parallel imports price controls and innovation the impact of parallel trade on innovation in r d intensive industries such as pharmaceuticals is a hotly debated question in antitrust and ip policy the well known argument that parallel trade dampens innovation by undermining firms ability to price discriminate has been challenged by recent literature the argument is that with endogenous price controls parallel trade increases innovation by reducing governments incentives to set particularly low price caps in this paper we show that this result crucially depends on the degree of homogeneity of the trading countries the result only holds if consumers in poorer countries have a relatively similar demand for medication as consumers in richer countries instead when countries are relatively heterogeneous parallel trade dampens innovation and lowers welfare by exporting price cap regulation from poorer to richer countries these findings are in line with recent case evidence we also show that when patent length is endogenous richer countries will tend to choose longer patent protection with parallel trade whereas equilibrium price caps tend to be tighter in that case

equilibrium parallel import policies and international market structure in a north south vertically differentiated duopoly the analysis in this paper derives equilibrium government policies towards parallel imports by incorporating strategic interaction at the policy setting stage and the product market the model sheds new light on i the effects of parallel import policies on pricing behavior of firms and ii the interdependence of national parallel import policies if demand asymmetry across countries is sufficiently large the north forbids parallel imports to ensure its firm sells in the south thereby generating international price discrimination the south s most preferred market outcome as the equilibrium when demand structures are relatively similar across countries the north permits parallel imports and uniform pricing its most preferred market outcome obtains

two monies two markets variability and the option to segment abstract this paper examines the decision to create barriers to arbitrage for a firm selling on two national markets real exchange rate changes affect the incentives to create such barriers since they influence the optimal prices sunk costs of market segmentation imply that the option to segment markets is more valuable the greater the variability of the real exchange rate if a monetary union reduces future real exchange rate variability it could thus stimulate market integration

on the effect of demand randomness on inventories and costs we explore analytically cardinal effects of the extent of demand randomness on optimal inventory levels and the associated expected costs to model changes in demand randomness we make extensive use of a mean preserving transformation commonly used in probabilistic microeconomics as well as the notion of risk pooling aggregating independent demands for the single period news vendor model the order quantity and associated costs are shown to depend on the randomness parameter in a simple and highly interpretable manner we show by a simple example that in some situations risk pooling might neither reduce inventories nor move them closer to the mean or median demand the managerial relevance of such analyses is discussed

how to use aggregation and combined forecasting to improve seasonal demand forecasts standard forecasting methods that are designed to cope with seasonal demand often are no longer applicable in practice due to growing assortments and shorter product life cycles demand data may show too high variation or may be insufficient to construct reliable forecast models at the individual item level in this article we present alternative forecasting methods that are based on using demand information from a higher aggregation level and on combining forecasts sales data from two prominent dutch wholesalers are used to illustrate the drawbacks of the standard seasonal forecasting methods and to demonstrate the potential of the new methods the average reduction in forecast error in terms of mse turns out to be three times as large as reported in earlier studies on common seasonal patterns

international effects of national regulations external reference pricing and price controls under external reference pricing erp the price that a government permits a firm to charge in its market depends upon the firm s prices in other countries in a two country home and foreign model where demand is asymmetric across countries we show that home s unilaterally optimal erp policy permits the home firm to engage in a threshold level of international price discrimination above which it is just willing to export if the firm faces a price control abroad or bargains over price with the foreign government an erp policy can even yield higher home welfare than a direct price control

symmetric pass through of tariffs and exchange rates under imperfect competition an empirical test abstract this paper examines the effect of tariffs and exchange rates on u s prices of japanese cars trucks and motorcycles in particular we test whether the long run pass through of tariffs and exchange rates are identical the symmetry hypothesis we find that this hypothesis is easily accepted in our sample we also find that the pass through relation varies across products ranging from about 0 6 for trucks to unity for motorcycles these coefficients have very different implications for trade policy we explain the results based on demand cost and institutional conditions in each industry

combining economic forecasts a method for combining forecasts may or may not account for dependence and differing precision among forecasts in this article we test a variety of such methods in the context of combining forecasts of gnp from four major econometric models the methods include one in which forecasting errors are jointly normally distributed and several variants of this model as well as some simpler procedures and a bayesian approach with a prior distribution based on exchangeability of forecasters the results indicate that a simple average the normal model with an independence assumption and the bayesian model perform better than the other approaches that are studied here

