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.     

Wage posting without full commitment

Wage posting models of job search typically assume that firms can commit to paying workers exactly the posted wage. We relax this assumption and impose “downward” commitment; firms can commit only to paying at least their advertised wage. As each firm can only commit to pay at least their advertised wage, workers may demand that the firm pay more than the advertised wage. In labor markets with a finite number of workers and firms, the strategic interaction between firms makes it costly for firms to provide applicants the incentive not to demand wages in excess of the advertised wage. In equilibrium, firms may settle for running job auctions at the cost of losing control of the number of applicants that they can attract. When this strategic interaction between firms vanishes, workers never choose to demand more than the advertised wage.     

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.     

A note on price rigidity: Pledging stable prices under sluggish information diffusion and costly search

This note presents a model of rigid price equilibrium based on sluggish information diffusion and costly search with exogenous shocks. Firms can pledge non-contingent prices before the realization of a particular state of nature, and such a pledge reduces the search cost of consumers. The model suggests that firms make the rigid-price pledge in equilibrium under a wide range of conditions.     

Rationing rule, imperfect information and equilibrium

Summary. The impact of imperfect information on the price setting behaviour of firms is analysed. Specifically, consumers support an information cost to become informed about prices. Firms are endowed with U-shaped average cost curves. If a firm does not supply more than its competitive supply as determined by its marginal cost schedule, then we show that the existence of a pure strategy equilibrium is conditional on the rationing rule employed. If uninformed consumers are served first then the monopoly price is the sole equilibrium whenever consumers' information costs are high enough. Otherwise, a pure strategy equilibrium fails to exist contrary to the results of Salop and Stiglitz (1977) or Braverman (1980) who implicitly suppose that firms supply all the demand at a given price. Received: May 17, 1999; revised version: September 15, 2000     

Comparing Environmental Policy Instruments in the Presence of Imperfect Compliance – A Case Study

In this paper, we aim to include rule making, implementation, monitoring and enforcement costs into the cost comparison of policy instruments. We use a simple partial equilibrium model and apply it to the textile industry. The model includes discrete abatement functions and costly monitoring and enforcement. The case study uses individual firm data to simulate the differences in abatement costs and compliance decisions between firms. We compare combinations of regulatory instruments (emission taxes, emission standards and technology standards) and enforcement instruments (criminal fines, civil fines and transaction offers). We show that the inclusion of information, monitoring and enforcement costs indeed alters the relative cost efficiency of the different instruments.     

Can a decline in search cost increase prices?

This paper provides a new explanation of why a decline in consumers’ price search cost may not lead to lower prices. In a duopoly with price competition, I show that when some consumers are captive to one firm, there may be a non‐monotonic relationship between search cost and market power; firms may charge high prices with higher probability and the average price charged may be higher when consumers’ price search cost falls below a critical level. Furthermore, when firms have asymmetric captive segments, expected prices charged by each firm may move in opposite directions as search cost declines.     

Consumer Information and Firm Pricing: Negative Externalities from Improved Information

We analyze the effect of consumer information on firm pricing in a model where consumers search for prices and matches with products. We consider two types of consumers. Uninformed consumers do not know in advance their match values with firms, whereas informed consumers do. Prices are lower the greater the proportion of uninformed consumers. Hence uninformed consumers exert a positive externality on the others, in contrast to standard results. This leads to socially excessive investment in gathering prior information when aggregate demand is price-sensitive.     

Search costs and efficiency: Do unemployed workers search enough?

Many labor market policies affect the marginal benefits and costs of job search. The impact and desirability of such policies depend on the distribution of search costs. In this paper, we provide an equilibrium framework for identifying the distribution of search costs and we apply it to the Dutch labor market. In our model, the wage distribution, job search intensities, and firm entry are simultaneously determined in market equilibrium. Given the distribution of search intensities (which we directly observe), we calibrate the search cost distribution and the flow value of non-market time; these values are then used to derive the socially optimal firm entry rates and distribution of job search intensities. From a social point of view, some unemployed workers search too little due to a hold-up problem, while other unemployed workers search too much due to coordination frictions and rent-seeking behavior. Our results indicate that jointly increasing unemployment benefits and the sanctions for unemployed workers who do not search at all can be welfare-improving.     

ON EMPLOYMENT CONTRACTS WITH ENDOGENOUS ON-THE-JOB SEARCH

We consider an equilibrium search model and employment contracts when workers have endogenous on-the-job search. When a firm tries to retain an employee by matching outside offers, variable search intensity leads to a moral hazard problem. We first consider workers with identical productivities. We derive an equilibrium where firms commit not to respond to outside offers and workers search less. Second, we investigate the case with heterogeneous workers and asymmetric information. Assuming that firms can commit to retain all workers irrespective of their ability, we establish conditions under which it is optimal to do so. This policy again reduces the incentive for active on-the-job search. We discuss an equilibrium where all firms use these so-called ‘pooling’ contracts.     

