competitive coupon targeting with the advent of panel data on household purchase behavior and the development of statistical procedures to utilize this data firms can now target coupons to selected households with considerable accuracy and cost effectiveness in this article we develop an analytical framework to examine the effect of such targeting on firm profits prices and coupon face values we also derive comparative statics on firms optimal mix of offensive and defensive couponing the number of coupons distributed redemption rates face values and incremental sales per redemption among our findings when rival firms can target their coupon promotions at brand switchers the outcome will be a prisoner s dilemma in which the net effect of targeting is simply the cost of distribution plus the discount given to redeemers

the federal funds rate and the channels of monetary transmission the authors show that the interest rate on federal funds is extremely informative about future movements of real macroeconomic variables then they argue that the reason for this forecasting success is that the funds rate sensitively records shocks to the supply of bank reserves that is the funds rate is a good indicator of monetary policy actions finally using innovations to the funds rate as a measure of changes in policy the authors present evidence consistent with the view that monetary policy works at least in part through credit i e bank loans as well as through money i e bank deposits copyright 1992 by american economic association

on cross border bank credit and the u s financial crisis transmission to equity markets this paper examines the role played by cross border equity bond and bank credit flows versus international trade in the transmission of the u s financial crisis to equity markets worldwide we estimate vector autoregressive models with exogenous global factors using monthly data on 36 emerging and developed countries the results from an eclectic methodology that includes causality tests generalized impulse responses and forecast error variance decompositions indicate that the crisis is mostly transmitted through bank credit rather than portfolio flows and international trade the results are robust to altering the exogenous versus endogenous vectors of variables to measuring equity prices in u s dollars or local currency to averaging the data across countries versus averaging the parameters from individual country estimation and to redefining the start date of the crisis the findings endorse the use of banking regulation and capital controls as part of the policy toolkit to limit financial vulnerability

macroprudential policies capital flows and the structure of the banking sector abstract using a large sample of advanced and emerging market economies over the period 1999 2012 we examine the effectiveness of macroprudential policies mpps in managing cross border bank flows conditioning on the structure of the banking sector in the mpp implementing country we find that higher regulatory quality and a higher credit to deposit ratio increase the effectiveness of mpps while a higher cost to income ratio has the opposite effect if all three financial variables are evaluated at the median the marginal effect of our preferred mpp measure leads to a reduction of international bank inflows in percent of gdp by around half a percentage point and is only marginally significant however when the more enhanced 25th 10th percentiles of their respective distributions are considered we observe as a response to the same mpp measure a reduction of bank inflows by 3 44 5 39 percentage points that is highly statistically and economically significant additionally we find that the structure of the domestic banking sector determines spillovers from mpps across asset classes while spillovers from mpps across countries are a function of banking sector conditions both at home and abroad

internal capital markets and the competition for corporate resources this article examines the role of corporate headquarters in allocating scarce resources to competing projects in an internal capital market unlike a bank headquarters has control rights that enable it to engage in winner picking the practice of actively shifting funds from one project to another by doing a good job in the winner picking dimension headquarters can create value even when it cannot help at all to relax overall firm wide credit constraints the model implies that internal capital markets may sometimes function more efficiently when headquarters oversees a small and focused set of projects this article analyzes the process by which internal capital markets channel limited resources to different uses inside a company in so doing it seeks to address two related sets of questions first what is the fundamental economic rationale for creating an internal capital market that is under what circumstances can it make sense to combine several technologically distinct projects under one roof and have them seek funding from corporate headquarters as opposed to setting them up as stand alone companies that each raise external financing on their own second given this rationale what is the optimal size and scope of an internal capital market should headquarters be involved in funding a large number of projects or just a few and should these projects be unrelated to one another or in similar lines of business the answers to both sets of questions flow from the insight that in a credit constrained setting where not all positive npv projects can be financed headquarters can create value by actively reallocating scarce funds across projects for example the cash flow generated by one division s activities may be taken and spent on investment in another division where the returns are higher or alternatively one division s assets may be used as collateral to raise financing that is then diverted to the other division simply put individual projects must compete for the scarce funds and headquarters job is to pick the winners and losers in this competition

