Public Sector Rationing and Private Sector Selection

We study the interaction between nonprice public rationing and prices in the private market. Under a limited budget, the public supplier uses a rationing policy. A private firm may supply the good to those consumers who are rationed by the public system. Consumers have different amounts of wealth, and costs of providing the good to them vary. We consider two regimes. First, the public supplier observes consumers’ wealth information; second, the public supplier observes both wealth and cost information. The public supplier chooses a rationing policy, and, simultaneously, the private firm, observing only cost but not wealth information, chooses a pricing policy. In the first regime, there is a continuum of equilibria. The Pareto dominant equilibrium is a means‐test equilibrium: poor consumers are supplied while rich consumers are rationed. Prices in the private market increase with the budget. In the second regime, there is a unique equilibrium. This exhibits a cost‐effectiveness rationing rule; consumers are supplied if and only if their cost–benefit ratios are low. Prices in the private market do not change with the budget. Equilibrium consumer utility is higher in the cost‐effectiveness equilibrium than the means‐test equilibrium.     

Consumer search markets with costly revisits

This paper characterizes equilibrium outcomes in consumer search markets taking the cost of going back to stores already searched explicitly into account. We show that the optimal sequential search rule under costly revisits is very different from the traditional reservation price rule in that it is non-stationary and not independent of previously sampled prices. We explore the implications of costly revisits on market equilibrium in two celebrated search models. In the Wolinsky model, some consumers search beyond the first firm. In this class of models, costly revisits do make a substantive difference and their impact can be of the same order of magnitude as the initial search cost. In the Stahl oligopoly search model where consumers do not search beyond the first firm, there remains a unique symmetric equilibrium that has firms use pricing strategies that are identical to the perfect recall case.     

Tax Competition in Vertically Differentiated Markets with Environmentally Conscious Consumers

This paper analyses the effects of tax competition on environmental product quality, pollution and welfare in a two-country, vertically differentiated, international duopoly, in which consumers are environmentally conscious. The firm in each country chooses first the environmental quality of its product (which reflects the emissions generated in the production process) and then the price. In equilibrium one country will be more polluted than the other because firms choose different levels of environmental quality of their products. We find that a country’s optimal commodity tax is higher if the domestic firm is the more polluting supplier. Furthermore, non-cooperative commodity tax rates are inefficiently high in equilibrium. This is because, in this framework with environmentally aware consumers, commodity taxes affect the choice of firms regarding their emissions. Therefore, a domestic tax reduction not only raises the profits of the foreign firm but also lowers its emission levels, resulting in higher welfare for the other country. We also analyse the optimal cooperative and non-cooperative commodity and emission taxes with border tax adjustments. With these two policy instruments available, commodity taxes are higher.     

Do cost efficiency gap and foreign competitors matter concerning optimal privatization policy at the free entry market?

In this paper, we demonstrate that in contrast to the case with exogenous number of foreign private firms, partial privatization is always the best policy for the public firm in long-run equilibrium, which casts doubt on the robust result in Matsumura and Kanda (J Econ 84(1):27–48, 2005) who argued that welfare-maximizing behavior by the public firm is always optimal in mixed markets. Critical cost gap determines that long-run degree of privatization is larger than the short-run one. In particular, regarding the scenario wherein one public firm competes with domestic private firms and foreign private firms, equilibrium price is lower than marginal cost of public firm instead of being equivalent to marginal cost of the public firm, and that public firm’s outputs, profit, and social welfare is the smallest in the concerned mixed oligopoly models.     

Does timing of decisions in a mixed duopoly matter?

We determine the endogenous order of moves in a mixed price-setting duopoly. In contrast to the existing literature on mixed oligopolies we establish the payoff equivalence of the games with an exogenously given order of moves if the most plausible equilibrium is realized in the market. Hence, in this case it does not matter whether one becomes a leader or a follower. We also establish that replacing a private firm by a public firm in the standard Bertrand?CEdgeworth game with capacity constraints increases social welfare and that a pure-strategy equilibrium always exists.     

Domestic and international mixed models with price competition

This article examines domestic (respectively, international) mixed competition in which a state-owned welfare-maximizing public firm competes on price with a domestic (respectively, foreign) profit-maximizing private firm. The article presents and compares the equilibrium outcomes of the two mixed models.     

Price dispersion in a model of identical agents with perfect information

Abstract. The objective of this paper is to demonstrate that price dispersion is possible even in a world of perfect information and identical consumers and firms. The driving force in the model is service capacity and congestion cost. Each firm chooses a service capacity. Customers of a firm bear a congestion cost which, for a fixed service capacity, is an increasing function of the number of customers served by this firm. We demonstrate that under certain conditions the combined profit of two firms and the total surplus are higher in a price-dispersion equilibrium than in a single-price equilibrium.     

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.     

Market equilibrium in the presence of green consumers and responsible firms: A comparative statics analysis

This paper analyzes how the interaction between green consumers and responsible firms affects the market equilibrium. The main result is that a higher degree of responsibility of consumers and/or firms may both increase and decrease the total abatement and the social welfare. In general an increment in the degree of CSR of a firm entails an increase of its total clean-up and a reduction of the aggregate abatement of its rival. When the rival firm has a high degree of CSR this second effect is stronger than the first and total abatement falls down. At the same time, when the degree of consciousness of consumers and/or firms is very high, responsible firms overprovide environmental quality: in such case a further increment in the level of social responsibility of a market actor may trigger an increase of firms’ total clean-up but a reduction in social welfare.     

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.     

