Unit versus Ad Valorem Taxes in Multiproduct Cournot Oligopoly

The welfare dominance of ad valorem taxes over unit taxes in a single‐market Cournot oligopoly is well known. This article extends the analysis to multimarket oligopoly. Provided all ad valorem taxes are equal and positive, unit costs are constant, firms are active in all considered markets, and a representative consumer has convex preferences, ad valorem taxes are shown to dominate in multiproduct equilibrium. Conditions exist, however, under which economic efficiency declines upon replacing specific taxes with ad valorem taxes that preserve output levels. We discuss the roles of unit cost covariances across multiproduct firms, and also of complementarity in demand, in determining the extent of cost efficiencies arising under ad valorem taxation. For goods that are complementary or independent in demand, conditions are found such that industry profits decline upon use of ad valorem taxes.     

On the Equivalence of Ad Valorem Tariffs and Specific Tariffs under Duopoly*

Using a quantity conjectural variation model, this paper examines whether an ad valorem tariff and a specific tariff are equivalent under duopoly. We show that if the average per‐unit import tax is the same for the two tariffs, domestic output will be smaller while foreign output will be larger under an ad valorem tariff. We further show that for any value of a specific tariff, there is a Pareto‐superior ad valorem tariff for all values of conjectural variation except in the case of perfect competition where the two tariffs are equivalent.     

Unit Versus Ad Valorem Taxes: The Private Ownership of Monopoly in General Equilibrium

Employing a general equilibrium framework, Blackorby and Murty prove that, with a monopoly and under 100% profit taxation and uniform lump‐sum transfers, the utility possibility sets of economies with unit and ad valorem taxes are identical. This welfare equivalence is in contrast to most previous studies, which demonstrate the superiority of the ad valorem tax in a partial equilibrium framework. In this paper, we relax the assumption of 100% profit taxation and allow the consumers to receive profit incomes from ownership of shares in the monopoly firm. We find that, under certain regularity conditions, for any fixed vector of profit shares, the utility possibility sets of economies with unit and ad valorem taxes are not generally identical. But it does not imply that one completely dominates the other. Rather, the two utility possibility frontiers cross each other. Additionally, employing a standard partial equilibrium welfare analysis, we show that the Marshallian social surpluses resulting from the two tax structures are identical when the government can implement unrestricted transfers.     

The Comparison of ad Valorem and Specific Taxation under Uncertainty

The comparison between specific (per unit) and ad valorem (percentage) taxation has been one of the oldest issues in public finance. In Cournot markets, with deterministic costs structures, conventional wisdom has it that ad valorem taxation tax‐revenue dominates specific. It is shown that in the presence of uncertainty, regarding firms’ cost structures, and under reasonable conditions, the conventional wisdom might not hold. The implication of this, from a policy perspective, is that the precise evaluation of the two types of taxation requires an explicit consideration of cost uncertainty.     

Some Taxation Theorems in the Hotelling Model

In this paper, we investigate the relationship between the demand ad valorem, cost ad valorem and unit taxes in terms of price, quantity and tax revenue. In particular, we prove that the Musgravian transformation holds in the Hotelling model. In addition, we show that the Suits‐Musgrave theorem must be revised as output in the Hotelling model remains invariant in the presence of different taxes. That is, for a given price instead of a given output, the tax revenue under demand ad valorem tax exceeds that under the corresponding unit tax as long as profit levels for both stores are positive, a very general assumption. The exception is when the two stores are located close to each other and transportation cost is zero. Only in this case, are tax revenues and price under both tax regimes the same. If both stores are symmetrically located, the superiority of the ad valorem tax holds true except when the two stores are located back to back. Finally the farther away the location of a firm from the end point is, the smaller the difference in tax revenues between demand ad valorem and unit tax will be: the effect of the Suits‐Musgrave theorem weakens in the presence of location clustering.     

A Welfare Ranking of Multilateral Reductions in Real and Tariff Trade Barriers when Firms are Heterogenous

Trade liberalization comes about through reductions in various types of trade barriers. This paper introduces, apart from the customary real trade costs (i.e. iceberg and fixed export costs), two revenue generating trade barriers (i.e. an ad valorem tariff and a trade license) into a standard heterogeneous‐firms‐trade model with Pareto distributed productivities. We derive analytical welfare rankings of all four liberalization channels for an equal effect on two openness measures, for any trade cost level and while all four barriers are simultaneously present, i.e. for any initial equilibrium. We show that when openness is measured at retail prices, not border prices, the welfare rankings are sensitive to the degree of efficiency in revenue redistribution, e.g. the share of tariff revenues wasted on rent‐seeking activities. As a result, multilateral tariff reductions can switch from the least to the most preferred mode of liberalization. Among the other three barriers we establish a universal welfare ranking for any strictly positive level of revenue redistribution and for either measure of openness.     