spillovers through banking centers a panel data analysis of bank flows abstract this paper presents evidence that spillovers through bank lending contributed to the transmission of currency crises during the recent episodes of financial instability in emerging markets the innovation of the paper is that it looks beyond aggregated measures of contagion into the structure of bank flows disaggregating by banking centers the main findings are that spillovers caused by banks exposures to a crisis country help predict flows in third countries after the mexican and asian crises but not after the russian crisis in the latter there is evidence of a generalized outflow from emerging markets the importance of spillovers through banking centers suggests that countries might reduce contagion risk by diversifying the sources of their financing and by carefully monitoring borrowing from creditors exposed to potential crisis countries

multi dimensional screening a user s guide abstract multi dimensional screening models have many potential applications but economists have so far been hindered by the considerable technical difficulties involved in their resolution this paper studies the simplest formulation of the general screening model and we provide a complete solution to this case we then show how this model can be applied to multi product nonlinear pricing and to multi product monopoly regulation finally we discuss how the model has been applied to other economic situations of interest including auction design and optimal taxation

monetary policy rules macroeconomic stability and inflation a view from the trenches i estimate a forward looking monetary policy reaction function for the federal reserve for the periods before and after paul volcker s appointment as chairman in 1979 using information that was available to the fomc in real time from 1966 to 1995 the results suggest broad similarities in policy and point to a forward looking approach to policy consistent with a strong reaction to inflation forecasts during both periods this contradicts the hypothesis based on analysis with ex post constructed data that the instability of the great inflation was the result of weak fomc policy responses to expected inflation a difference is that prior to volcker s appointment policy was too activist in reacting to perceived output gaps that retrospectively proved overambitious drawing on contemporaneous accounts of fomc policy i discuss the implications of the findings for alternative explanations of the great inflation and the improvement in macroeconomic stability since then

competitive price discrimination we model firms as supplying utility directly to consumers the equilibrium outcome of competition in utility space depends on the relationship u between profit and average utility per consumer public policy constraints on the deals firms may offer affect equilibrium outcomes via their effect on u f rom this perspective we examine the profit utility and welfare implications of price discrimination policies in an oligopolistic framework we also show that an equilibrium outcome of competitive nonlinear pricing when consumers have private information about their tastes is for firms to offer efficient two part tariffs

natural disasters damage to banks and firm investment this article investigates the effect of banks lending capacity on firms investment to identify exogenous shocks to loan supply we utilize the natural experiment provided by japan s great hanshin awaji earthquake in 1995 using a unique data set that allows us to identify firms and banks in the earthquake affected areas we find that the investment ratio of firms located outside the earthquake affected areas but having a main bank inside the areas was significantly smaller than that of firms located outside the areas and having a main bank outside the areas our findings suggest that loan supply shocks affect firm investment abstract from author

hot money in bank credit flows to emerging markets during the banking globalization era this paper investigates the relative importance of hot money in bank credit and portfolio flows from the us to 18 emerging markets over the period 1988 2012 we deploy state space models a la kalman filter to identify the unobserved hot money as the temporary component of each type of flow the analysis reveals that the importance of hot money relative to the permanent component in bank credit flows has significantly increased during the 2000s relative to the 1990s this finding is robust to controlling for the influence of push and pull factors in the two unobserved components the evidence supports indirectly the view that global banks have played an important role in the transmission of the global financial crisis to emerging markets and endorses the use of regulations to manage international capital flows

price discrimination and social welfare studies the effect of price discrimination on social welfare using methods from duality theory features of the reservation model presented quasi linear utility and consumers surplus upper and lower bounds on welfare change bounds on welfare change with optimal price discrimination from ebsco

monetary policy rules based on real time data this paper examines the magnitude of informational problems associated with the implementation and interpretation of simple monetary policy rules using taylor s rule as an example i demonstrate that real time policy recommendations differ considerably from those obtained with ex post revised data further estimated policy reaction functions based on ex post revised data provide misleading descriptions of historical policy and obscure the behavior suggested by information available to the federal reserve in real time these results indicate that reliance on the information actually available to policy makers in real time is essential for the analysis of monetary policy rules

