Consistency and optimality in a dynamic game of pollution control I: Competition

I model the interaction between a regulator and polluting firms as a Stackelberg differential game in which the regulator leads. The firms create pollution, which results in a stock extermality. I analyze the intertemporal effects of alternate pollution control measures in a competitive industry. The principal issue here concerns the dynamic inconsistency of the optimal solution. Inter alia, I compare the steady state levels of pollution under optimal and under time consistent policies.     

Strategic manipulation of a pollution permit market and international trade

We consider a framework where firms which compete in an international product market are not all submitted to a pollution permit market. Using the Brander and Spencer’s framework (J Int Econ 18:83–100, 1985), we seek to determine the optimal strategies of both a dominant firm in the pollution permit market and the regulator in a such context. We first show that the dominant firm pursues a strategic manipulation to increase its profit. We also find that the regulator uses a sophisticated strategic policy to increase the domestic welfare by using two instruments: the initial allocation of pollution permits and the pollution cap.     

Regulating a Polluting Firm Under Asymmetric Information

This paper reinterprets the Laffont-Tirole model of regulation under asymmetric information to cover the case of pollution control. The asymmetry of information concerns the firm's cost of lowering its pollution. The regulator has three objectives: Ensuring an efficient abatement level, generating 'green taxes' and securing the survival of the firm. We show that when optimal abatement is important relative to tax generation, the regulator cannot use the policy of offering the firm a set of linear tax schemes from which to choose. By contrast, this policy is optimal in the Laffont-Tirole model under certain not very restrictive assumptions. We proceed to establish a simple rule for when to shut-down inefficient types. In an example with specific functional forms, we derive the optimal tax function both analytically and graphically. We show the effect on the optimal tax system of a change in a technological parameter.     

Optimal pollution control in a mixed oligopoly with research spillovers

We study optimal pollution abatement under a mixed oligopoly when firms engage in emissions‐reducing research and development (R&D) with imperfect appropriation. The regulator uses a tax to curb emissions. Results show that in a mixed oligopoly, the public firm has positive emissions reduction in equilibrium; however, emissions reductions of the private firm could be positive or zero. Under certain conditions, the optimal pollution tax is positive; otherwise, the tax reverts to a subsidy. Comparing mixed and private duopolies, privatisation leads to reductions in R&D and output, but to an increase in overall emissions, so privatisation tends to make the environment worse.     

DIRECTED SEARCH AND FIRM SIZE*

Standard directed search models predict that larger firms pay lower wages than smaller firms, contrary to the data. This article proposes one way to obtain this positive size–wage differential in a directed search setting. I posit that there is an optimal size associated with a firm: A firm suffers a penalty by not operating at its optimal size. I show that if this penalty is sufficiently large the size–wage differential will be obtained. My model also gives a new way to look at the data because it highlights the importance of the distinction between intended and realized firm sizes.     

Climate Policy with Tied Hands: Optimal Resource Taxation Under Implementation Lags

In this paper we present a Stackelberg differential game to study the dynamic interaction between a polluting firm and a regulator who sets pollution limits overtime. At each time, the firm settles emissions taking into account the fine for non-compliance with the pollution limit, and balances current costs of investments in a capital stock which allows for future emission reductions. We derive two main results. First, we show that the optimal pollution limit decreases as the capital stock increases, while both emissions and the level of non-compliance decrease. Second, we find that offering fine discounts in exchange for firm’s capital investment is socially desirable. We numerically obtain the optimal value of such discount, which crucially depends on the severity of the fine. In the limiting scenario with a very large severity of the fine, the optimal discount implies that no penalties are levied, since the firm shows adequate adaptation progress through capital investment.     

Nonpoint Source Pollution Taxes and Excessive Tax Burden

If a regulator is unable to measure firms’ individual emissions, an ambient tax can be used to achieve the socially desired level of pollution. With this tax, each firm pays a unit tax on aggregate emissions. In order for the tax to be effective, firms must recognize that their decisions affect aggregate emissions. When firms behave strategically with respect to the tax-setting regulator, under plausible circumstances their tax burden is lower under an ambient tax, relative to the tax which charges firms on the basis of individual emissions. Firms may prefer the case where the regulator is unable to observe individual firm emissions, even if this asymmetric information causes the regulator to tax each firm on the basis of aggregate emissions.     

Environmental Enforcement with Endogenous Ambient Monitoring

We consider an inspection game between n polluting firms and an environmental enforcement agency. If the cost of monitoring ambient pollution is low enough, the optimal inspection policy consists in imposing the maximal possible fine, and mixing between observing ambient pollution and not conducting any inspection at all. However, with stringent upper limits on the fine, the agency mixes between observing ambient pollution and inspecting all firms. The observation of ambient pollution is always followed by sequentially rational firm inspections. Comparisons with Franckx (2002a, Journal of Environmental Economics and Management 43, 71–92, 2002b, Topics in Economic Analysis Policy 2(1), Article 1) show that commitment power has a very strong impact on the value of prior information.     

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.      

Standards and the regulation of environmental risk

We study regulatory design for a pollution-generating firm who is better informed than the regulator regarding pollution mitigation possibilities, and who chooses an unobservable action when employing a particular mitigation plan. We distinguish among performance, process, and design standards, and study the relative merit of each type of regulatory instrument. Relative to previous work on standards design, we emphasize technology and process verification. An optimal performance standard is relatively strict when regulator and firm preferences are congruent, but the regulator may prefer no performance standard at all if verification costs are sufficiently high. A process standard unambiguously increases expected surplus (relative to no regulation) in some environments, and otherwise improves welfare only when it is unlikely to generate a “bad” technology choice by the firm. A design standard can improve welfare if the regulator is sufficiently well informed about the technological possibilities for pollution control, but only when the firm’s private benefits from technology choice are sufficiently small.     

