Endogenous trade policy in general equilibrium: An interaction of redistribution rule,trade openness,and labor market condition

Using a general equilibrium framework, the paper derives trade policy endogenously for a small country. It shows that, contrary to the existing literature, a lobbying industry is not guaranteed trade protection; it may even face trade taxes. Besides lobbying, trade policy depends on other factors such as the trade revenue distribution rule, income distribution across groups, trade openness, factor substitutability in production, industry employment size, and labor market flexibility. The paper also shows that the observed phenomenon of government preference for import tariffs over export subsidies—a long overdue puzzle—is an inherent outcome of lobbying equilibrium. It also shows that trade policies such as import tariffs and export taxes that have the same impact on economic market—Lerner symmetry (1936)—are driven by the same forces in the political market.     

Maximum‐revenue versus Optimum‐welfare Export Taxes: a Delegation Game*

In the Eaton and Grossman (1986 ) Bertrand duopoly model of strategic export taxes, both countries may be better off if they both delegate to policymakers who maximize tax revenue rather than welfare. However, both countries delegating to policymakers who maximize tax revenue is not a Nash equilibrium unless the degree of product substitutability is sufficiently high. For a wide range of values for the degree of product substitutability, the game is a prisoner's dilemma where both countries are better off delegating to policymakers who maximize tax revenue but both will delegate to policymakers who maximize welfare in the Nash equilibrium.     

WELFARE IN THE NASH EQUILIBRIUM IN EXPORT TAXES UNDER BERTRAND DUOPOLY

In the Eaton and Grossman Quarterly Journal of Economics, 101 (1986), pp. 383–406 model of export taxes under Bertrand duopoly, it is shown that welfare in the Nash equilibrium in export taxes is always higher than welfare under free trade for both countries.     

Trade taxes and international investment

Abstract .  This paper demonstrates that international investment disturbs the conventionally understood equivalence between import tariffs and export taxes. Fundamentally, remittances to foreigners introduce an additional pecuniary channel between countries so that two-good Lerner Symmetry generally will not hold. Moreover, because tariffs subsidize investors in the local import competing sector while export taxes can extract rent from foreign investors in the export sector, the pattern of international investment will influence government preferences over trade policy  instruments  as well as levels. Notably, trade tax symmetry is restored by introducing a third policy tool in the form of a direct a tax on international remittances.     

A Public Choice Approach to Strategic and Nonstrategic Environmental Policy

In this paper we take a public choice perspective on strategic environmental policy and international environmental agreements. We examine cooperative and noncooperative environmental policies under governments that are either welfare maximizers (“good dictators”) or tax revenue maximizers (“Leviathans”). We show that Leviathans can perform better in terms of welfare and that good dictators can set higher taxes. We then analyze international environmental agreements and show that the breakdown of environmental cooperation can indeed lead to a welfare gain for all signatory countries. Considering a delegation game between governments, we find that a Pareto‐superior Leviathan outcome can be the unique Nash equilibrium.     

Fault tolerance in large games

A Nash equilibrium is an optimal strategy for each player under the assumption that others play according to their respective Nash strategies, but it provides no guarantees in the presence of irrational players or coalitions of colluding players. In fact, no such guarantees exist in general. However, in this paper we show that large games are innately fault tolerant. We quantify the ways in which two subclasses of large games – λ-continuous games and anonymous games – are resilient against Byzantine faults (i.e. irrational behavior), coalitions, and asynchronous play. We also show that general large games have some non-trivial resilience against faults.     

A Supply and Demand Exposition of a Constitutional Tax Loophole: The Case of Tariff Symmetry

The U.S. Constitution permits import tariffs but bans export duties. Yet import taxes are de facto export taxes, just as export taxes are de facto import taxes. Access to this symmetry proposition has been limited by its illustration being in daunting analytics largely restricted to international economics. This is unfortunate. Tariff symmetry exposes a tax loophole of constitutional proportions, a case where economics trumps the intentions of America's Founding Fathers. Moreover, tariff revenue was the U.S. government's pivotal revenue source from 1789 until the 1913 constitutional sanctioning of the income tax. Because U.S. exports were heavily agricultural, tariff symmetry implies that federal taxation had an export dimension with disparate economic and regional consequences. By making tariff symmetry more accessible, this paper lowers the cost of examining important issues.     