competitive price discrimination strategies in a vertical channel using aggregate retail data we explore opportunities for targeted pricing for a retailer that only tracks weekly store level aggregate sales and marketing mix information we show that it is possible using these data to recover essential features of the underlying distribution of consumer willingness to pay knowledge of this distribution may enable the retailer to generate additional profits from targeting by using choice information at the checkout counter in estimating demand we incorporate a supply side model of the distribution channel that captures important features of competitive price setting behavior of firms this latter aspect helps us control for the potential endogeneity generated by unmeasured product characteristics in aggregate data the channel controls for competitive aspects both between manufacturers and between manufacturers and a retailer despite this competition we find that targeted pricing need not generate the prisoner s dilemma in our data this contrasts with the findings of theoretical models due to the flexibility of the empirical model of demand the demand system we estimate captures richer forms of product differentiation both vertical and horizontal as well as a more flexible distribution of consumer heterogeneity

the effect of changes in the federal funds rate target on market interest rates in the 1970s abstract this paper examines the influence of monetary policy on interest rates by estimating the effect of changes in the federal funds rate target the federal reserve s policy instrument on market interest rates in the 1970s we find that changes in the target caused large movements in short term rates and smaller but significant movements in intermediate and long term rates we hypothesize that the similarity of the reactions of three six and twelve month rates to changes in the target offers a possible explanation for the lack of support for the expectations theory from studies that have tested the theory using these rates

dynamic limited dependent variable modeling and u s monetary policy i estimate using real time data a forward looking monetary policy reaction function that is dynamic and that also accounts for the fact that there are substantial restrictions in the period to period changes of the fed s policy instrument i nd a substantial contrast between the periods before and after paul volcker s appointment as fed chairman in 1979 both in terms of the fed s response to expected in ation and in terms of its response to the perceived output gap in the pre volcker era the fed s response to in ation was substantially weaker than in the volcker greenspan era conversely the fed seems to have been more responsive to real activity in the pre volcker era than later

liquidity management of u s global banks internal capital markets in the great recession abstract the recent crisis highlighted the importance of globally active banks in linking markets one channel for this linkage is through how these banks manage liquidity across their entire banking organization we document that funds regularly flow between parent banks and their affiliates in diverse foreign markets we show that parent banks when hit by a funding shock reallocate liquidity in the organization according to a locational pecking order affiliate locations that are important for the parent bank revenue streams are relatively protected from liquidity reallocations in the organization while traditional funding locations are more extensively used to buffer shocks to the parent bank balance sheets

follow the money quantifying domestic effects of foreign bank shocks in the great recession the financial crises have focused consider able academic and policy attention on the roles of foreign banks in transmitting shocks and creating vulnerability for host or parent countries adverse consequences are presumed and a premise of their destabilizing behavior in particular surrounding the branches of foreign banks has taken hold global banks actively allocate funds across their banking organizations in normal times and in stress periods cetorelli and goldberg forthcoming during the great recession some for eign locations of us banks were core investment markets that continued as destinations for funding while other foreign locations served as core funding markets that would send even larger net flows to their parent banks following parent balance sheet disturbances cetorelli and goldberg 2011b in this paper we provide complementary evidence focusing on the perspective of a host country we analyze the activity of foreign banks

european business cycles new indices and their synchronicity this article presents a new business cycle index that allows for cycle to cycle comparisons of the depth of recessions within a country cross country comparisons of business cycle correlation and simple aggregation to arrive at a measure of a european business cycle the data augmentation implied by gibbs sampling generates posterior distributions for a latent coincident business cycle index subsample correlations between an aggregated europe index and the national business cycle indices from france germany and italy are consistent with the claim that the european economies are becoming more harmonized

