Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly

This paper considers a differentiated goods managerial mixed duopoly composed of one social welfare‐maximising public firm and one profit‐maximising private firm. We model the firm choice of the strategic contract. We find that when the strength of network effects is sufficiently strong, the price competition can become the unique equilibrium market structure. Furthermore, we show that there exists an area of the degree of product differentiation and the strength of network effects such that the situation wherein the public firm chooses its price contract whereas the private firm chooses its quantity contract can become the unique equilibrium structure.     

Endogenous Choice of Strategic Contracts in a Mixed Duopoly with Bargaining Over Managerial Delegation Contracts

We revisit the endogenous choice problem of strategic contracts for the public firm and the private firm in a managerial mixed duopoly with differentiated goods. We consider the situation wherein the managerial delegation contracts are determined by maximising social welfare within the public firm, which is equal to the objective function of its owner, and through bargaining over the content of managerial delegation contracts between the owner and manager within the private firm. We show that, in equilibrium, when the manager of the private firm has high bargaining power relative to that of the owner, the public firm chooses a price contract, while the private firm chooses a quantity contract. However, there is no equilibrium market structure under the pure strategic contract class when the manager has sufficiently low bargaining power relative to that of the owner.     

A Mixed Duopoly With Switching Costs

We examine the effects of switching costs in a two‐period Hotelling‐type model where a profit‐maximising private firm competes with a welfare‐maximising public firm. We show that, in contrast with the case in which both firms are private, where switching costs raise prices in both periods, in the mixed duopoly they raise prices in the second period but reduce them in the first period. Moreover, the first‐period price reduction is of such magnitude that switching costs reduce firms’ profits and raise consumer welfare. We also find that switching costs affect the consequences of privatisation in favour of firms and against consumers.     

Partial privatization in mixed duopoly with price and quality competition

We analyze price and quality competition in a mixed duopoly in which a profit-maximizing private firm competes against a state-owned public firm. We first show that the welfare-maximizing public firm provides a lower quality product than the private firm when they are equally efficient. In order to maximize social welfare, government manipulates the objective of the public firm that is given by a convex combination of profits and social welfare. It is demonstrated that an optimal incentive of the public firm is welfare maximization under the absence of quality competition, but it is neither welfare maximization nor profit maximization under the presence of quality competition. The result supports a completely mixed objective between welfare and profit maximizations or partial privatization of the public firm.      

The existence of non-elite private schools

We provide an explanation to the puzzle of the existence of paid-for private schools that offer lower quality education than some tuition-free public alternatives. We consider a model of a city composed of two communities: the urban area and the suburbs. The suburban public school provides higher quality education at an implicit price: the higher tax burden plus a housing rent premium. If that price is high enough and the urban public school has a sufficiently low quality, intermediate income households live in the urban area and use a private school. Intermediate quality private schools, then, exist to serve these households' demand. Lower and higher income households use different quality public schools. Therefore, perfect income stratification across public and private education does not characterize this equilibrium.     

Organizational Structure and the Choice of Price versus Quantity in a Mixed Duopoly

We consider the choice of price/quantity of a public and a private firm in a mixed differentiated duopoly. First, we study the way in which the strategic choice of the market variable is affected by different given organizational structures (managerial or entrepreneurial) of the public and the private firm. Second, we investigate how the price/quantity choice interacts with the endogenous choice of the organizational structure, thus determining a subgame perfect equilibrium at which firms choose to behave as price‐setters and to adopt a managerial structure.     

Mixed Duopoly with Product Differentiation: Sequential Choice of Location

We investigate the sequential choice of location in a mixed duopoly, where a welfare–maximising public firm competes against a profit–maximising private firm. We examine the desirable role of the public firm in a mixed market. We also consider the effect of price regulation. We find that the public firm should become the follower (leader) if a price regulation is (is not) imposed. We also find that neither price regulation nor privatisation of the public firm improves welfare.     

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.     

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.     

A NOTE ON FOREIGN DIRECT INVESTMENT AND EXPORTS IN VERTICALLY DIFFERENTIATED INDUSTRIES

We examine the FDI versus exports decision of a multiproduct multinational firm which supplies vertically differentiated products, and show that the proximity‐concentration trade‐off can generate FDI‐export coexistence, i.e., the firm supplies the low‐quality products through FDI and the high‐quality products through exports. We also show that the opposite can never happen. Moreover, when the multiproduct multinational firm faces price competition in the target markets, it has an incentive to use trade costs to soften price competition, which can reduce its FDI incentive.     

LOCATION OF PUBLIC FIRM IN THE PRESENCE OF MULTINATIONAL FIRM: A MIXED DUOPOLY APPROACH*

By incorporating a multinational private firm into the mixed duopoly model with Hotelling‐type spatial competition, we show that the private firm's nationality is a matter of the public firm's location. As the share of foreign capital increases in the private (multinational) firm, the public firm moves to a central place. The effects of price regulation and sequential location choice are also discussed.     

Technology and public goods

This paper presents a theory of public goods based on production theory where public goods are viewed as inputs to the production process. We examine the pure case of public inputs (no private inputs) as well as the mixed case (private and public inputs). We show how the case of public inputs is related to certain forms of nonjoint production, and we characterize it in terms of variable profit and joint cost functions. Comparative statics results are derived graphically in the two-by-two case.     

