airline market power and intertemporal price dispersion this paper analyzes the empirical relationship between market structure and price dispersion in the airline markets connecting the u k and the republic of ireland price dispersion is measured by the gini coefficient calculated using fares posted on the internet at specific days before takeoff we control for passengers heterogeneity in their purpose of travel as well as for such peak periods as christmas and easter our finding of a negative correlation between competition and price dispersion suggests that competition is likely to hinder the airlines ability to price discriminate although this effect appears to be lessened in peak periods

haggling over substitutes abstract using a model of substitutable goods i determine generic conditions on tastes which guarantee that fixed prices are not optimal the fully optimal tariff includes lotteries that is a profit maximising seller would employ a haggling strategy we show that the fully optimal selling strategy in a class of cases requires a seller to not allow themselves to focus on one good but to remain haggling over more than one good this throws new light on the selling strategies used in diverse industries these insights are used to provide a counter example to the no lotteries result of mcafee and mcmillan j econ theory 46 1988 335

durable goods monopolists durable goods monopolists face special problems because the sale of their products creates a secondhand market not controlled by the monopolist to the extent the monopolist is able to rent his product rather than sell it or to make binding promises about his future production such problems are ameliorated given the inability to do the above the monopolist is led to producing goods less durable than those produced by either competitive firms or monopolist returns a reverse averch johnson result that monopolist sellers may invest less in fixed costs including plant modernization and research and development than would the renters is shown it is also shown that even though sellers have less monopoly power than renters and nondurable goods monopolists it is possible that the seller will cause a greater deadweight loss than the other types of monopolies

efficiency analysis for exogenously fixed inputs and outputs we evaluate by means of mathematical programming formulations the relative technical and scale efficiencies of decision making units dmus when some of the inputs or outputs are exogenously fixed and beyond the discretionary control of dmu managers this approach further develops the work on efficiency evaluation and on estimation of efficient production frontiers known as data envelopment analysis dea we also employ the model to provide efficient input and output targets for dmu managers in a way that specifically accounts for the fixed nature of some of the inputs or outputs we illustrate the approach using real data for a network of fast food restaurants

does competition reduce price dispersion new evidence from the airline industry we analyze the effects of competition on price dispersion in the airline industry using panel data from 1993 q1 through 2006 q3 competition has a negative effect on price dispersion in line with the textbook treatment of price discrimination this effect is pronounced for routes with consumers characterized by relatively heterogeneous elasticities of demand on routes with a homogeneous customer base the effects of competition on price dispersion are smaller our results contrast with those of borenstein and rose who found that price dispersion increases with competition we reconcile the different results by showing that the cross sectional estimator suffers from omitted variable bias

some models for estimating technical and scale inefficiencies in data envelopment analysis in management contexts mathematical programming is usually used to evaluate a collection of possible alternative courses of action en route to selecting one which is best in this capacity mathematical programming serves as a planning aid to management data envelopment analysis reverses this role and employs mathematical programming to obtain ex post facto evaluations of the relative efficiency of management accomplishments however they may have been planned or executed mathematical programming is thereby extended for use as a tool for control and evaluation of past accomplishments as well as a tool to aid in planning future activities the ccr ratio form introduced by charnes cooper and rhodes as part of their data envelopment analysis approach comprehends both technical and scale inefficiencies via the optimal value of the ratio form as obtained directly from the data without requiring a priori specification of weights and or explicit delineation of assumed functional forms of relations between inputs and outputs a separation into technical and scale efficiencies is accomplished by the methods developed in this paper without altering the latter conditions for use of dea directly on observational data technical inefficiencies are identified with failures to achieve best possible output levels and or usage of excessive amounts of inputs methods for identifying and correcting the magnitudes of these inefficiencies as supplied in prior work are illustrated in the present paper a new separate variable is introduced which makes it possible to determine whether operations were conducted in regions of increasing constant or decreasing returns to scale in multiple input and multiple output situations the results are discussed and related not only to classical single output economics but also to more modern versions of economics which are identified with contestable market theories