Asymmetric capacity constraints and equilibrium price dispersion

Price dispersion arises despite perfect information about prices. In equilibrium the higher capacity firm adopts a high-price, high-availability strategy, the lower capacity firm adopts a low-price, low-availability strategy, and consumers are more likely to shop at the high-price firm.     

Mixed duopoly, cross-ownership and partial privatization

This paper investigates the effects of cross-ownership on optimal privatization, and vice-versa, in mixed duopoly. It shows that cross-ownership is profitable to the private firm only if the level of privatization of the public firm is sufficiently high. In equilibrium, cross-ownership does not take place even if there is partial privatization. However, the possibility of cross-ownership significantly limits the socially optimal level of privatization in most of the situations. Moreover, it demonstrates that full nationalization is socially optimal, in case of sufficiently convex identical cost functions and homogeneous goods. These results have strong implications to both divestment and competition policies.     

Consumer search with asymmetric price sampling

We explore asymmetries in the way consumers sample prices in a simple sequential search framework. In equilibrium, the price distribution of a firm catering to more local consumers first-order stochastically dominates that of its rival. Prices rise in the degree of asymmetry.     

Product differentiation,prices, and market structure

We examine the effect of cost reductions and advertising on equilibrium prices and the equilibrium market shares. Our equilibrium has the following characteristics; the aggregate demand is the integral of individual demand over consumers, goods are differentiated in the sense of Novshek and Sonnenschein (1979), production functions are constant returns to scale.Cost reductions of a firm, which are due to R&D activity of the firm, lead to declines of equilibrium prices. Advertising of a firm, which is supposed to influence consumers' preferences in favor of the firm, cannot necessarily cause equilibrium prices to go up; one firm can raise its prices, but the other cannot. Contrary to our intuition, cost reductions cannot always enable a firm to capture a larger share.     

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.     

Location of public and private firms under endogenous timing of choices

This paper studies the choices of locations in a mixed duopoly when production costs are endogenously determined and the public firm maximizes a weighted sum of social surplus and its profits. We find that the locations of the two firms are decided simultaneously when the weight of the public firm’s profits in its objective function is high enough. When this is not the case we find that one firm (not always the public firm but sometimes also the private one) behaves as a leader in the choice of location and location decisions are made sequentially. Moreover, in equilibrium, the production cost of the public firm is never higher than that of the private firm.     

Beyond the need to boast: Cost concealment incentives and exit in Cournot oligopoly

This paper studies the incentives for production cost disclosure in an asymmetric Cournot oligopoly. Whereas the efficient firm (consumers) prefers information sharing (concealment) when the firms choose accommodating strategies in the product market, the firm (consumers) may prefer information concealment (sharing) when it can exclude its competitors from the market. Hence, the rankings of expected profit and consumer surplus can be reversed if exit of the inefficient firms is possible. Although the efficient firm has stronger incentives to share information when it shares strategically, there remain cases in which the firm conceals information in equilibrium to induce exit.     

Optimal pricing when rational consumers anticipate monitoring cost

This article considers a monopolistic firm’s optimal pricing decision over two periods among dynamic pricing, preannounced pricing and single pricing. In the models, consumers rationally determine whether to exhibit strategic waiting by weighing their costs against prospectively lower price. Our analysis yields three main results. First, single pricing that completely eliminates strategic waiting surely would be dominated by intertemporal pricing when facing rational consumers. Second, preannounced pricing may actually yield lower revenue than dynamic pricing when considering its effect on the reduction of consumer monitoring cost. Only when monitoring costs under dynamic pricing and under preannounced pricing are equal, is firm revenue weakly greater under preannounced pricing than under dynamic pricing. Third, in dynamic pricing equilibrium, increasing monitoring cost may increase firm revenue, consumer surplus and social welfare simultaneously.     

品牌的经济学分析:一个比较静态模型

现有的经济学理论和模型中缺少全面针对品牌的分析,导致品牌理论与实践的双重混乱.在选择爆炸式增长的经济条件下,品牌对消费者的选择行为产生了巨大影响,因此对品牌选择的经济学分析显得更为迫切.品牌的经济学本质是降低消费者的选择成本,进而影响消费者对品牌的选择,而消费者选择又决定了厂商的销售量和利润.我们在经济学的框架下,以品牌为研究对象,建立起一个比较静态模型,对品牌进行经济学分析,得出消费者均衡和厂商均衡的条件.     

Codetermination,Price Competition and the Network Industry

This research develops a tractable two‐stage non‐cooperative game with complete information describing the behaviour of price‐setting firms that must choose to be profit maximisers or bargainers under codetermination in a network industry with horizontal product differentiation. The existing theoretical literature has already shown that codetermination might arise as the endogenous market outcome in a strategic competitive quantity‐setting duopoly. In sharp contrast with this result, the present article shows that codetermination does never emerge as a Nash equilibrium in a price‐setting non‐network duopoly. Then, it aims at highlighting the role of network externalities in determining changes of paradigm of the game and letting codetermination become a sub‐game perfect Nash equilibrium when prices are strategic substitutes or strategic complements. This equilibrium may be Pareto efficient. Results allow distinguishing between mandatory codetermination and voluntary codetermination. The article also proposes a model of endogenous codetermination according to which every firm may choose to bargain with its own corresponding union bargaining unit only whether the firm's bargaining strength is exactly the profit‐maximising one. The equilibrium outcomes emerging in this case range from a uniform Nash equilibrium, in which both firms are codetermined, to mixed Nash equilibria, in which only one of them chooses to be codetermined. These results are ‘network depending’ and do not hold in a non‐network duopoly.