通货膨胀、政府收益与社会福利损失

传统"Cagan规则"认为,政府通货膨胀税收益最大化的条件是,通货膨胀率应该为(货币需求关于)利率半弹性的倒数。这一规则是局部均衡条件下的结果,并未考虑通胀的实际经济效应。本文基于交易成本方法在一般均衡框架内讨论收益最大化时通货膨胀率的决定问题。该框架中收益最大化的通货膨胀率小于Ca-gan规则值,这一结论得到了中国1945—1949年恶性通胀时期经验数据的支持。经验结果还表明,相对于Cagan规则,根据交易成本方法设定的通货膨胀率尽管并没有明显提高政府的通货膨胀税收益,却大幅降低了社会福利损失。     

Tax Policy When Countries Compete for Third Market Exports

We examine the welfare and other consequences of tax policy in a third market export model where duopolists located in two countries compete in prices. With tax competition between governments, we allow for welfare‐maximizing governments in the two countries to delegate tax setting responsibility to policy‐makers who have different objectives than the governments. The unique equilibrium in the tax competition environment involves both governments delegating tax setting responsibility to tax revenue‐maximizing policy‐makers. This equilibrium yields higher welfare for both countries than the outcome when the governments delegate to welfare‐maximizing policy‐makers. The paper also compares tax competition with tax harmonization and shows that when the entire export market is served, tax harmonization improves the welfare of the country that houses the low cost firm, while the other country may be immiserized.     

Bayes–Nash equilibria of the generalized second-price auction

We develop a Bayes–Nash analysis of the generalized second-price (GSP) auction, the multi-unit auction used by search engines to sell sponsored advertising positions. Our main result characterizes the efficient Bayes–Nash equilibrium of the GSP and provides a necessary and sufficient condition that guarantees existence of such an equilibrium. With only two positions, this condition requires that the click–through rate of the second position is sufficiently smaller than that of the first. When an efficient equilibrium exists, we provide a necessary and sufficient condition for the auction revenue to decrease as click–through rates increase. Interestingly, under optimal reserve prices, revenue increases with the click–through rates of all positions. Further, we prove that no inefficient equilibrium of the GSP can be symmetric. Our results are in sharp contrast with the previous literature that studied the GSP under complete information.     

Strategic pollution control under free trade

This paper designs a reciprocal dumping model to address the control of industrial pollution between two trading partners. Firms generate transboundary pollution from production and environmental taxes represent the pollution control instrument. We ask whether environmental taxes implemented in a non-cooperative setting are more stringent than the globally efficient level. Relative to the globally efficient case, we find in the linear Markov Perfect Nash Equilibrium (MPNE) context that the tax rate for both countries is smaller and individual emissions are larger. However, these results may not hold in the non-linear MPNE case depending on market structure and environmental conditions. Unlike the symmetric equilibrium case, the tax rates are always discontinuous under asymmetric MPNEs. The asymmetric equilibrium scenario can give rise to higher individual payoffs relative to the symmetric equilibrium case.     

Stability of the cooperative equilibrium in N-person prisoners' dilemma with sequential moves

Summary. Nishihara [3] showed that N-person prisoners' dilemma has a cooperative Nash equilibrium, if the players decide their actions sequentially in the order determined by Nature under a certain information structure, and if each player's payoffs satisfy a certain inequality. This paper examines the stability of this cooperative equilibrium against two matters: players' slight mistakes and deviations by coalitions. The main results are as follows: (i) if the inequality on each player's payoffs strictly holds, then the cooperative equilibrium is a strictly proper equilibrium; (ii) if N≤3, and if full cooperation is Pareto efficient in N-person prisoners' dilemma, then the cooperative equilibrium is a strong Nash equilibrium; (iii) the cooperative equilibrium is in general a coalition-proof Nash equilibrium. Received: June 23, 1997; revised version: December 2, 1997     

Stackelberg thresholds in network routing games or the value of altruism

It is well known that the Nash equilibrium in network routing games can have strictly higher cost than the optimum cost. In Stackelberg routing games, where a fraction of flow is centrally-controlled, a natural problem is to route the centrally-controlled flow such that the overall cost of the resulting equilibrium is minimized.We consider the scenario where the network administrator wants to know the minimum amount of centrally-controlled flow such that the cost of the resulting equilibrium solution is strictly less than the cost of the Nash equilibrium. We call this threshold the Stackelberg threshold and prove that for networks of parallel links with linear latency functions, it is equal to the minimum of the Nash flows on links carrying more optimum flow than Nash flow.Our approach also provides a simpler proof of characterization of the minimum fraction that must be centrally controlled to induce the optimum solution.     

The trade paradox persists under excise taxes

Brander and Krugman (1983) and Sertel (1988) followed by Krugman (1989), showed two sides of a ‘trade paradox’: The paradox in competition, viz. that opening trade (or increasing competition) may cause welfare to decline, and the paradox in efficiency, viz. that an increase in unit transport cost may increase welfare. In this paper, we consider the situation in an environment where interventionist trade policies are not permitted but each country is sovereign to impose an excise tax (or subsidy). The paradoxes persist under equilibrium excise taxes, reckoned both at the non-cooperative (Nash or dominant strategy) equilibrium and at the cooperative solution among tax-imposing authorities maximizing welfare. We also see that the paradoxes persist in a taxless environment where market equilibrium is Stackelberg rather than Cournot.     