Wealth Effects, Distribution, and the Theory of Organization

We construct a general equilibrium model of firm formation in which organization is endogenous. Firms are coalitions of agents providing effort and investment capital. Effort is unobservable unless a fixed monitoring cost is paid, and borrowing is subject to a costly state verification problem. Because incentives vary with an agent's wealth, different types of agents become attractive firm members under different circumstances. When borrowing is not costly, firms essentially consist of one type of agent and are organized efficiently. But when the costly state verification problem is sufficiently severe, firm organization will depend on the distribution of wealth: with enough inequality, it will tend to be dictated by incentives of rich agents to earn high returns to wealth, even if the chosen organizational form is not a technically efficient way to provide incentives.Journal of Economic LiteratureClassification Numbers: D2, D31, J41, L2.     

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.     

Strategic Pricing, Consumer Search and the Number of Firms

We examine an oligopoly model where some consumers engage in costly non-sequential search to discover prices. There are three distinct price-dispersed equilibria characterized by low, moderate and high search intensity. The effects of an increase in the number of firms on search behaviour, expected prices, price dispersion and welfare are sensitive (i) to the equilibrium consumers' search intensity, and (ii) to the status quo number of firms. For instance, when consumers search with low intensity, an increase in the number of firms reduces search, does not affect expected price, leads to greater price dispersion and reduces welfare. In contrast, when consumers search with high intensity, increased competition results in more search and lower prices when the number of competitors in the market is low to begin with, but in less search and higher prices when the number of competitors is large. Duopoly yields identical expected price and price dispersion but higher welfare than an infinite number of firms.     

Personalized pricing and advertising: An asymmetric equilibrium analysis

We study personalized price competition with costly advertising among n quality-cost differentiated firms. Strategies involve mixing over both prices and whether to advertise. In equilibrium, only the top two firms advertise, earning “Bertrand-like” profits. Welfare losses initially rise then fall with the ad cost, with losses due to excessive advertising and sales by the “wrong” firm. When firms are symmetric, the symmetric equilibrium yields perverse comparative statics and is unstable. Our key results apply when demand is elastic, when ad costs are heterogeneous, and with noise in consumer tastes.     

Nonstandard foundations of equilibrium search models

We develop an equilibrium sequential search model which includes most of the literature as special cases. In particular, the model can accommodate heterogeneity in buyers’ search costs and demand functions and firms’ cost functions, with general demand and cost functions. We identify conditions which ensure existence of equilibrium in pure strategies, utilizing recent progress in the theory of large games by Khan and Sun. These conditions elucidate the essential structure of equilibrium search models. Although we focus on sequential search, our methodology can be used for other classes of equilibrium search models as well.     

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.     

Commitment to regulatory bureaucracy

A model is considered in which ‘regulatory bureaucracy’ is in the best interest of consumers as well as the regulated firm. Making it more costly for the regulator to discern the firm's true costs can help motivate the firm to act in the interest of consumers. But this is only true if the regulator cannot make binding precommitments concerning the use of his policy instruments. Endowed with the ability to precommit, prices below marginal cost, investment in excess of efficient levels, and the absence of regulatory bureaucracy will characterize the optimal regulatory policy.     

Nonlinear pricing with self-control preferences

A basic assumption of economics is that consumers choose what they want. However, many consumers find it difficult to stop overeating, overspending, smoking, procrastinating, etc, even though they want to. In reality, consumers have temptation and it is psychologically costly to exercise self-control. To clarify the implications of the existence of temptation and self-control costs, this paper studies a firm's optimal selling strategy exploiting the behavioral features of consumers. We characterize optimal nonlinear pricing schemes for a monopoly when self-control is costly for consumers. Since consumers have a preference for commitment, the firm faces a trade-off between offering a small menu that makes the consumers’ self-control easier and offering a large menu that achieves better price discrimination. We show that the optimal menu resembles the one in the standard nonlinear pricing problem with a price ceiling, where the upper bound on prices is determined endogenously by a participation constraint. The ceiling motivates the firm to offer a relatively flat and compact price schedule, serving more consumers with low demand. The characterization also shows that the firm may earn less if consumers have temptation.     

The Stability of Price Dispersion under Seller and Consumer Learning*

In many markets, it is possible to find rival sellers charging different prices for the same good. Earlier research has attempted to explain this phenomenon by demonstrating the existence of dispersed price equilibria when consumers must make use of costly search to discover prices. We ask whether such equilibria can be learned when sellers adjust prices adaptively in response to current market conditions. With consumer behavior fixed, convergence to a dispersed price equilibrium is possible in some cases. However, once consumer learning is introduced, the monopoly outcome first found by Diamond (Journal of Economic Theory3 (1971), 156–68) is the only stable equilibrium.     

Alternative theories of wage dispersion

We analyze labor market models where the law of one price fails—i.e., models with equilibrium wage dispersion. We begin considering ex ante heterogeneous workers, but highlight a problem with this approach: If search is costly the market shuts down. We then assume homogeneous workers but ex post heterogeneous matches. This model is robust to search costs, and delivers equilibrium wage dispersion. However, we prove that the law of two prices holds: Equilibrium implies at most two wages. We explore other models, including one combining ex ante and ex post heterogeneity which is robust and delivers more realistic wage dispersion.