Market entry and trade weighted import costs

Trade weighting is a common method of aggregating trade frictions. It will understate changes in these costs when there are non‐ad valorem trade costs and quality differences. Newly traded goods enter at higher trade costs than previously traded ones. Lower import costs shift trade to low‐quality goods with higher measured trade costs. These effects are quantitatively important. U.S. import costs fall more than twice as fast as trade weighted measures from 1974 to 2004 after the impact of shifting quality and newly traded goods is accounted for. Empirical estimates that use trade weighting will underestimate the welfare impact of trade costs.     

A Stackelberg Game Model of Trade in Renewable Resources with Competitive Sellers*

We model international trade in renewable resources between a single buyer and competitive sellers as a Stackelberg differential game. The buyer uses unit and ad valorem tariffs to indirectly encourage conservation of the renewable resource under study. First, we show that the efficacy of these trade policy instruments in promoting conservation depends fundamentally on whether harvesting costs are stock dependent or independent. When harvesting costs are stock independent, the optimal open‐loop tariffs are dynamically consistent. In contrast, when harvesting costs are stock dependent, the optimal open‐loop tariffs are dynamically inconsistent. Secondly, we point out that whether the terminal value of the resource stock is higher with the stock independent or the stock dependent cost function cannot be resolved unambiguously. Thirdly, we show that it does not make sense for the buyer to use both tariffs simultaneously. Finally, we discuss the implications of these and other findings for renewable resource conservation in general.     

Estimating the bilateral impact of nontariff measures on trade

This paper seeks to estimate how the impact of nontariff measures (NTMs) on trade can vary across exporter–importer pairs. Covering data for the early 2000s, regressions are run at a disaggregate tariff line level and the estimated results are converted into ad valorem equivalents (AVEs). The results underline the importance of conditioning conclusions on trading partners and products and demonstrate that the same NTM can have different—even opposite—effects across exporting countries. One general pattern that emerges is that low‐income importers impose more restrictive NTMs, but that the capacity for exporting countries to address NTMs increases with GDP per capita.     

Rules of Origin in North–South Preferential Trading Arrangements with an Application to NAFTA

All preferential trading agreements (PTAs) short of a customs union use rules of origin (ROO) to prevent trade deflection. ROO raise production costs and create administrative costs. This paper argues that in the case of the recent wave of North–South PTAs, the presence of ROO virtually limits the market access that these PTAs confer to the Southern partners. In the case of NAFTA, we find average compliance costs around 6% in ad valorem equivalent, undoing the tariff preference (4% on average) for a large number of tariff lines. Administrative costs amount to 47% of the preference margin. These findings are coherent with the view that North–South PTAs could well be viewed like a principal–agent problem in which the Southern partners are just about left on their participation constraint.     

Taxation and the sustainability of collusion: ad valorem versus specific taxes

Assuming constant marginal cost, it is shown that a switch from specific to ad valorem taxation that results in the same collusive price has no effect on the critical discount factor required to sustain collusion. This result is shown to hold for Cournot oligopoly when collusion is sustained with Nash-reversion strategies or optimal-punishment strategies. In a Cournot duopoly model with linear demand and quadratic costs, it is shown that the critical discount factor is lower with an ad valorem tax than with a specific tax that results in the same collusive price. However, in contrast to Colombo and Labrecciosa (J Public Econ 97:196–205, 2013) it is shown that the revenue is always higher with an ad valorem tax than with a specific tax.     

Product Quality and the Optimal Structure of Commodity Taxes

The comparison between ad valorem and specific taxation is among the oldest issues in formal public finance and is important for policy in the European Union (EU) and elsewhere. This paper develops and articulates simple but very general elasticity rules that characterize the optimal balance between the two in a model of endogenous product quality. These rules temper the preference for ad valorem taxation that emerges from homogeneous product models, pointing to relatively heavy reliance on whichever form of taxation has the least effect on product quality.     

Specific vs Ad Valorem Strategic Export Subsidies with Taxation Distortion

This paper employs a model to compare the welfare between optimal specific and ad valorem export subsidies if the subsidy payment is financed by distortional taxation. It is found that the welfare under the specific subsidy regime is higher (lower) than that under the ad valorem subsidy regime if the social cost of taxation distortion is low (high). Moreover, the signs of the two optimal subsidies are also crucially dependent on this social cost. They are positive (negative) if the social cost is low (high).     

Assessing Applied Protection across the World*

This paper presents MAcMap–HS‐6, a database providing a consistent, ad valorem equivalent measure of tariff duties and tariff rate quotas for 163 countries and 208 partners, at the six‐digit level of the Harmonized System (5111 products), accounting for all preferential agreements. We describe the methodology used to compute and aggregate an ad valorem equivalent of applied protection. Emphasis is placed on minimizing the endogeneity bias in the aggregation procedure, while acknowledging structural differences in export specialization. The resulting quantitative assessment is illustrated by giving an overview of applied protection across the world in 2001, in terms of average as well as distribution.     

