Endogenous Timing in Mixed Duopolies With Externality

We investigate endogenous timing in a mixed duopoly with a negative externality. We find that quantity (price) competition yields a simultaneous‐move (sequential‐move) outcome under a significant negative externality. These results indicate that mixed duopolies yield the same results as private duopolies under a significant negative externality, which is in sharp contrast to the results in mixed duopolies without a negative externality. Unless the negative externality is insignificant, public leadership yields greater welfare than private leadership, and public leadership is more robust than the private leadership as equilibrium. If optimal environmental tax policy is introduced, however, private leadership yields the greatest welfare and this an equilibrium outcome in the endogenous timing game under quantity competition.     

Disutility of pollution and endogenous growth

Endogenous growth is generally built on a positive externality hypothesis which is the opposite of a negative externality caused by pollution. We study a linear technology with simple assumption: an aggregate capital stock which represents a learning by doing effect and a pollution flow proportional to production. In this framework, we analyse the precise effects on growth of the disutility of pollution and its interaction with the utility of consumption in an economy without abatement technology. The decentralized equilibrium always leads to unlimited growth, but optimal growth is often limited (the negative effect of pollution dominating the positive effect of learning by doing). In this case, the optimal policy which leads the decentralized economy to follow the optimal growth path is to tax capital; in contrast with the optimal subsidy policy in an economy without pollution. When an abatement technology is introduced, the optimal solution can lead the economy to unlimited growth, whatever the form of the utility function.     

Self-fulfilling patience

This paper explores macroeconomic implications of investment in patience in a standard neoclassical growth model with Becker-Mulligan endogenous time preferences. The endogenous discount rate acts as a new margin for inter-temporal decisions, in addition to the standard margin that hinges on the marginal return of capital. This time preference margin alters the equilibrium dynamics and stability of the neoclassical growth model substantially. When the discount rate is positive, there may exist multiple steady states that are either saddle-point stable or unstable. When the discount rate is negative, the unique steady state is locally indeterminate due to self-fulfilling patience investment. Interestingly, the existence of the local indeterminacy does not need any externality. When the discount rate is zero, various types of bifurcations can happen, leading to rich equilibrium dynamics such as limit cycles and chaos. We show that opening up the closed economy can cause aggregate instability.     

Uniqueness and comparative statics of Nash equilibrium in a tariff retaliation model

This paper considers uniqueness and comparative statics of Nash equilibrium of a tariff retaliation model. The approach to the problem is geometrical and reminiscent of the analysis for the free trade competitive equilibrium. If the countries have constant elasticity of substitution utility functions, some simple conditions can be used to prove uniqueness of the Nash equilibrium of the tariff retaliation game. The welfare effects of endowment changes are analyzed in terms of the standard terms of trade and volume of trade effects. If the elasticity of substitution of one of the countries is sufficiently high, immiserizing growth will not occur.      

Consumption externality, efficiency and optimal taxation in one-sector growth model

In an economy with consumption externalities, existing studies find that a competitive equilibrium is efficient in the long run and remains efficient in transitions if preferences are homothetic. This paper revisits the efficiency issue in an otherwise standard one-sector growth model where consumption externalities affect a utility via their effects on the time preference. We find that even if preferences are homothetic, the externality changes the marginal rate of substitution between now and future and leads to a disparity in the intertemporal elasticity of substitution between the centrally planned economy and a decentralized economy. As a result, a competitive equilibrium is inefficient in transition dynamics. We characterize an optimal tax/subsidy structure that enables the allocation in a decentralized economy to replicate the social optimum.     

Public debt and welfare in a quantitative Schumpeterian growth model with incomplete markets

This paper quantifies the welfare effects of counterfactual public debt policies using an endogenous growth model with incomplete markets. The economy features public debt, Schumpeterian growth, infinitely-lived agents, uninsurable income risk, and discount factor heterogeneity. Two versions of the model are specified, one with households holding equity in the group of innovating firms. The model is calibrated to the U.S. economy to match the degree of wealth inequality, the share of R&D expenditure in GDP, the firms’ exit rate, the average growth rate, and other standard long-run targets. When comparing balanced growth paths, I find large welfare gains in equilibria characterized by governments accumulating public wealth. The result is robust to the mechanism used to generate a highly concentrated wealth (i.e., preference heterogeneity or “superstar” income shocks). Welfare effects decompositions show that level effects and growth effects reinforce each other. The responses of both the intermediate goods and their market conditions are key in explaining the large level effects. The version of the model without equity is computationally easier to solve, allowing to consider transitional dynamics. Taking into account the dynamic adjustment to the new long-run equilibrium, I show that the transitional welfare costs are not large enough to change the sign of the welfare effects stemming from a change in public debt. I find that eliminating public debt would lead to a 0.8% increase in welfare, while moving to a debt/GDP ratio of 100% would entail a welfare loss of 0.5%. A decomposition analysis shows that growth accounts for approximately 50% of the overall welfare effects.     