price discrimination by u s and german exporters the insensitivity of the u s trade balance to the sharp depreciation of the dollar in the past three years has revived interest in the relationship between exchange rates and the trade balance a central issue in most analyses of the relation between the current account and the exchange rate concerns the price adjustment process the simple integrated competitive market model predicts that local currency prices should change in proportion to the nominal exchange rate for a country too small to influence world prices the relationship between local currency import prices and exchange rates has been referred to as the pass through relationship in the empirical literature in international economics if the proportional relationship between import prices and exchange rates holds pass through is said to be complete accounts of recent u s experience cite the failure of dollar prices of imported goods to rise in proportion to exchange rates i e incomplete pass through as an important factor in explaining the persistence of the trade deficit unfortunately observations on pass through alone provide limited insight into the behavior of markets since incomplete pass through is consistent with at least two fundamentally different paradigms one is the standard competitive model of trade in which the law of one price holds but exchange rate fluctuations are associated with large changes in import demand due to other factors for example if dollar appreciation is correlated with increases in world demand and industry marginal cost is increasing then pass through will be less than complete the other is an imperfectly competitive model in which exporters are capable of price discriminating across destination markets a phenomenon paul krugman 1987 has labeled pricing to market in this model incomplete pass through is typically associated with fluctuations in the markup of price over marginal cost on exports 2 these fluctuations in markups are believed to be countryspecific they do not reflect the behavior of prices to other export destinations both models are plausible explanations of recent u s experience unfortunately it is impossible to distinguish between these competing models using only information on import prices and exchange rates for a single country in order to distinguish between the competing models an empirical analysis of goods prices and exchange rates must be capable of measuring either marginal cost or the markup over marginal cost either of these tasks poses formidable empirical problems much of the empirical literature in industrial organization has been concerned with precisely these issues since markups are an important measure of the competitiveness of industries

smarter than metering coupling smart meters and complementary currencies to reinforce the motivation of households for energy savings a crucial argument in the debate around smart meter deployment in the eu is the potential for households to save energy one strand of research in this field has investigated the effects on household energy consumption of the feed back provided by smart meters however another aspect that deserves attention is the motivation for households to use the feed back to save energy this paper explores how the emerging trend of using complementary currencies for sustainability policies could translate into new interventions adapted to the smart meter deployment and capable of promoting more autonomous forms of motivation compared to interventions using official currencies three systems designs rewarding regulatory and hybrid are presented and discussed within the framework of self determination theory because the rewarding system s1 can contribute positively people s basic needs for autonomy competence and relatedness it could lead to more autonomous forms of motivation the conclusions regarding the regulatory system s2 are less clear although the hybrid variant s3 that integrates mechanisms from the rewarding system into the regulatory system could be perceived as more consonant with people s basic need for autonomy

price regulation and parallel imports of pharmaceuticals abstract this paper studies the effects of price regulation and parallel imports in the on patent pharmaceutical market in a theory model where the producer price is subject to bargaining between the brand name producer and a distributor we show that the effects of stricter price regulation crucially depend on whether the producer faces competition from parallel imports while parallel imports improve the bargaining position of the distributor price regulation counteracts this effect and may even be profitable for the producer we test the implications of our model on a unique dataset with information on sales and prices at both producer and retail level for 165 substances over 4 years 2004 2007 we show that stricter price regulation reduces competition from parallel imports and has no strictly negative effect on producer profits in the presence absence of parallel imports our results suggest that price regulation might improve static efficiency without being harmful for dynamic efficiency in the presence of parallel imports

forecasting with temporal hierarchies this paper introduces the concept of temporal hierarchies for time series forecasting a temporal hierarchy can be constructed for any time series by means of non overlapping temporal aggregation predictions constructed at all aggregation levels are combined with the proposed framework to result in temporally reconciled accurate and robust forecasts the implied combination mitigates modelling uncertainty while the reconciled nature of the forecasts results in a unified prediction that supports aligned decisions at different planning horizons from short term operational up to long term strategic planning the proposed methodology is independent of forecasting models it can embed high level managerial forecasts that incorporate complex and unstructured information with lower level statistical forecasts our results show that forecasting with temporal hierarchies increases accuracy over conventional forecasting particularly under increased modelling uncertainty we discuss organisational implications of the temporally reconciled forecasts using a case study of accident emergency departments