the real effects of financial dis integration a multi country equilibrium analysis of europe using data from 15 european union economies we quantify the real effects of supply side frictions due to the financial disintegration of european countries since the 2008 financial crisis we develop a multi country general equilibrium model with heterogeneous countries and destination specific financial frictions financial institutions allocate capital endogenously across countries determining the cost of capital to firms and the wealth of nations the cost of financial disintegration is reduced access to capital for firms which results in lower output financial disintegration leads to a 0 54 fall in output in europe since the crisis we also estimate benefits of further financial integration

dynamic pricing when to entice brand switching and when to reward consumer loyalty this article develops a theory of dynamic pricing in which firms may offer separate prices to different consumers based on their past purchases brand preferences over two periods are described by a copula admitting various degrees of positive dependence when commitment to future prices is infeasible each firm offers lower prices to its rival s customers when firms can commit to future prices consumer loyalty is rewarded if preference dependence is low but enticing brand switching occurs if preference dependence is high our theory provides a unified treatment of the two pricing policies and sheds light on observed practices across industries

a model for the federal funds rate target this paper is a statistical analysis of the manner in which the federal reserve determines the level of the federal funds rate target one of the most publicized and anticipated economic indicators in the financial world the paper introduces new statistical tools for forecasting a discrete valued time series such as the target and suggests that these methods in conjunction with a focus on the institutional details of how the target is determined can significantly improve on standard vector autoregression forecasts of the effective federal funds rate we further show that the news that the fed has changed the target has statistical content substantially different from the news that the fed failed to make an anticipated target change causing us to challenge some of the conclusions drawn from standard linear var impulse response functions

third degree price discrimination in oligopoly all out competition and strategic commitment price discrimination by imperfectly competitive firms may intensify competition leading to lower prices for all consumers the tradeoff of consumer groups welfare that is characteristic of monopolistic discrimination need not arise this escalation of competition may make firms worse off and as a result firms may wish to avoid the discriminatory outcome under conditions similar to those in which unambiguous price and welfare effects may arise unilateral commitments not to price discriminate including the adoption of everyday low pricing or no haggle policies may raise firm profits by softening price competition

market set up in advance of federal reserve policy rate decisions textabstractthis paper considers the uncertainty associated with upcoming federal open market committee fomc announcements and the extent to which participants in the fed funds futures market prepare for such announcements before they actually occur we demonstrate that markets set up well in advance of known announcement days going back as far as six months prior to an fomc meeting as a result there is often less variation in fed funds futures prices in the period immediately preceding an fomc announcement despite greater volume of activity as the market has already incorpo rated anticipated signals we find that macro announcements and central bank officials speeches and congressional testimony are of comparable importance in addition while macro announcements have stronger effects when they are released during the fed s blackout period congressional testimony is more important when it coincides with days when important macro variables are released

bank rate policy under the interwar gold standard a dynamic probit model the classical gold standard occupies an almost mystical position in the literature of international finance in popular accounts the gold standard is portrayed as a remarkably durable and efficient mechanism for achieving price and exchange rate stability and for relieving balance of payments pressures the system s resilience is attributed to the willingness of nationa monetary authorities to refrain from impeding the international adjustment process when central banks intervened in financial markets it is said they did so mechanically obeying rules of the game which dictated that they reinforce the impact on domestic money and credit of changing balance of payments conditions succeeding generations of economists and historians have sought to qualify this popular view the recent contributions of bordo i98i and cooper i982 make a critical assessment of extravagant claims concerning price and exchange rate stability under the classical gold standard other authors have extended the research of bloomfield i 959 ford i962 and triffin i964 who emphasised the special conditions that permitted the classical gold standard s smooth operation and cast doubt on the tendency of national monetary authorities to adhere faithfully to rules of the game all too often scant mention is made of the interwar gold standard for it is not evident how interwar experience fits into either view certain facts are clear it is clear that the interwar standard was far from durable britain s resumption of gold payments in i925 usually is taken to mark the gold standard s resurrection just as her devaluation a mere 6 years later is taken as its demise in the interim many of the major participants suffered serious balance of payments pressures that threatened to render their exchange rates indefensible the system was anything but conducive to stability it precluded neither price nor income fluctuations as the great depression dramatically illustrated numerous explanations have been advanced for the interwar gold standard s