Polluting Non-Renewable Resources and Growth

In an endogenous growth model with human capital accumulation, we introduce non-renewable resources which cause flow pollution problems. In this set-up the negative external effect of pollution on productivity does not cause any distortions in the economy: The market economy will achieve the optimal extraction and growth rates. Consequently, emission taxes are unnecessary and, when introduced, will have no effect on the economy. The more important is the negative pollution externality, the larger will be the optimal long-run growth rate (which may be either positive or negative). In the case of a positive human capital externality, consumption in the market economy may approach zero in the long run, although positive consumption growth is socially optimal. Growth-enhancing policies do not necessarily cause a larger drain in the resource stock.     

Endogenous timing in private and mixed duopolies with emission taxes

This paper examines an endogenous timing game in product differentiated duopolies under price competition when emission tax is imposed on environmental externality. We show that a simultaneous-move (sequential-move) outcome can be an equilibrium outcome in a private duopoly under significant (insignificant) environmental externality, but this result can be reversed in a mixed duopoly. We also show that when environmental externalities are significant, public leadership yields greater welfare than private leadership, and that public leadership is more robust than private leadership as an equilibrium outcome. Finally, we find that privatization can result in a public leader becoming a private leader, but this worsens welfare.     

Can a raise in your wage make you worse off? A public goods perspective

We show that a seemingly paradoxical result is possible—an increase in one's wage can reduce one's welfare. Such outcome can occur in an economy populated by agents who value a private good bought using labor income and a public good produced by voluntary time contributions. A raise in the wage (in general, opportunity cost of time) makes each agent substitute away from contributing to the public good, failing to internalize the negative externality imposed on others. The result is a decrease in public good provision. Under quite general conditions, the implied cumulative negative effect on agents' welfare can more than offset the positive effect of the wage raise from increased private good consumption and lead to an equilibrium in which all agents are worse off. Our result is particularly relevant for developing economy settings as it holds for relatively low initial wage levels. We discuss the applicability of our findings to a number of important problems in development, such as market integration, cooperation in common pool resource conservation and social capital.     

The Castle on the Hill

A simple example of a stochastic game with irreversibility is studied and it is shown that the folk theorem fails in a robust way. In this game of Castle on the Hill, for a broad range of discount factors, including those close to one, equilibrium is unique. Moreover, the equilibrium for large discount factors is Pareto dominated by the equilibrium for low discount factors. A unique cyclic equilibrium is also possible for intermediate ranges of discount factors. Journal of Economic Literature Classification Numbers: C7, C6.     

Intellectual property rights and R&D subsidies: are they complementary policies?

IPR protection and R&D subsidy are simultaneously implemented in many economies. Are they complementary policies for improving the welfare of consumers? We address this question in a dynamic general equilibrium model with innovation-driven growth. Under concave utility, the answer is yes for two cases: (1) the economy does not begin from steady state and the elasticity of intertemporal substitution (EIS) is relatively large; (2) the economy begins from steady state with either a sufficiently small initial consumption and a relatively large EIS or a sufficiently big initial consumption and a relatively small EIS. Under linear utility, the answer is yes if the discounted lifetime utility is finite in equilibrium, no matter the economy begins from the steady state or not. As empirical evidence finds cross-country heterogeneity in EIS, they are not complementary for all economies. We also identify reasonable cases whereby they are substitute policies, so we show when it is not welfare-enhancing to simultaneously implement both policies.     

Revenue-Neutral Environmental Tariff Reform, Growth, and Welfare

This paper analyzes the growth and welfare effects of revenue‐neutral tariff reform in a small open endogenous growth model with environmental externalities. As is the case in countries that depend primarily on imported energy, the employment of a foreign intermediate good causes negative environmental externalities in production. This paper shows that substituting a tariff on the foreign intermediate good for a tariff on the foreign consumption good in a revenue‐neutral way raises the growth rate and the welfare, if the environmental externality is sufficiently strong and if the elasticity of substitution between inputs lies within a certain range.     

(In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy

This paper sets up a monetary endogenous growth model with Benhabib–Farmer production externalities for an open economy, and then uses it to investigate the possibility of indeterminacy. Moreover, the paper examines how the monetary authorities will set its optimal anchor of the money growth rate from the viewpoint of welfare maximization. Several main findings emerge from the analysis. First, when investment does not involve adjustment costs, the monetary equilibrium is locally determinate regardless of the strength of the labor externality and the extent of world capital market imperfections. Second, in the presence of investment adjustment costs, the monetary equilibrium may exhibit indeterminacy when the aggregate increasing returns-to-scale in production is sufficiently strong. Third, in the presence of world capital market imperfections, the Friedman rule of a zero nominal interest rate fails to be optimal. Fourth, in the face of perfect world capital markets, the optimal nominal money growth rate is maintained at the rate that is conformable to the Friedman rule, regardless of whether investment involves adjustment costs or not.     