pareto price discrimination abstract as the collection of consumer data becomes more common online merchants are better equipped to price discriminate now more than ever before while standard first degree price discrimination benefits merchants and harms consumers relative to uniform pricing i derive an alternative first degree pricing strategy that achieves efficiency and pareto improves upon the uniform pricing equilibrium furthermore i show that price ceilings can enforce these pareto price discrimination strategies making pareto price discrimination a viable option for merchants and policy makers

price discrimination and patent policy patent and antitrust policy are often presumed to be in conflict as an important example there is ongoing controversy about whether price discrimination by a patent holder is an illegal or socially undesirable exploitation of monopoly power in this article we show that no conflict exists in many price discrimination cases even ignoring the dynamic effects on incentives for innovation third degree price discrimination by patent holders can raise static social welfare in fact pareto improvements may well occur welfare gains occur because price discrimination allows patent holders to open new markets and to achieve economies of scale or learning further even in cases where discrimination incurs static welfare losses it may be efficient relative to other mechanisms such as length of patent life for rewarding innovators with profits

international price discrimination the pharmaceutical industry abstract it is generally asserted that price discrimination is a common feature of the international pharmaceutical market resulting in unnecessarily high medical costs to developing countries since it is pharmaceuticals that are the largest component of their health care expenditures however little comprehensive empirical research has been carried out to test this hypothesis this article compares the prices of identical packages of pharmaceutical products for 32 countries for the year 1975 and examines which factors contribute to thehuge price differences a strong positive relationship between price level and per capita gdp is found a 10 increase in per capita income being associated with on average 8 higher drug prices the implementation of direct price control measures by the government results on average in a 20 price reduction while government policies such as bulk purchasing through a centralized government agency promotion of the use of generics and to a lesser extent excluding patent protection seem to be sucessful in lowering the general price level of pharmaceuticals these results suggest that the pharmaceutical industry charges what the market will bear

risk aversion in inventory management traditional inventory models focus on risk neutral decision makers i e characterizing replenishment strategies that maximize expected total profit or equivalently minimize expected total cost over a planning horizon in this paper we propose a framework for incorporating risk aversion in multiperiod inventory models as well as multiperiod models that coordinate inventory and pricing strategies we show that the structure of the optimal policy for a decision maker with exponential utility functions is almost identical to the structure of the optimal risk neutral inventory and pricing policies these structural results are extended to models in which the decision maker has access to a partially complete financial market and can hedge its operational risk through trading financial securities computational results demonstrate that the optimal policy is relatively insensitive to small changes in the decision maker s level of risk aversion

parallel imports challenges from unauthorized distribution channels we examine the problem of parallel imports unauthorized flows of products across countries which compete with authorized distribution channels the traditional economics model of a discriminating monopolist that has different prices for the same good in different markets requires the markets to be separated in some way usually geographically the profits from price discrimination can be threatened by parallel imports that allow consumers in the high priced region some access to the low priced marketplace however as this article shows there is a very real possibility that parallel imports may actually increase profits the basic intuition is that parallel importation becomes another channel for the authentic goods and creates a new product version that allows the manufacturer to price discriminate we propose a two country three stage model to quantitatively study the effects and strategies in the third stage and in the higher priced country where parallel imports have entered we characterize the resulting market segmentation one segment of consumers stays with the authorized version as they place more value on the warranty and services that come with the authorized version another segment switches to parallel imports because a lower price is offered due to lack of country specific features or warranties parallel imports also generate a third and new segment that would not have bought this product before unlike counterfeits that are fabricated by imitators all parallel imports are genuine and sourced from the manufacturer in the lower priced country through authorized dealers therefore the manufacturer s global sales quantity should increase but profit may rise or fall depending on the relative sizes and profitability of the segments a profit maximizing parallel importer should set price and quantity in the second stage after observing the manufacturer s prices in both countries there will be a threshold of across country price gap above which parallel imports would occur in the first stage the manufacturer can anticipate the possible occurrence of a parallel import its price and quantity and its effect on authorized sales in each country to make a coordinated pricing decision to maximize the global supply chain profit under some circumstances the manufacturer should allow parallel imports and under others should prevent them through a stackelberg game we solve for the optimal pricing strategy in each scenario we then find in one extension that when the number of parallel importers increases the optimal authorized price gap should narrow but the prices and quantities of parallel imports may rise or fall in another extension we nd that when the manufacturer has other means such as monitoring dealers differentiating designs and unbundling warranties to contain parallel imports the authorized price gap can widen as a function of the effectiveness of nonpricing controls in summary parallel imports may help the manufacturer to extend the global reach of its product and even boost its global profit if the manufacturer offers a discount version through its authorized dealers it is running a high risk of confusing customers and tarnishing brand images parallel imports may cause similar concerns for the manufacturer but unauthorized dealers are perceived as further removed from the manufacturer therefore there is less risk of confusing consumers when parallel imports are channeled through unauthorized dealers furthermore they are more nimble in diverting the product whenever their transshipment and marketing costs are small enough not to offset the authorized price gap and the valuation discount this may explain why some manufacturers fiercely fight parallel imports while others knowingly use this alternative channel

