bundled discounts by pairs of otherwise independent firms play an increasingly important role as a strategic tool in several industries. Given that prices of firms competing for the same consumers are strategic complements, one would expect their discounts levels also to be strategic complements. However, in this paper we show that under some circumstances bundled discounts may be strategic substitutes. This occurs under vertically differentiated products where a low quality pair of producers may indeed prefer to lower its discount after an increase in the discount offered by a high quality pair of producers.     

Vertical Product Differentiation When Quality is Scarce: The Case of n > 2 Firms

This paper describes a model of vertical product differentiation in which more than two firms compete in quality and price. Quality is of fixed supply, so firms participate in an auction to attain it. Firms then simultaneously choose prices. The paper determines equilibrium bids in the quality auction and the Bertrand equilibrium prices. In equilibrium one firm attains all the units of quality, but pays a price such that it, like the minimum-quality firms, earns zero profits. Aggregate welfare is computed, and is shown to decrease as competition increases.     

ENDOGENOUS TIMING IN A MIXED DUOPOLY: WEIGHTED WELFARE AND PRICE COMPETITION*

In this paper we analyse the endogenous order of moves in a mixed duopoly for differentiated goods. Firms choose whether to set prices sequentially or simultaneously. The private firm maximises profits while the public firm maximises the weighted sum of the consumer and producer surpluses (weighted welfare). It is shown that the result obtained in equilibrium depends crucially on the weight given to the consumer surplus in weighted welfare and on the degree to which goods are substitutes or complements. We also analyse whether the equilibria obtained maximise the sum of the consumer and producer surpluses or not. Finally we study whether the nationality of the private firm influences the results.     

PRICE AND QUANTITY COMPETITION WITH ASYMMETRIC COSTS IN A MIXED DUOPOLY: A TECHNICAL NOTE

We consider a mixed duopoly in which private and public firms can choose to strategically set prices or quantities when the public firm is less efficient than the private firm. Thus, even with cost asymmetry, we obtain exactly the same result (i.e., Bertrand competition) of Matsumura and Ogawa (2012) if Singh and Vives’ (1984) assumption of positive primary outputs holds. However, compared to endogenous determination of the type of contract without cost asymmetry, our main finding is that in the wider range of cost asymmetry, different type(s) of equilibrium related to or not related to the limit‐pricing strategy of the private firm can be sustained. Thus, when considering an implication on privatization, we may overestimate the welfare gain of privatization because Cournot competition takes place after privatization even though cost asymmetry exists between firms. While the result of Matsumura and Ogawa (2012) holds true if the goods are complements, we find the novel results in the case of substitutes.     

A Strategic Approach to Offshoring

In the context of a simple model of strategic offshoring, we investigate the reasons why firms may simultaneously source fragments domestically and internationally. We explore the impacts of offshoring on the production pattern of finished goods, tradable fragment prices, and welfare in a partial equilibrium context. The policy implications of attempts to restrict offshoring are also considered. The analysis shows that an offshoring equilibrium may exist in the absence of comparative advantage in fragments, that offshoring is welfare improving if the costs are sufficiently small, and that attempts (by both countries) to prevent offshoring may paradoxically lower both fragment use and price.     

Leadership and Privatisation in a Mixed Multi‐product Oligopoly: An Endogenous Timing Model

This paper examines both leadership choice and welfare consequences of privatisation in an endogenous timing mixed multi‐product oligopoly. It shows that a multi‐product firm undermines the welfare‐maximising efforts of a public firm by cross‐subsidising. The paper demonstrates that a unique subgame perfect Nash equilibrium emerges in a multi‐product market, in contrast to the multiple equilibria of a single‐product market. This unique equilibrium indicates that profit‐maximising private firms retain leadership while a welfare‐maximising public firm acts as a follower. Even on the off‐equilibrium path where the public firm acts as a leader, it rarely generates maximum social welfare. However, privatising the public firm usually harms social welfare and results in a different timing structure in equilibrium.     

INTER-MARKET COMPETITION THROUGH BUNDLING IN THE PRESENCE OF COST ADVANTAGE

This paper presents a model of inter-market competition through bundling wherein each firm has a cost advantage in a different market and competes against fringe firms. Without cost saving through bundling, there is no equilibrium in which the bundled good is provided. However, with cost saving through bundling, there exist equilibria in which one firm provides bundling and the other does not. In this case, bundling can be used as a device for entry deterrence. Finally, we illustrate that bundling can reduce social welfare by discouraging the efficient entrant from entering the market.     