price discrimination in the airline market the effect of market concentration we test the hypothesis that price discrimination increases with competition in the airline market using a large cross section of tickets offered by several carriers on various routes we approximate price discrimination with marginal implicit prices of ticket restrictions that carriers typically use to price discriminate saturday night stayover re quirements and advanced purchase discounts we find that the restrictions are associated with lower airfares but that the discounts are smaller on routes with higher market concentration the results suggest that price dispersion attributed to ticket restrictions increases as markets becomemore competitive

the structure of technical efficiency it is common practice to decompose measures of efficiency into component measures of technical and allocative efficiency in this paper we show how and why to decompose a general measure of technical efficiency into component measures of purely technical efficiency congestion and scale efficiency and we investigate the properties of each measure we do so for a multiple output technology which satisfies a weak axiom system that does not include either constant returns to scale or strong input disposability

estimation of technical efficiency using flexible functional form and panel data this article presents an econometric model capable of accommodating a nonradial measure of input specific technical inefficiency and suggests an estimation technique that reduces dependency on distributional assumptions on inefficiency it also makes use of the demand system derived from a flexible cost function and imposes concavity restrictions as required by economic theory panel data on 12 finnish foundry plants are used to estimate technical efficiency of labor and energy for each of these plants

price discrimination in free entry markets using a spatial model of monopolistic competition we investigate price discrimination in free entry zero profit markets we show that when brands are heterogeneous competition does not prevent discrimination the power to earn economic profits is not necessary for a firm to maintain discriminatory prices our model treats formally the fact that consumers difer not only in the utility they derive from a good but also in how strongly they prefer one brand over all others in markets where firms are very competitive sorting consumers on the strength on brand preference produces larger price differentials between groups than sorting on the basis of consumers reservation prices for the good when firms sort customers on the basis of strength of brand preference however we find that the output and welfare effects are generally less favorable than when sorting is more closely related to consumers reservation prices

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

estimation of technical inefficiency in panel data models with firm and time specific effects abstract this paper uses a panel data model and develops methods to estimate production function parameters and technical inefficiency the model distinguishes technical inefficiency from firm and time specific effects determinants of technical inefficiency is introduced by allowing its mean to be a function of exogenous variables both random and fixed effects treatment of firm and time specific effects are considered in estimation

the dominance of inefficiencies over scale and product mix economies in banking abstract this study measures and analyzes inefficiencies for all u s banks in 1984 inefficiencies are measured relative to a thick frontier cost function and are found to dominate measured scale and product mix economies most inefficiencies are operational in nature involving the overuse of physical inputs rather than financial involving overpayment of interest also technical inefficiencies proportionate overuse of all inputs dominate allocative inefficiencies improper mix of inputs these results suggest that competitive pressures in banking from deregulation will be focused primarily on banks that do not control costs rather than on those of a particular size or product mix