the evolution of price dispersion in the european car market car prices in europe are characterized by large and persistent differences across countries the purpose of this paper is to document and explain this price dispersion using a panel data set extending from 1980 to 1993 we first demonstrate two main facts concerning car prices in europe i the existence of significant differences in quality adjusted prices across countries with italy and the u k systematically representing the most expensive markets 2 substantial year to year volatility that is to a large extent accounted for by exchange rate fluctuations and the incomplete response of local currency prices to these fluctuations these facts are analysed within the framework of a multiproduct oligopoly model with product differentiation the model identifies three potential sources for the international price differences price elasticities generating differences in markups costs and import quota constraints local currency price stability can be attributed either to the presence of a local component in marginal costs or to markup adjustment that is correlated with exchange rate volatility the latter requires that the perceived elasticity of demand is increasing in price we find that the primary reason for the higher prices in italy is the existence of a strong bias for domestic brancs that generates high markups for the domestic firm fiat in the u k higher prices are mainly attributed to better equipped cars and or differences in the dealer discount practices the import quota constraints are found to have a significant impact on japanese car prices in italy france and the u k with respect to local currency price stability a large percentage of the documented price inertia can be attributed to local costs and a smaller fraction to markup adjustment that is indicative of price discrimination based on these results we conjecture that the emu will substantially reduce the year to year volatility observed in the car price data but without further measures to increase european integration it will not completely eliminate existing cross country price differences

parallel imports demand dispersion and international price discrimination parallel imports goods imported by unauthorized resellers are advocated worldwide for undermining international price discrimination for a continuum of markets we find that uniform pricing by a monopolist yields lower global welfare than third degree discrimination if demand dispersion across markets is large though uniform pricing avoids output misallocation too many markets go unserved mixed systems permitting discrimination across but not within designated groups of markets yield significantly higher welfare than uniform pricing or unrestricted multimarket discrimination and can pareto dominate uniform pricing thus while parallel imports might benefit some countries our results weaken the multilateral case for allowing them

why parallel trade may raise producers profits abstract this paper shows that a manufacturer may benefit from parallel trade in addition to an intuitive condition about the effect of demand shocks this occurs when competitive retailers must order inventories before they know the realization of demand and for products whose sale value drops at the end of the demand period for these types of products letting retailers trade unsold inventories generally results in larger orders placed with the manufacturer and higher manufacturer profit the model provides a simple explanation as to why the volume of parallel trade is now very large and accepted by manufacturers for some products such as automobiles clothes toys consumer electronics musical recordings cosmetics and perfumes

the impact of parallel imports on investments in cost reducing research and development abstract we develop a two country model of endogenous investment in process innovation by a manufacturer facing competition from parallel imports pi we find that the distortions associated with pi inhibit innovation however the difference between the manufacturer s expected profits under successful and failed innovation is u shaped in the cost of engaging in pi thus the reduction in r d investment depends on both legality of pi and transport costs the reduction in innovation could harm global welfare depending on whether the manufacturer was deterring pi with a high wholesale price if so banning such trade would raise expected welfare