spatial price discrimination with heterogeneous products product heterogeneity is introduced into the context of spatial price discrimination many of the strong properties of the standard homogeneous goods case which are attained as a limit case here are shown to be no longer valid in particular the social optimum is no longer sustainable as a market equilibrium unless products are either identical or else very different

profitability of product bundling using copulas to model the stochastic dependence of values this article establishes new general conditions for the profitability of product bundling a multiproduct monopolist generally achieves higher profit from mixed bundling than from separate selling if consumer values for two of its products are negatively dependent are independent or have sufficiently limited positive dependence the profitability of monopoly bundling also extends to situations where a multiproduct firm competes with a single product rival

monopolistic competition price discrimination and welfare abstract this paper studies third degree price discrimination in a monopolistically competitive market when the number of firms is fixed price discrimination raises firm profit and reduces consumer welfare relative to uniform pricing when entry is endogenized the equilibrium product variety under price discrimination is always excessive compared with the social optimum whereas under uniform pricing variety may be too much or too little except when entry is far below the welfare optimum under uniform pricing a ban on price discrimination leads to enhanced consumer and social welfare

has u s monetary policy changed evidence from drifting coefficients and real time data despite the large amount of empirical research on monetary policy rules there is surprisingly little consensus on the nature or even the existence of changes in the conduct of u s monetary policy three issues appear central to this disagreement 1 the specific type of changes in the policy coefficients 2 the treatment of heteroskedasticity and 3 the real time nature of the data used this paper addresses these issues in the context of forwardlooking taylor rules with drifting coefficients the estimation is based on real time data and accounts for the presence of heteroskedasticity in the policy shock the findings suggest important but gradual changes in the rule coefficients not adequately captured by the usual split sample estimation in contrast to orphanides 2002 2003 i find that the fed s response to the real time forecast of inflation was weak in the second half of the 1970s perhaps not satisfying taylor s principle as suggested by clarida gali and gertler 2000 however the response to inflation was strong before 1973 and gradually regained strength from the early 1980s onward moreover as in orphanides 2003 the fed s response to real activity fell substantially and lastingly during the 1970s

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

multinational banks and the global financial crisis weathering the perfect storm we use data on the 48 largest multinational banking groups to compare the lending of their 199 foreign subsidiaries during the great recession with lending by a benchmark group of 202 domestic banks contrary to earlier more contained crises parent banks were not a significant source of strength to their subsidiaries during the 2008 09 crisis as a result multinational bank subsidiaries had to slow down credit growth about twice as fast as domestic banks this was particularly the case for subsidiaries of banking groups that relied more on wholesale market funding domestic banks were better equipped to continue lending because of their greater use of deposits a relatively stable funding source during the crisis we conclude that while multinational banks may contribute to financial stability during local bouts of financial turmoil they also increase the risk of importing instability from abroad

foreign bank behavior during financial crises one of the persistent policy problems faced by governments contemplating financial liberalizations is the question of whether to allow foreign banks entry into the domestic economy this question has become ever more urgent in recent times due to rapid financial globalization coupled with the credit contractions experienced as a result of the 2007 08 financial crisis this paper examines the question of whether opening the financial sector to foreign participation is a good idea for developing countries using a unique bank level database of foreign ownership in particular the authors examine whether the credit supply of majority foreign owned financial institutions differ systematically conditional on a crisis event in their home economies they show that foreign banks that were exposed to crises in their home countries exhibit changes in lending patterns that are lower by between 13 and 42 percent than their non crisis counterparts

why inflation rose and fell policy makers beliefs and u s postwar stabilization policy this paper provides an explanation for the run up of u s inflation in the 1960s and 1970s and the sharp disinflation in the early 1980s which standard macroeconomic models have difficulties in addressing i present a model in which rational policymakers learn about the behavior of the economy in real time and set stabilization policy optimally conditional on their current beliefs the steady state associated with the self confirming equilibrium of the model is characterized by low inflation however prolonged episodes of high inflation ending with rapid disinflations can occur when policymakers underestimate both the natural rate of unemployment and the persistence of inflation in the phillips curve i estimate the model using likelihood methods the estimation results show that the model accounts remarkably well for the evolution of policymakers beliefs stabilization policy and the postwar behavior of inflation and unemployment in the united states