stochastic estimation of firm inefficiency using distance functions econometric estimation of allocative and technical efficiency has frequently been carried out using a shadow cost function and its associated share or demand equations since the problem is formulated in terms of shadow prices the effect of allocative inefficiency on input usage must be computed indirectly from input share or demand equations as an alternative approach we derive and estimate an input shadow distance system comprising the dual shadow input distance function and the price equations derived from the shadow cost minimization problem estimated shadow quantities provide direct estimates of the effect of allocative inefficiency on input usage one can also easily calculate firm and time varying technical inefficiency by decomposing the residuals we also compute returns to scale and the cost savings obtained by eliminating both types of inefficiency our approach is illustrated using a panel of u s railroads both the cost function and the distance function are valid representations of multioutput technologies the arguments of the cost function are output quantities and input prices while the arguments of the distance function are input and output quantities the input distance function measures the extent to which the firm is input efficient in producing a given set of outputs while the cost function assumes cost minimization by a firm which is input efficient the shadow cost function is a generalization of the cost function and depends on output quantities and shadow internal to the firm input prices rather than actual market input prices thus the shadow cost function assumes shadow cost minimization but not actual cost minimization this function has frequently been employed in fixed effects estimation of allocative efficiency ae and technical efficiency te an observed input vector is technically efficient if it is on the isoquant of the observed output vector an input vector is allocatively efficient if the radial contraction of the input vector to the isoquant is cost minimizing identification of parameters that measure ae can be achieved by the estimation of a shadow cost system comprising the actual cost equation and the share or input demand equations which are expressed in terms of shadow prices and output quantities shadow cost systems have been estimated by atkinson and halvorsen 1984 sickles good and johnson 1986 eakin and kniesner 1988 kumbhakar 1992 and atkinson and cornwell 1994 among others given panel data the deviation of shadow from actual input prices can be measured by price specific inefficiency parameters that may vary across firms and over time however the estimation of the effect of

frontier production functions and technical efficiency measures the concept of technical efficiency is central to measuring the firm performance the measurement of technical efficiency has proved difficult and complex and the literature provides a range of methodologies this paper reviews the various methodologies for measuring technical efficiency and offers a comparison between established methods of measurements the discussion is literary with less mathematical jargons and equations the objective of this paper is not to be exhaustive but to be up to date and to provide a significant discussion on some of the core methods of measuring technical efficiency

farm household efficiency in bangladesh a comparison of stochastic frontier and dea methods this study compares estimates of technical efficiency obtained from the stochastic frontier approach and the data envelopment analysis dea approach using farm level survey data for rice farmers in bangladesh technical inefficiency effects are modelled as a function of farm specific socioeconomic factors environmental factors and irrigation infrastructure the results from both the approaches indicate that efficiency is significantly influenced by the factors measuring environmental degradation and irrigation infrastructure

trends in relationship lending and factors affecting relationship lending efficiency abstract this paper investigates the efficiency of relationship managers at the canadian imperial bank of commerce cibc one of canada s largest banks data envelopment analysis dea efficiency scores are analyzed using regression the results demonstrate that managers are less efficient when facing larger numbers of loans or smaller loans m berlin and l j mester on the profitability and cost of relationship lending working paper no 97 43 the wharton school university of pennsylvania 1997 show that credit smoothing is generally suboptimal a more complete explanation is obtained by taking a micro level focus other results indicate that banks may improve profitability by reserving relationship lending for loans of larger size tests of relationships between efficiency and nonperforming loans and of the skimping hypothesis are conducted

competition in the presence of individual demand uncertainty this article offers a tractable model of oligopolistic competition in differentiated product markets characterized by individual demand uncertainty the main result shows that in equilibrium firms offer advance purchase discounts and that these discounts are larger than in the monopolistic benchmark competition reduces welfare by increasing the fraction of consumers who purchase in advance that is without full knowledge of their preferences

parametric estimation of technical and allocative inefficiency with panel data the error components approach to estimating allocative inefficiency imposes restrictive assumptions on the distributions of the errors and functional form the parametric approach does not require special assumptions about the error distribution or technology but typically assumes technical efficiency or restrictive functional forms the parametric approach also allows for systematic firm responses to shadow prices the authors generalize the parametric approach to a panel data setting and show that input and firm specific allocative inefficiency as well as firm specific technical inefficiency can be identified and estimated using a flexible functional form this is demonstrated empirically with an application to u s airlines copyright 1994 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

multiple comparisons with the best with economic applications in this paper we discuss a statistical method called multiple comparisons with the best or mcb this paper is meant to introduce mcb to economists we discuss possible uses of mcb in economics the application that we treat in most detail is the construction of confidence intervals for inefficiency measures from stochastic frontier models with panel data we also consider an application to the analysis of labour market wage gaps copyright 2000 john wiley sons ltd