Strategic spin-offs of input divisions

When a downstream producer enters backward into the input market, a “helping the rivals effect” exists: Such entry hurts the firm's downstream business as it increases upstream competition and thus benefits its rival downstream firms. This negative externality prevents the newly-created upstream unit from expanding. A spin-off enables the firm to credibly expand in the input market, thereby forcing its upstream competitors to behave less aggressively. Spin-offs occur in equilibrium if and only if the number of downstream firms exceeds a threshold level. When there is more than one integrated firm, a spin-off by a firm can trigger spin-offs by others that would not occur otherwise.     

Strategic Consumption Complementarities: Can Price Flexibility Eliminate Inefficiencies and Instability?

Generally, two facts occur with strategic complementarities and fixed prices: (i) the equilibria are multiple and (ii) if the complementarities are strong, the law of demand is violated and the equilibrium is unstable. In this paper, we analyse the effect of price flexibility on these features as well as on market welfare properties. Assuming an exchange economy with H agents consuming two goods with one strategic complement, we show that flexibility of prices may remove both the multiplicity of the equilibria and the instability of behavior when the externalities are strong. Moreover, we find conditions to correct instability when it is caused by perverse wealth effects. When preferences are quasilinear and identical, if the externality is beneficial, any equilibrium is Pareto optimal despite the externality. But if the externality is detrimental, corrections are required.     

Pension,possible phaseout,and endogenous fertility in general equilibrium

The rich literature on Pay-As-You-Go (PAYG)-type pensions provides a notion that when pension return is dominated by the market return, generally it is impossible to phase pension out without hurting any generation. We show that PAYG pensions can indeed be phased out in a much richer framework where fertility is endogenous and general equilibrium effects are present. Interestingly, the factor that helps us to phase the pension out in a Pareto way is hidden in the structure of PAYG pension itself. Individualistic agents fail to recognize the benefits of their fertility decision on these programs and, therefore, end up in an allocation that is strictly dominated by the allocations that internalize this externality. Exploiting this positive externality, competitive economy can improve its allocations and can reach the planner's steady-state in finite time where each generation secures as much utility as in the competitive equilibrium. Clearly, it is possible to transition in a Pareto way to an economy either with no pension or with pensions whose return is not dominated by market return.     

Information Structure and the Tragedy of the Commons in Resource Extraction

Synopsis This paper considers the well-known Levhari-Mirman discrete-time model of resource extraction, and investigates the effects of the information structure of the dynamic game – open-loop, Markovian or history-dependent – on the equilibrium consumption path and the overall utility of the agents. Due to the special structure of the model, the open-loop regime yields a Pareto-optimal outcome. The Markovian regime leads to the most pronounced version of the tragedy of the commons. History-dependent behavior yields an outcome set that is intermediate between the other two cases, and that may include the Pareto-optimal outcome in some cases. The level of efficiency of equilibrium behaviour is thus U-shaped as a function of the level of information the agents’ extraction strategies are based on. The analysis suggests that in environments characterized by a dynamic (and no market) externality, forcing agents to commit to open-loop behavior would constitute welfare-improving regulation.     

On the definition of externality as a missing market

Within the general equilibrium framework, externalities are regarded as missing markets which invalidate the first theorem of welfare economics. As witnessed by some authors’ positions in the 1970s, this definition does not highlight whether or not it is an exogenous and an unintended effect. These ambiguities raise the issue of the relation between the basic formalisation of an externality (a dependence of individual objective functions) and its economic meaning (a missing market). Finally, they also raise the more general issue of the dilution of externality in the larger notion of individual interaction.     

The St. Petersburg paradox: A resolution for impatient risk seekers

If the St. Petersburg game is played in real time, gamblers will discount their possible payoffs subjectively due to impatience. Risk-neutral individuals and some risk seekers will not pay an infinite sum to play the game. For three different risk-seeking utility functions, this paper derives conditions under which a gambler, with each utility function, refuses to pay an infinite sum to play the game.     

Is parity good? Externalities in professional sports

In professional sports there are externalities. If one team acquires too much talent then that may impact the quality of the competition negatively. This means that the league can improve social welfare by distorting the competitive equilibrium allocation. This idea has been used to explain that there should be parity among teams to improve social welfare. We develop a theoretical model based on Biner's (2009) empirical results to capture the effect of this externality on the revenue levels and wages when local fans care about winning only. Social Planner's Problem for stadium revenues implies that it is possible to increase the total revenue made in the league compared to competitive equilibrium levels by increasing big market teams' talent level, therefore less parity. In other words due to externalities competitive market allocation is too equal compared to SPP allocation. We show when local audience is mainly interested in seeing their local team dominating the visiting team and national audience only interested in watching a close game on TV, the only way in the model for it ever to be efficient to enforce parity is if we introduce a national TV market into the analysis. For the national TV market, parity is going to lead to a wider TV audience. The greater the weight on this revenue stream, the more likely it is a parity policy can increase league revenues.