distributions of forecasting errors of forecast combinations implications for inventory management inventory control systems rely on accurate and robust forecasts of future demand to support decisions such as setting of safety stocks the combination of multiple forecasts is shown to be effective not only in reducing forecast errors but also in being less sensitive to limitations of a single model research on forecast combination has primarily focused on improving accuracy largely ignoring the overall shape and distribution of forecast errors nonetheless these are essential for managing the level of aversion to risk and uncertainty for companies this study examines the forecast error distributions of base and combination forecasts and their implications for inventory performance it explores whether forecast combinations transform the forecast error distribution towards desired properties for safety stock calculations typically based on the assumption of normally distributed errors and unbiased forecasts in addition it considers the similarity between in and out of sample characteristics of such errors and the impact of different lead times the effects of established combination methods are explored empirically using a representative set of forecasting methods and a dataset of 229 weekly demand series from a leading household and personal care uk manufacturer findings suggest that forecast combinations make the in and out of sample behaviour more consistent requiring less safety stock on average than base forecasts furthermore we find that using in sample empirical error distributions of combined forecasts approximates well the out of sample ones in contrast to base forecasts

parallel imports and repair services abstract this study explores the welfare effects of parallel imports when the producer may refuse to provide repair services for parallel imported units which reduces the degree of price convergence between countries if the probability of the product s breakdown is endogenously determined by the producer permitting parallel imports could increase the probability because a higher probability leads to a larger price gap as a result it is possible that prices increase and welfare deteriorates in both countries this negative welfare effect is more likely to emerge as the liberalization of trade in goods proceeds the prohibition of service discrimination recovers the positive welfare effect

vertical distribution parallel trade and price divergence in integrated markets we develop a model of vertical pricing in which an original manufacturer sets wholesale prices in two markets that are integrated at the distributor level by parallel imports pi the manufacturing rm needs to set these two prices to balance three competing interests restricting competition in the pi recipient market avoiding resource wastes due to actual trade and reducing the double markup problem in the pi source nation

intellectual property rights and the world trade organization retrospect and prospects this paper analyzes the main economic issues of intellectual property rights iprs protection in the context of the world trade organization wto a retrospective view on the establishment of the trips trade related aspects of intellectual property rights agreement a still controversial accomplishment of the uruguay round of trade liberalization is provided the paper reviews the economic rationale for the harmonization of iprs drawing both on economic theory considerations as well as emerging empirical evidence the logic of linking ipr protection and trade in the context of the wto is also re examined some specific attention is devoted to the implications of trips for agricultural and biotechnology innovations the impact that ipr protection can have in promoting growth and development and the relation of iprs with other economic policies is discussed the paper concludes with an analysis of the prospects for more or less iprs related consensus in the current round of wto negotiations

exchange rate pass through when market share matters the authors investigate the pass through from exchange rates to import prices when firms future demands depend on their current market shares they show that profit maximizing foreign firms may either raise or lower their dollar export prices when the dollar appreciates temporarily i e the pass through may be perverse and that current import prices may be more sensitive to expected future exchange rates than to current exchange rates they present evidence that suggests the behavior of expected future exchange rates may provide a clue to the puzzling recent behavior of u s import prices copyright 1989 by american economic association

commodity taxation and parallel imports we examine the interaction between commodity taxes and parallel imports in a two country model with imperfect competition while governments determine non cooperatively their commodity tax rate the volume of parallel imports is determined endogenously by the retailing sector we compare the positive and normative implications of having commodity taxes based on destination or origin principle we show that as the volume of parallel imports increases non cooperative origin taxes converge while destination taxes diverge moreover origin taxes are more similar and lead to higher aggregate welfare levels than destination taxes

compulsory licensing and patent protection a north south perspective in a stylized model involving a developing country called south and a foreign patent holder we analyze whether and how the incidence and social value of compulsory licensing cl depends upon the south s patent protection policy if south is free to deny patent protection cl fails to arise in equilibrium and the option to use it makes both parties worse off if south is obligated to offer patent protection cl can occur and even yield a pareto improvement the ability to control price increases the south s incentive for patent protection as well as the likelihood of cl this article is protected by copyright all rights reserved