Cross-Border Pollution,Terms of Trade,and Welfare

We construct a two-good general equilibrium model of international trade for two small open economies where pollution from production is transmitted across borders. Governments in both countries impose emission taxes non-cooperatively. Within this framework, we examine the effect of changes in the degree of cross-border pollution on Nash emission taxes, emission levels and welfare. We do so under two scenarios: when changes in cross-border pollution do not affect domestic pollution (non-strategic) and when they do (strategic). We also examine the effect of changes in international terms of trade on pollution and welfare when cross-border pollution is non-strategic.      

On the existence of a strictly strong Nash equilibrium under the student-optimal deferred acceptance algorithm

This study analyzes a preference revelation game in the student-optimal deferred acceptance algorithm in a college admission problem. We assume that each college's true preferences are known publicly, and analyze the strategic behavior of students. We demonstrate the existence of a strictly strong Nash equilibrium in the preference revelation game through a simple algorithm that finds it. Specifically, (i) the equilibrium outcome from our algorithm is the same matching as in the efficiency-adjusted deferred acceptance algorithm and (ii) in a one-to-one matching market, it coincides with the student-optimal von Neumann–Morgenstern (vNM) stable matching. We also show that (i) when a strict core allocation in a housing market derived from a college admission market exists, it can be supported by a strictly strong Nash equilibrium, and (ii) there exists a strictly strong Nash equilibrium under the college-optimal deferred acceptance algorithm if and only if the student-optimal stable matching is Pareto-efficient for students.     

Dynamic management of water transfer between two interconnected river basins

This paper analyzes the dynamic interaction between two regions with interconnected river basins. Precipitation is higher in one river-basin while water productivity is higher in the other. Water transfer increases productivity in the recipient basin, but may cause environmental damage in the donor basin. The recipient faces a trade-off between paying the price of the water transfer, or investing in alternative water supplies to achieve a higher usable water capacity. We analyze the design of this transfer using a dynamic modeling approach, which relies on non-cooperative game theory, and compare solutions with different information structures (Nash open-loop, Nash feedback, and Stackelberg) with the social optimum. We first assume that the equilibrium between supply and demand determines the optimal transfer price and amount. We show that, contrary to the static case, in a realistic dynamic setting in which the recipient uses a feedback information structure the social optimum will not emerge as the equilibrium solution. We then study different leadership situations in the water market and observe that the transfer amount decreases toward a long-run value lower than the transfer under perfect competition, which in turn lays below the social optimum. In consequence, the water in the donor's river-basin river converges to a better quality in the presence of market power. Finally, we numerically compare our results to the Tagus-Segura water transfer described in Ballestero (2004). Welfare gains are compared for the different scenarios. We show that in all dynamic settings, the long-run transfer amount is lower than in Ballestero's static model. Further, we show that the long-run price settles at a lower level than in Ballestero's model, but is still higher than the average cost-based price determined by the Spanish government.     

Capital and Consumption Tax Reforms in a Small Open Economy

The effects of a reform in capital and consumption taxes on private welfare and government tax revenue are examined for a small open, capital‐importing economy. A trade‐off between private welfare and tax revenue is encountered in maximizing social welfare. Nonetheless, lowering capital taxes and raising consumption taxes can increase both private welfare and tax revenue if the initial tax rates are not optimal. In addition, a tax reform by this fashion is a likely response to a rise in the foreign rate of return on capital.     

企业差异化战略对价格和质量竞争博弈均衡解的影响研究

消费者在购买商品时不仅考虑商品价格而且还要考虑商品质量水平的需求市场,如果存在两寡头企业提供某商品,必然会导致价格和质量的竞争博弈。本文研究表明:为了达到纳什均衡状态,两企业必须采取一定的差异化策略。而且在均衡状态下,如果市场是价格敏感市场,企业的差异化程度越高,对企业和消费者都越有利;如果市场是质量敏感市场,当敏感程度相对很低时,企业的差异化程度越高,对企业和消费者也都越有利;当敏感程度一般时企业可选择适当的差异化程度使得企业和消费者同时达到最大的均衡利润;但当敏感度非常高,企业差异化程度越高对企业的均衡利润越大,可对消费者的均衡利润却越小。     

Trade Policies for Exporting Industries under Free Entry

This paper computes optimal export taxes and domestic production subsidies for exporting industries under free entry. We show that domestic welfare is not at maximum, as is typically believed, when the export price is a monopoly price, and the domestic price is a competitive price, because a market structure effect has to be taken into account. Furthermore, we show that the optimal tax/subsidy formulas for an oligopoly coincide with those under perfect competition, if foreign and domestic demand functions are both linear. We also discuss optimal trade policies when only one instrument is available, and we run numerical simulations to determine and compare optimal trade taxes under endogenous and exogenous market structures.