nonlinear pricing with random participation the canonical selection contracting programme takes the agent s participation decision as deterministic and finds the optimal contract typically satisfying this constraint for the worst type upon weakening this assumption of known reservation values by introducing independent randomness into the agents outside options we find that some of the received wisdom from mechanism design and nonlinear pricing is not robust and the richer model which allows for stochastic participation affords a more general empirical specification we develop a multidimensional methodology for addressing this class of problems providing two important applications to nonlinear pricing first with nonlinear pricing by a monopolist the familiar nodistortion at the top result persists but in tandem with the surprising conclusion that there is either no distortion at the bottom or bunching second in a simple model of product differentiated duopolists competing with nonlinear pricing we show that generally the duopoly outcome is qualitatively similar to the monopoly outcome however when marginal costs are symmetric and competition is sufficiently intense distortions disappear and the equilibrium outcome takes a remarkably simple form efficient quality allocations with cost plus fee pricing

estimation of output and input technical efficiency using a flexible functional form and panel data the farrell 1957 concept of technical efficiency can be measured in two ways denoted output and input technical efficiency the empirical literature does not distinguish between the two measures and confusion exists regarding the required restrictions on technology for the specification of either measure with panel data the authors show how both types of efficiency when treated as fixed effects are to be specified in the context of a translog cost system technical efficiency enters the share equations only in the output case when homotheticity is not imposed the authors estimate their cost systems using panel data on u s airlines copyright 1994 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

supplying information to facilitate price discrimination the authors examine the incentive of a seller to allow potential buyers to acquire private information about their tastes for the seller s product improved private information for buyers enables the seller to segment the market and charge higher prices to high value buyers however improved information can also provide rents to buyers in a variety of settings this tradeoff is optimally resolved at one of two extremes either buyers are supplied with the best available knowledge of their tastes or no information is supplied by the seller copyright 1994 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

data transformations in dea cone ratio envelopment approaches for monitoring bank performances abstract cone ratio dea data envelopment analysis models are suggested for monitoring and or early warning systems to be used by bank regulatory agencies illustrative examples are developed from data on 1984 and 1985 performances of the 16 largest banks in texas five large non texas banks are introduced as excellent performers to help evaluate these texas banks in terms of their risk coverage as well as efficiency cone ratio envelopment areused to tarnsform original data in order to reflect performances by the non texas banks with respect to risk coverage as well as efficiency formulas for transforming to and from the original data are supplied with accompanying explanations and interpretations which include comparisons with the risk adjusted capital and risk coverage allowances formulas that have been adopted recently by u s government and other regulators in banking and insurance in conformance with the basel agreement of 1988

recent progress in applied bayesian econometrics abstract bayesian methods are widely used by theoretical econometricians and statisticians but have not won widespread acceptance from applied researchers after briefly describing the basic of the bayesian approach we discuss several issues relating to the empirical application of bayesian methods the existing bayesian empirical literature is also partially summarized the remainder of the paper offers a non technical survey of some recent computational advances in bayesian econometrics the overall goal is to persuade economists that bayesian methods are both computationally feasible and easy to implement in empirical research

price discrimination in oligopoly evidence from regional newspapers recent theoretical work has shown that the incentive to target rival firms customers with low prices can increase price discrimination and that the strength of the incentive depends on a firm s market position using data on swedish newspaper subscriptions we find strong support for these predictions newspapers with a local competitor sell a larger part of their circulation at a discount than monopoly newspapers moreover in competitive markets the use of discounts is inversely related to the newspaper s market share we find no evidence that price discrimination based on observable and exogenous characteristics is influenced by the market structure