adjustment costs and pricing to market theory and evidence abstract this paper develops an adjustment cost model of pricing to market the model consists of a monopolist who supplies an identical nondurable good to two foreign markets it is shown that the degree of pricing to market increases with the relative importance of the transitory component in exchange rates customs data from 1978 through 1987 on u s and canadian imports of seven german commodities are used to estimate the model s parameters and test its over identifying restrictions

cross border travellers and parallel trade implications for asian economies this paper explores the impact of parallel trade in an export market by cross border travellers on welfare of the home country in a model with heterogeneous consumers perceptions we show that such parallel trade when it is organised trading always hurts the home country welfare however when parallel trade is unorganised trading it might benefit the home country welfare provided that the size of the export market is relatively small along these lines we suggest optimal policy responses in the home country to parallel trade by cross border travellers the results of the paper yield insightful policy implications for asian economies

the value of combining forecasts in inventory management a case study in banking managing inventories in the face of uncertain stochastic demand requires an investment in safety stocks these are related to the accuracy in forecasting future demands and the noise in the demand generation process reducing the demand forecasting error can free up capital and space and reduce the operating costs of managing the inventories a leading bank in hong kong consumes more than three hundred kinds of printed forms for its daily operations a major problem of its inventory control system for the forms management is to forecast the monthly demand of these forms in this study the idea of combining forecasts is introduced and its practical application is addressed the individual forecasts come from well established time series models and the weights for combination are estimated with quadratic programming the combined forecast is found to perform better than any of the individual forecasts

the effects of third degree price discrimination in oligopoly retail firms and restaurants commonly offer senior citizen discounts i suspect this practice is not motivated by altruism rather the behavior can be better explained as profit maximizing price discrimination these firms are setting a low price in a market which probably has high elasticity of demand but why should the demand of senior citizens be more elastic than average one possibility is that elderly people have below average income and they would not eat out if restaurant prices were high perhaps a more plausible explanation is that retired people simply have more time on their hands to spend commuting across town to take advantage of discounts the purpose of these discounts may then be to lure senior citizens away from other restaurants rather than to get them out of the house the analysis of third degree price discrimination has a long history a c pigou 1920 joan robinson 1933 and two articles on the subject have recently appeared in this review richard schmalensee 1981 hal varian 1985 the industry structure in these analyses is monopoly but an explicit model of some form of competition is obviously needed to study discriminatory discounts meant to attract customers from rival firms and even discounts meant to get people out of the house may have an oligopoly analysis which is qualitatively different from their monopoly anlysis in this paper i present a simple duopoly model of a differentiated products industry i show that a firm s price elasticity of demand in a market can be expressed as the sum of two parts the industry demand elasticity and the cross price elasticity the first measures the tendency of consumers in a market to stay home when the price goes up the second the tendency to switch suppliers in the monopoly case in which the crossprice elasticity is zero and the collusive case in which the cross price elasticity is irrelevant discrimination between markets is due to differences in industry demand elasticity in the noncooperative oligopoly case equilibrium price differentials can be accounted for both by differences in cross price elasticity as well as differences in industry demand elasticity total industry output when the firms can discriminate between two markets is compared to what it would be if discrimination were impossible which regime has larger output depends on the sum of the adjustedconcavity condition and the elasticity ratio condition the first predominates when the rival products are poor substitutes and the firms have approximate monopoly power while the second predominates at the other extreme where the products are close substitutes and the firms have almost no market power the adjusted concavity condition compares the relative curvature of demands in the two markets and was originally discovered by robinson 1933 in her analysis of monopoly price discrimination the elasticity ratio condition compares the relative difference in industry demand elasticity between the two markets with the relative difference in cross price elasticity according to the elasticity ratio condition a discriminatory discount due to high industry elasticity of demand would be more likely to increase total output than one due to high cross price elasticity the effect of discrimination on profit is also discussed the distinction made here department of economics university of wisconsin madison madison wi 53706 this paper is a revision of part of my doctoral dissertation i am grateful to steve matthews ken judd and john panzar for guidance in this research i also thank seminar participants at wisconsin the justice department and the 1986 econometric society meetings in new orleans and the discussant martin perry the excellent comments of the referees improved the exposition of the paper