Industry equilibrium with outside financing and moral hazard: Implications for market integration

In this paper, we study industry equilibrium under the assumptions that (1) firms need outside financing and (2) they have a moral hazard problem in taking potentially excessive risks. We characterize an industry equilibrium with credit rationing, where firms choose not to take risks, and compare this to the industry equilibrium in the absence of credit rationing. In both cases, we show that competition increases and prices decline as markets integrate. However, in markets with credit rationing there is typically more exit, a smaller decline in prices and, most strikingly, the market value of the industry increases rather than decreases.     

Sequential mergers and competition policy under partial privatisation

We examine optimal merger and privatisation policies in a partially privatised oligopoly with differentiated goods. We first show that under the subgame perfect Nash equilibrium, sequential mergers either emerge completely or do not emerge at all. Given this outcome, we derive the following policy implications. First, the level of social welfare can be U‐shaped with respect to the number of merged firm pairs. That is, given that there are some mergers that have already taken place, further mergers may actually lead to welfare improvement. However, these welfare‐improving mergers may not be privately profitable, implying that merger‐friendly policies are appropriate. Second, policymakers can halt privatisation in order to diminish the private incentive for further sequential (welfare‐deteriorating) mergers and improve welfare. Third, full nationalisation is never optimal unless the goods are homogeneous or independent. Our results are applicable to the Japanese life insurance industry and the partial privatisation of Japan Post Insurance.     

Exporters in cross‐section: Direct versus intermediated trade

How do producers that export their goods directly differ from those that export through trade intermediaries? We take a standard model of trade with heterogeneous firms and add heterogeneity in quality to the usual heterogeneity in productivity. Modeling trade intermediaries as increasing marginal costs but decreasing fixed costs of exporting, we find that only firms with the highest quality‐adjusted productivity levels choose to export directly. Under certain parameter restrictions, the model shows that direct exporters tend to be larger and charge higher prices for their goods. In contrast to the literature, using Chinese customs data, we confirm that direct exporters do charge higher prices for their goods.     

Dynamic adverse selection and the supply size

In this paper we examine the problem of dynamic adverse selection in a stylized market where the quality of goods is a seller׳s private information while the realized distribution of qualities is public information. We obtain that full trade occurs in every dynamic competitive equilibrium. Moreover, we show that if prices can be conditioned on the supply size then a dynamic competitive equilibrium always exists, while it fails to exist if prices cannot be conditioned on the supply size and the frequency of exchanges is high enough. We conclude that the possibility to condition prices on the supply size allows us to reach efficiency in the limit for exchanges becoming more and more frequent, while otherwise the welfare loss due to delays of exchanges remains bounded away from zero.     

THE EXISTENCE OF EQUILIBRIUM IN A DIFFERENTIATED DUOPOLY WITH NETWORK EXTERNALITIES*

The existence of a pure‐strategy subgame‐perfect equilibrium in qualities and prices is investigated in a duopoly model of vertical differentiation where quality improvements require a quadratic variable cost and network externalities operate. We show that there exists a parameter region where the incentive to predate at the quality stage prevents firms from reaching a pure‐strategy non‐cooperative equilibrium with prices above marginal costs. If network externalities are sufficiently large, a Bertrand equilibrium with zero profits may arise, although the amount of product differentiation is strictly positive.     

STRATEGIC TRADE AND DELEGATED COMPETITION WITH ENDOGENOUS QUALITY CHOICE: IS EXPORT POLICY NEEDED?

This paper introduces the relative‐performance contract into a vertically differentiated product market and examines how the optimal trade policy and quality choice respond to the incentive mechanism. We find that the high quality firm makes better use of the delegation than the low quality firm in a cross‐border decentralized model. The main difference between the present paper and the strategic trade theory literature is that in this paper the optimal policy is free trade, which does not depend on whether firms compete by prices or quantities, and on whether the goods are substitutes or full complements.     