nonparametric analysis of technical and allocative efficiencies in production in this paper we extend varian s 1984 nonparametric production analysis to situations when the set of observed output input and price data is not consistent with profit maximization for at least one firm in such cases varian s results imply that no production possibility set containing all observations can rationalize the observed data we identify each firm whose performance given the prices faced by it may be found consistent with profit maximization relative to some production possibility set containing all observed output input vectors we show that the set 4 of all such firms can itself be weaklv rationalized in the sense that there exists a closed convex and monotone production possibility set that contains all the observations and relative to which the performance of all the firms in the set 8o is consistent with profit maximization given their respective prices by definition firms not included in this largest set d of efficient observations unambiguously deviate from profit maximizing behavior for any production possibility set containing all observations we follow farrell 1957 and analyze these deviations into technical and allocative efficiency measures considering as admissible all closed convex and monotone production possibility sets relative to which the performance of each firm in the set g remains consistent with profit maximization we then describe nonparametric methods for determining the tightest upper and lower bounds on the technical allocative and aggregate efficiency measures evaluated relative to all such admissible production possibility sets it is seen that the tightest upper bound on the technical efficiency measure is the same as the value computed by the nonparametric efficiency evaluation technique known as data envelopment analysis thus establishing a link between this literature in management science operations research and the nonparametric production analysis in economics

econometric estimation of technical and environmental efficiency an application to dutch dairy farms in this article we estimate the technical and environmental efficiency of a panel of dutch dairy farms nitrogen surplus arising from the application of excessive amounts of manure and chemical fertilizer is treated as an environmentally detrimental input a stochastic translog production frontier is specified to estimate the output oriented technical efficiency environmental efficiency is estimated as the input oriented technical efficiency of a single input the nitrogen surplus of each farm the mean output oriented technical efficiency is rather high 0 894 but the mean input oriented environmental efficiency is only 0 441 intensive dairy farms are both technically and environmentally more efficient than extensive farms

measuring productivity growth under factor non substitution an application to us steam electric power generation utilities a theoretical framework is developed for decomposing partial factor productivity and measuring technical inefficiency when the underlying technology is characterized by factor non substitution with farrell s 1957 radial index of technical inefficiency being inappropriate in this case russell non radial indices are adapted to measure technical inefficiency in a leontief type model a system of factor demand equations with a regime specific technical inefficiency term is proposed and estimated allowing for dependence across inputs using a copula approach then the paper presents a complete decomposition of partial factor productivity changes using a dataset of us steam power electric generation utilities

testing for deliberate underpricing in the ipo premarket a stochastic frontier approach we re evaluate the ipo underpricing phenomenon using the stochastic frontier methodology the advantage of the stochastic frontier is that it can be used to measure the level of deliberate underpricing in the premarket without using after market information this is accomplished through the estimation of a systematic one sided error term that measures inefficiency or the difference between the maximum predicted offer price and the actual offer price data for the analysis are comprised of 1 035 ipos of common stock issued by firm commitment between 1975 and 1984 ipos appear to be deliberately underpriced in the premarket in both hot market and nonhot market periods moreover the determinants of the maximum ipo price have different effects in the two time periods article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

piecewise loglinear estimation of efficient production surfaces linear programming formulations for piecewise loglinear estimation of efficient production surfaces are derived from a set of basic properties postulated for the underlying production possibility sets unlike the piecewise linear model of banker charnes and cooper banker r d a charnes w w cooper 1984 models for the estimation of technical and scale inefficiencies in data envelopment analysis management sci 30 september 1078 1092 this approach permits the identification of increasing marginal products and estimation of the classical s shaped production functions methods are also provided for estimating technical inefficiencies and other production characteristics such as rates of substitution and transformation marginal products returns to scale and most productive scale sizes on the basis of observed production data the results of a simulation study are reported to illustrate the usefulness of this estimation method in empirical applications when there are a priori reasons to expect increasing marginal products in some regions of the production function a modified model is provided to extend this analysis to the situation of non competing outputs addressed by the bi extremal model of banker charnes cooper and schinnar banker r d a charnes w w cooper a schinnar 1981 a bi extremal principle for frontier estimation and efficiency evaluation management sci 27 december 1370 1382