international telecom settlements gaming incentives carrier alliances and pareto superior reform liberalized countries that allow competition in international telecommunications favor traffic re routing practices as arbitrage against foreign monopolists this view is seriously incomplete monopolists allied with carriers in liberalized countries can use these practices to reduce termination payments to nonalliance carriers thereby harming also consumers in liberalized countries by gaming regulations that require equal termination rates at both ends and proportional return the monopolist s traffic is allocated among carriers in proportion to their shares of traffic to its country we also present a simple bilateral settlements reform that eliminates gaming incentives and other proportional return distortions yet benefits both countries

third degree price discrimination in linear demand markets effects on number of markets served and social welfare author affiliation victor kaftal department of mathematical sciences 839 c old chemistry building university of cincinnati cincinnati oh 45221 usa victor kaftal uc edudebashis pal department of economics 1204 crosley tower university of cincinnati cincinnati oh 45221 debashis pal uc edu corresponding author acknowledgment we are grateful to rick harbaugh laura razzolini david sappington and two anonymous reviewers debashis pal is also grateful to taft research center for financial support 1 introductiondoes monopolistic third degree price discrimination reduce social welfare the question has continued to intrigue economists and policy makers for more than half a century the seminal work of robinson 1933 shows that if a monopolist with a constant marginal cost sells in two distinct and independent markets having linear demands then welfare falls with third degree price discrimination almost half a century later schmalensee 1981 reexamines robinson s result and demonstrates that for any number of markets with linear demands third degree price discrimination lowers welfare schmalensee 1981 also establishes more generally that price discrimination increases welfare only if it increases aggregate output subsequently using ingenious duality approaches varian 1985 and schwartz 1990 generalize the results for correlated demands and nonlinear marginal costs 1it is therefore well known that for linear market demands and constant marginal costs monopolistic third degree price discrimination indeed lowers welfare it is important to note however that the welfare reducing effect of third degree price discrimination is derived under a crucial assumption it is assumed that if the monopolist is forced to charge the same price in all markets uniform pricing the monopolist would sell a positive quantity in each market in a recent article cowan 2007 considers various forms of nonlinear demands and presents the necessary and sufficient and or sufficient conditions for price discrimination to reduce welfare cowan 2007 however also assumes that all markets are served under uniform pricing yet when this assumption does not hold the welfare effects of monopolistic third degree price discrimination turn out to be significantly more intricate observe that when all markets are not served under uniform pricing price discrimination may increase welfare because price discrimination may serve markets that would not be served under uniform pricing thus relative to uniform pricing price discrimination has two countervailing effects on welfare aggregate welfare goes down in those markets that are originally served under uniform pricing whereas welfare goes up in those markets that are not served under uniform pricing therefore the additional welfare from the new markets under price discrimination may offset any loss of welfare in the markets that are originally served under uniform pricing the point is strongly emphasized in schmalensee s 1981 seminal work in the context of prescription drugs an identical sentiment is recently echoed in varian 2000 in the context of two markets the possibility of price discrimination opening up new markets is first analyzed graphically by battalio and ekelund 1972 layson 1994 also considers two markets but includes nonlinear demands and presents conditions for opening of new markets based on endogenous features such as elasticities in the context of patent policy opening of new markets by price discrimination is explicitly incorporated by hausman and mackie mason 1988 using two markets they show that price discrimination by a patent holder is socially desirable in many cases because it allows the patent holder to open new markets there is a related literature in spatial economics beginning with greenhut and ohta 1972 and holahan 1975 that deals with spatial price discrimination and market opening with linear demand

exchange rates and prices the adjustment of relative prices to exchange rate movements is explained in an industrial organization approach given labor costs in the respective currencies exchange rate movements change costs for firms selling in the home market and thus disturb the industry equilibrium the extent of absolute and relative price adjustment is shown to depend on market integration product substitutability the relative number of domestic and foreign firms and the market structure the impact of exchange rates on prices is illustrated in a variety of approaches including the cournot a dixit and j stiglitz 1977 and s salop 1979 models some empirical evidence is offered in support of the theory copyright 1987 by american economic association