ARE CONSUMERS MORE LOYAL TO NATIONAL BRANDS THAN TO PRIVATE LABELS?

The evolution of private labels (PLs) can be understood in terms of a strategy adopted by the retail industry with the aim of competing with national brands (NBs). In the 1990s, this strategy led to the development of ‘me too’ products, which currently represent the largest share of store brand products. Since the early 2000s, retailers have widened the range of their store brands by introducing high‐quality products. The aim of this study was to estimate consumers’ attachment to ‘me‐too’ and niche PLs respectively, as compared to NBs. We captured the degree of maturity of these PLs through their price‐elasticities, computed for three staple goods offered by three mass retail companies. It was found that price sensitivity does not differ much between the ‘me‐too’ PLs and the corresponding NBs. This result confirms that ‘me‐too’ products are now considered reliable quality brands. However, in the high quality segment, consumers remain more sensitive to the price of PLs than to that of NBs, a characteristic which may relate to their recent introduction on the market.     

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.     

Wagner’s Law and Fiscal Illusion: An analysis of state government finances in Brazil

The aim of this article is to analyze state‐level public finances in Brazil. We examine the dynamics of governmental spending in a panel of 26 Brazilian states in search of evidence of Wagner’s Law and Fiscal Illusion Hypothesis. For the period ranging from 2002 to 2015, three methodologies are applied: dynamic ordinary least squares (DOLS), fully modified ordinary least squares (FMOLS), and pooled mean group (PMG). The main empirical results found indicate that (1) there is strong evidence of Fiscal Illusion caused by public deficit and by central government transfer grants; (2) there are possible Flypaper Effects; (3) there is no evidence in support of Wagner’s Law; (4) there is low publicness degree of local expenditures; (5) due to Fiscal Illusion, less‐developed Brazilian states tend to be stuck in a public expenditure growth mechanism, especially in expenses related to non‐public goods, which tend to benefit private interests and lobby groups.     

SPINOFFS AND THE MARKET FOR IDEAS*

We present a theory of entry through spinoffs where workers generate ideas and possess private information concerning their quality. Because quality is privately observed, adverse selection implies that the market can only offer a price that reflects the average quality of ideas sold. Only workers with good ideas decide to spin off, whereas workers with mediocre ideas sell them. Existing firms pay a price for ideas sold in the market that implies zero expected profits. Hence, firms’ project selection is independent of firm size, which can lead to scale‐independent growth. This mechanism results in invariant firm‐size distributions that resemble the data.     

Mixed duopoly: Differential game approach

This study formulates a dynamic mixed oligopoly model, in which a state‐owned public firm competes against a private firm over multiple periods. We adopt a differential game formulated by Fershtman and Kamien [Econometrica 55 (1987), pp. 1151–1164] and investigate how the dynamic competition affects the optimal privatization policy. We characterize the open‐loop Nash equilibrium (OLNE) and Markov‐perfect Nash equilibrium (MPNE). We show that in the MPNE, an increase in the degree of privatization has a nonmonotonic effect on the price, increasing it in a wide range of parameter spaces, which is in sharp contrast to the result in the OLNE or static analyses. We also find that the optimal degree of privatization is higher in the MPNE than that in the OLNE and static equilibrium. These results suggest that intertemporal strategic behavior changes the optimal privatization policy.     

Government and the Reverse-Holdup Problem

When the government bargains with a private firm, the firm cares about only its own profits, but the firm's profits may also enter into the government's utility function. As a result, the government will not bargain as aggressively for a low price. This can lead the government to “over pay” for quality. In contrast to the standard holdup problem, this reverse‐holdup problem can give the firm an incentive to overinvest in non‐contractible quality. The paper also discusses some examples where the reverse‐holdup problem may explain excessive quality in government procurement.     

STRATEGIC BUDGET CONSTRAINTS IN A UNIONIZED MIXED OLIGOPOLY

This paper considers the budget‐constraint problem where the government decides whether or not to impose a budget constraint on the public firm, assuming the public firm is less efficient than private firms. We find that imposing budget constraints on the public firm is the preferred choice because of the welfare‐improving effect. Our model suggests that the wage levels of the public firm can be lower or higher than those of private firms depending upon the degree of inefficiency. These results differ from Ishida and Matsushima's findings that in a unionized mixed duopoly, tight budget constraints can enhance social welfare when the public firm is as efficient as private firms.     

Quality and Welfare in a Mixed Duopoly with Regulated Prices: The Case of a Public and a Private Hospital

Abstract. Hospital markets are often characterized by price regulation and the existence of different ownership types. Using a Hotelling framework, this paper analyses the effect of heterogeneous objectives of hospitals on quality differentiation, profits and overall welfare in a price‐regulated duopoly with exogenous symmetric locations. In contrast to other studies on mixed duopolies, this paper shows that, in this framework, privatization of the public hospital may increase overall welfare. This holds if the public hospital is similar to the private hospital or less efficient and competition is low. The main driving force is the single‐regulated price which induces under‐provision (over‐provision) of quality of the more (less) efficient hospital compared with the first best. However, if the public hospital is sufficiently more efficient and competition is fierce, a mixed duopoly outperforms both a private and a public duopoly due to an equilibrium price below (above) the price of the private (public) duopoly. This medium price discourages over‐provision of quality of the less efficient hospital and – together with the non‐profit objective – encourages an increase in quality of the more efficient public hospital.