TIME TO MARKET AND IMPATIENT CUSTOMERS

We analyse the decision of firms about when to launch their products on the market when they produce differentiated goods and compete on prices. We find two subgame perfect equilibria: one in which the high‐quality firm holds its leadership in quality, and another in which the low‐quality firm leapfrogs its rival. When the initial level of differentiation is high enough, the low‐quality firm always launches first. Finally, we extend this model to analyse commercial piracy. We obtain that pirates are highly unlikely to launch the illegal copy first because they would bear a higher penalty and a higher risk of being detected.     

A Model of Shareholder Discounts

Many companies supplying consumption goods and services provide their shareholders with price discounts. This paper presents a simple model describing shareholder discounts and consequent market equilibrium. It is found that shareholder discounts resemble many features of two-part tariffs. The welfare analysis shows that the equilibrium outcomes with shareholder discounts are Pareto inefficient. Compared with uniform pricing, shareholder discounts unambiguously increase major shareholders' wealth but their effects on consumers and society are generally ambiguous.     

Welfare reducing licensing

In this paper, we characterize situations where licensing a cost reducing innovation to a rival firm using two-part tariff contracts (a fixed fee plus a linear per unit of output royalty) reduces social welfare. We show that it occurs if (i) the firms compete in prices, (ii) the innovation is large enough but not drastic, and (iii) the goods are close enough substitutes. Moreover, we show that, regardless of the type of competition, first, the optimal contract always includes a positive royalty and, second, even drastic innovations are licensed whenever the goods are not homogeneous.     

Welfare effects of monetary policy in an economy with vertical production and trade: An analysis based on the perspective of local currency pricing

By incorporating the factor of firms' asymmetric price setting behavior into the two-country model with vertical production and trade, we analyze how one country's monetary policy affects the welfare of both countries. We show that an expansionary monetary policy has (i) a beggar-thyself effect if the ratio of the non-expanding country's intermediate goods firms that set their export prices in the local currency is significantly low and (ii) a prosper-thy-neighbor effect in our model regardless of the ratio of either country's intermediate goods firms that set their export prices in the local currency.     

Credence Goods,Misleading Labels,and Quality Differentiation

Due to differences in information disclosure mechanisms, consumer misinformation about the quality of many credence goods is more endemic at intermediate levels of the quality spectrum rather than at the extremes. Using an oligopoly model of vertical product differentiation, we examine how consumers’ overestimation of the quality of intermediate-quality products affects firms’ incentives to improve product quality. The firms non-cooperatively choose the quality of their product before choosing its price or quantity. Irrespective of the nature of second stage competition, Bertrand or Cournot, we find that quality overestimation by consumers increases profit of the intermediate-quality firm, and motivates it to raise its product’s quality. In response, the high-quality firm improves its product quality even further but ends up with lower profit. Overall, average quality of the vertically differentiated product improves, which raises consumer surplus. Social welfare increases when the firms compete in prices but falls when they compete in quantities.     

Certification and minimum quality standards when some consumers are uninformed

We compare certification to a minimum quality standard (MQS) policy in a duopolistic industry where firms incur quality-dependent fixed costs and only a fraction of consumers observe the quality of the offered goods. Compared to the unregulated outcome, both profits and social welfare would increase if firms could commit to producing a higher quality. An MQS restricts the firms׳ quality choice and leads to less differentiated goods. This fuels competition and may therefore deter entry. A certification policy, which awards firms with a certificate if the quality of their products exceeds some threshold, does not restrict the firms׳ quality choice. In contrast to an MQS, certification may lead to more differentiated goods and higher profits. We find that firms are willing to comply with an ambitious certification standard if the share of informed consumers is small. In that case, certification is more effective from a welfare perspective than a minimum quality standard because it is less detrimental to entry.     

PRICE AND QUANTITY COMPETITION IN A UNIONISED MIXED DUOPOLY: THE CASES OF SUBSTITUTES AND COMPLEMENTS*

We investigate a differentiated mixed duopoly in which private and public firms can choose to strategically set prices or quantities when unions are present. For the case of a unionised mixed duopoly, there exists a dominant strategy only for the public firm that chooses Bertrand competition irrespective of whether the goods are substitutes or complements; there is no dominant strategy for a private firm. Thus, we show that regardless of the nature of goods, social welfare under Bertrand competition is always determined in equilibrium, wherein Bertrand competition entails higher social welfare than Cournot competition. Moreover, our main results hold irrespective of the nature of goods, with the exception that when a sufficiently large parameter of complements is employed, the ranking of a private firm's profit is not reversed, which is in contrast to the standard findings.