Ad valorem tariff and spatial equilibrium models

The objectives of this article are to illustrate theoretically and empirically how to incorporate an ad valorem tariff in spatial equilibrium models and show the equivalence of three approaches (primal, dual and MCP) of spatial equilibrium trade modelling. The article lays out in detail the theory, empirical applications and the results for all three approaches so that trade modellers can easily follow and apply them in their work. The primal approach is commonly used by spatial equilibrium modellers, though the dual approach corresponds to the textbook depiction of consumer surplus, producer surplus and gains from trade. The Mixed Complementarity Problem (MCP) is not commonly used by spatial equilibrium modellers, though it is relatively simpler if the modeller knows the equilibrium conditions. This article also presents advantages and disadvantages of each approach.     

Welfare impacts of Indian apple trade policies

In April 2000, India eliminated the quantitative import restriction of apples and instituted a trade barrier in the form of lower ad valorem tariffs. This study examines the impacts of Indian trade policies on the apple market by reviewing the government policies, discussing mathematical and graphical analyses of trade policies, presenting estimated equations of demand, supply, and excess supply, and providing solutions of prices, quantities, and welfare impacts under autarky, free trade, and tariff regimes. Given the total population of more than one billion and a vast middle income population, and economic reforms and resulting income growth, India has a considerable potential to increase its apple consumption. Our study shows that under free trade, India will consume 3008 thousand metric tonnes (TMT) of apples of which 2237 TMT will be imported. Also, free trade will increase the total welfare by Rs 29?512 million. These large gains suggest that India should liberalize apple import barriers and move toward free trade.     

Trade between symmetric countries,heterogeneous firms,and the skill premium

Abstract This paper examines the effects of trade liberalization between symmetric countries on the skill premium. I introduce skilled and unskilled labour in a model of trade with heterogeneous firms à la Melitz (2003) and assume a production technology such that more productive firms are more skill intensive. I show that the effects of trade liberalization on wage inequality crucially depend on the type of trade costs considered and on their initial size. While fixed costs of trade have a potentially non‐monotonic effect on the skill premium, a drop in variable trade costs unambiguously and substantially raises wage inequality.     

Endogenous timing,strategic tariff game and bilateral trade in vertical oligopoly

This paper builds an observable delay game in endogenous timing to study the possible occurrence of trade wars in a vertical, bilateral trade model. It examines the effects of production cost differences and order of moves on optimal tariffs, market equilibria, dumping margin and social welfare in both fixed timing and endogenous timing games. In a fixed timing game, it shows that price dumping in the intermediate good market arises from differences in country-specific final good production costs. Different from Bernhofen (1995; Journal of International Economics), trade costs resulting from reciprocal tariffs in upstream markets can reverse the price dumping under certain conditions. In an endogenous timing game, this paper finds that the magnitude of cost differences significantly influences countries’ decisions on the order of moves in a strategic tariff-making game. Both countries want to be the first movers under a small cost difference and consequently reach a simultaneous equilibrium result. This demonstrates that the second-best equilibrium proceeds under certain conditions. Under a large cost difference, sequential policy-making is the subgame perfect Nash equilibrium. If the cost difference is sufficiently large, both countries have an incentive to launch a trade war as a multiple equilibrium game.     

Additive versus multiplicative trade costs and the gains from trade liberalizations

This paper addresses welfare effects from trade liberalization in a Melitz ( 2003 ) heterogeneous‐firms trade model including the empirically important per‐unit (i.e., additive) trade costs in addition to the conventional iceberg (i.e., multiplicative) and fixed trade costs. The novel contribution of the paper is the result that the welfare gain for a given increase in trade openness is higher for reductions in per‐unit (additive) trade costs than for reductions in iceberg (multiplicative) trade costs. The ranking derives from differences in intra‐industry reallocations and, in particular, from dissimilar impacts on the number of exporters (i.e., the extensive margin of trade).     

Second thoughts on the exporter productivity premium

Abstract Contrary to the prevailing interpretation, this paper shows that the central models of trade with heterogeneous firms ( Melitz 2003 ; Bernard et al. 2003 ) exhibit ambiguous predictions for the exporter productivity premium. This prospect arises because of differences between theoretical and empirical representations of firm productivity. Instead of marginal productivity, we examine in both models the theoretical equivalent of empirically observable productivity (value‐added per employee). Given the presence of fixed export costs or heterogeneous mark‐ups and trade costs, the observable productivity of exporters in proximity to the export‐indifferent firm turns out to be lower than that of non‐exporters; that is, the productivity distributions overlap. The paper reviews empirical literature that reports non‐positive exporter productivity premia in firm‐level data and discusses implications for empirical research on exporter performance, including learning and the role of non‐parametric regressions (stochastic dominance, quantile regressions), fixed costs, and productivity distributions.