should mobile marketers collect data other than geo location we take today s mobile marketing data landscape as a starting point and consider a duopoly model of third degree price discrimination in which firms can complement geo location information with data on consumer flexibility of varying quality we show that depending on consumer heterogeneity higher quality flexibility data affect profits according to three different patterns in equilibrium both firms tend to acquire data if the data are of high quality while only one acquires data if the data quality is low firms are likely to gain from additional data if consumers have similar preferences and or when data are precise although social welfare weakly improves consumers can be harmed

product line rivalry with brand differentiation competition with product rivalry is examined in a model where products are differentiated by both quality and brand name with no commitment firms produce a full product line when firms can commit to restrict their product offerings firms specialize if the degree of brand specific differentiation is small and they produce a full product line if brand specific differentiation is large relative to intrafirm differentiation firms may crowd a product space when all competitors would be better off with specialization brand proliferation is a credible entry deterring strategy if the degree of brand specific differentiation is not too large copyright 1993 by blackwell publishing ltd

aggregation and imperfect competition on the existence of equilibrium we present a new approach to the theory of imperfect competition and apply it to study price competition among differentiated products the central result provides general conditions under which there exists a pure strategy price equilibrium for any number of firms producing any set of products this includes products with multi dimen sional attributes in addition to the proof of existence we provide conditions for uniqueness our analysis covers location models the characteristics approach and probabilistic choice together in a unified framework to prove existence we employ aggregation theorems due to prekopa 1971 and borell 1975 our companion paper caplin and nalebuff 1991 introduces these theorems and develops the application to super majority voting rules we present a new approach to the theory of imperfect competition and apply it to study price competition among differentiated products the central result is that there exists a pure strategy price equilibrium for any number of firms producing any set of products in addition to the proof of existence we provide conditions for uniqueness our model both unites diverse strands of the earlier literature and opens up uncharted areas for future analysis in particular we expand the traditional one dimensional framework to allow for multi dimen sional product differentiation our approach involves twin restrictions on consumer preferences one on individuals preferences the other on the distribution of preferences across society these are generalizations of the restrictions supporting 64 majority rule presented in caplin and nalebuff 1988 to prove existence we apply a new technique of aggregation this technique is valuable in a variety of other problems in the companion paper we use the aggregation result to generalize our earlier work on 64 majority rule and to characterize the relationship between the distribution of human capital and the distribution of income caplin and nalebuff 1991 there are additional applications in statistics and in search theory we begin with a brief review of the early literature on imperfect competition describing in more detail the existence problem and previous solutions section 3 presents our twin assumptions and shows that they cover many standard cases in section 4 we introduce the aggregation theorem and use it in the analysis of demand functions the proof of existence of equilibrium is in section

on the strategic choice of spatial price policy the strategic incentives with respect to the choice of price policy in spatial competition are analyzed in a duopoly model price discrimination emerges as the unique equilibriu m outcome in games with either simultaneous choice of policy and pric e or sequential choice where firms may commit first to uniform mill p ricing before the actual market stage nevertheless profits may be h igher with uniform pricing the authors models are applied to analyz e some common business practices that arise in geographical pricing like the basing point system and in the pricing of varieties or opti ons from a base product in a product differentiation context copyright 1988 by american economic association

multi dimensional price discrimination we examine the profitability and welfare implications of price discrimination in a multi dimensional model first when firms price discriminate on one and the same dimension uniform price lies in between discriminatory prices and price discrimination raises profits relative to uniform pricing this is in contrast to common findings in existing one dimensional models featuring best response asymmetry suggesting that price discrimination can have qualitatively different implications in one and multi dimensional models second price discrimination on one and the same dimension is the likely outcome when price discrimination decisions are endogenized using a two stage discrimination then pricing game correspondingly an observation of one dimensional price discrimination in practice does not necessarily indicate that the underlying model should be one dimensional