Bankruptcy as a Control Device in Economies in Transition

We examine in this paper the design of a liquidation, or bankruptcy, policy in a partially centralized economy characterized by imperfect information. We employ a two-period model to analyze the effects of an optimal liquidation rule on the efficiency of resource allocation and choice of managerial effort when managers have private information about effort and firm productivity. First-period investment is used by the regulator to discipline the manager and to extract information. The tradeoff between disciplinary effect and information extraction might be best solved by implementing inefficient liquidation policies. Inefficiencies in liquidation policies can occur even if the regulator believes that he is facing a given type of firm with probability close to one. J. Comp. Econom., June 1995, 20(3), pp. 265-301. Cornell University, Ithaca, New York 14853-7601.     

The effect of deregulation on environmental research by electric utilities

This paper analyzes the impact of deregulation and restructuring on public-interest environmental research conducted by electric utilities in the US from 1990 to 2001. I find that deregulation has had a substantial negative impact on such expenditures, which have declined by 40%. However, restructuring has had no significant impact. In addition, the 1990 Clear Air Act Amendments have adversely affected such expenditures, contrary to the positive impact these regulations had on pollution abatement R&D as shown in the literature. Results also suggest that state and firm characteristics and regulator preferences play a strong role in the conduct of such research.      

Pollution,public disclosure,and firm behavior

This paper looks at whether a government regulator should publicly announce the amounts of pollution emitted by individual firms and plants. Disclosure may be important if there is incomplete information about firm costs, since pollution levels may be used by the regulated firm as a signal of costs to rival firms. We compare the signaling games under public disclosure and no disclosure. Welfare is likely reduced by disclosure, but if the regulator can adjust the stringency of the relevant pollution regulations, then the loss in welfare can be smaller. The implications of these results for pollution permits markets are discussed.     

To outsource or not to outsource in an integrated world

This paper investigates outsourcing decision under certainty and uncertainty. When the production activity can be fragmented into two or more processes, an integrated firm must be competitive in each of the fragmented processes. There are gains from outsourcing when factor prices differ between countries. When factor prices are not equalized internationally, a firm may outsource the process which uses its scarce source intensively. If the cost of outsourcing is lower in the foreign country, full outsourcing occurs under certainty. However, even if the outside supplier has a cost advantage, uncertainty in outsourcing cost ensures that partial outsourcing is optimal for risk-averse firms.     

Regulating a risk-averse firm under incomplete information

We examine the optimal regulatory policy for a risk-averse firm when the firm is imperfectly informed about its efficiency parameter for a project at the time of contracting. The firm’s risk aversion shifts the optimal regulatory policy from a fixed-price contract to a cost-plus contract. The optimal regulatory policy entails undereffort by an inefficient firm as in Laffont and Tirole (J Polit Econ 94(3):614–641, 1986) and the effort distortion increases as the firm becomes more risk-averse. Further, the regulator benefits from sequential contracting with the firm where the firm chooses contract terms gradually as it acquires information, albeit the benefit diminishes as the firm becomes more risk-averse.      

The Contested Sovereignty of the Firm

This paper suggests that the firm can be analysed as a regulated system of contested sovereignty. The economic literature on the firm is categorised in terms of four different perspectives on sovereignty identified using the twin factors of power and authority. But rather than any single perspective being identified as analytically superior, it is argued that a system of contested sovereignty should be based on all four perspectives. Following this, a Polanyi-inspired analysis of firm regulation is presented in which the regulation of the firm emerges to control the costs of free markets. However, this regulation depicts firm sovereignty as complex and contested rather than simply an optimal response to market failures.     

Free trade versus strategic trade as a choice between two ‘second best’ policies: A symmetric versus asymmetric information analysis

Abstract

We analyse the following policy dilemma: strategic trade policy versus free trade when the domestic government is bound to intervene only after the domestic firm's strategic variable in the form of R&D investment is chosen, and when the information can be either symmetric or asymmetric. The novel feature of our model is that the information asymmetry stems from the assumption that the government may not a priori know the true mode of competition. The intervention in the above set-up allows the domestic firm to manipulate the domestic government and results in a socially inefficient choice of the strategic variable. However, commitment to free trade leads to forgoing the benefits from profit-shifting. Yet, from the social point of view, free trade may be optimal even under the assumption of symmetric information. Due to costly signalling, this result is reinforced in the case of asymmetric information.     

Bertrand versus Cournot revisited

Summary. Bertrand criticized Cournot's analysis of the competitive process, arguing that firms should be seen as playing a strategy of setting price below competitors' prices (henceforth, the Bertrand strategy) instead of a strategy of accepting the price needed to sell an optimal quantity (the Cournot strategy). We characterize Nash equilibria in a generalized model in which firms choose among Cournot and Bertrand strategies. Best responses always exist in this model. For the duopoly case, we show that iterated best responses converge under mild assumptions on initial states either to Cournot equilibrium or to an equilibrium in which only one firm plays the Bertrand strategy with price equal to marginal cost and that firm has zero sales. Received: December 11, 1995; revised version October 2, 1996     

Firm behaviour under pollution ratio standards with non-compliance

This paper compares a firm’s short run optimal production and abatement rules under emission level standards and standards expressed in terms of emissions per unit of output (ratio standards). The models allow for non-compliance with standards, with expected penalties dependant on either level or relative violations of the standard in question. It is shown that ratio arguments make a difference to the optimal decision rules derived for a profit-maximising firm. For example, for a given level of emissions the firm both produces more, and abates more, under a ratio standard, so that ratio and level standards cannot be used interchangeably to achieve the same combination of emissions and output. The implications for the efficiency of pollution control are briefly discussed.