advance purchase discounts and monopoly allocation of capacity optimal pricing by a monopoly airline that faces capacity constraints during the peak demand period is studied the existence of capacity constraints means that in order to expand output the airline must divert demand from the peak period to the off peak period a particular advance purchase discount policy is shown to be the profit maximizing method of selling tickets if the advance purchase requirement were infeasible output and total surplus would both be lower jel l12 substantial discounts for air travel are generally available to travelers who are willing to purchase tickets a week or more in advance of the departure date this paper demonstrates why the imposition of an advance purchase requirement may be a profit maximizing strategy for a monopoly airline facing capacity constraints during times of peak demand 1 the practice of imposing an advance purchase requirement on discount tickets is also placed in a favorable light in terms of its impact on social

the effect of risk based capital requirements on profit efficiency in banking the purpose of this paper is twofold to show how to measure profit efficiency in banking using a newly developed technique and to use that technique to determine the effect of risk based capital requirements on the profit performance of us banks the measure of profit efficiency used captures deviations from profit maximization arising from technical inefficiency caused by a lack of managerial oversight and allocative inefficiency which is caused by managers choosing a nonoptimal mix of inputs and outputs a leverage ratio constraint and a risk weighted capital ratio constraint are explicitly included in the model which allows identification of the effect on profits of those constraints the techniques are applied to random samples of us banks for 1990 1992 and 1994 the results indicate that allocative inefficiency is a larger source of profit loss than technical inefficiency and that the risk based capital standards have a significant effect on bank allocative efficiency

equilibrium price dispersion under demand uncertainty the roles of costly capacity and market structure when capacity is costly and prices are set in advance firms facing uncertain demand will sell output at multiple prices and limit the quantity available at each price i show that the optimal price strategy of a monopolist and the unique pure strategy nash equilibria of oligopolists both exhibit intrafirm price dispersion moreover as the market becomes more competitive prices become more dispersed a pattern documented in the airline industry while generating similar predictions the model differs from the revenue management literature because it disregards market segmentation and fare restrictions that screen customers

economic efficiency and frontier techniques abstract most of the literature related to the measurement of economic efficiency has based its analysis either on parametric or on non parametric frontier methods the choice of estimation method has been an issue of debate with some researchers preferring the parametric and others the non parametric approach the aim of this paper is to provide a critical and detailed review of both core frontier methods in our opinion no approach is strictly preferable to any other moreover a careful consideration of their main advantages and disadvantages of the data set utilized and of the intrinsic characteristics of the framework under analysis will help us in the correct implementation of these techniques recent developments in frontier techniques and economic efficiency measurement such as bayesian techniques bootstrapping duality theory and the analysis of sampling asymptotic properties are also considered in this paper

a dynamic efficiency model using data envelopment analysis abstract changes in productivity due to technological progress or regress are incorporated in models of data envelopment analysis dea in two ways either through a network technology or in terms of a capacity variable or capital input embodying technical progress the second way is analyzed here in terms of time varying capital inputs due to the changes in input prices over time this provides an optimal control theoretic view of the time path of capital inputs which minimizes a discounted sum of total input costs for each dmu the cost of risk aversion and the adjustment cost of input price fluctuations may then be minimized in an extended dea model framework these extensions of the dea model are analyzed here and illustrated by an empirical application to international airlines data

the measurement of productive efficiency a reconsideration the purpose of this paper is to generalize the farrell indexes of productive efficiency to nonhomothetic production technologies and at the same time maintain the cost interpretation of the farrell measures since the generalized indexes rely heavily on recent developments in the estimation of frontier cost and production functions several frontier models are reviewed in addition to generalized indexes of technical allocative and overall productive efficiency a variety of single factor efficiency measures are discussed the applicability of the proposed efficiency measures is illustrated with a numerical example of electric power generation

semi radial technical efficiency measurement semi radial efficiency measurement combines technical efficiency as captured by the classical farrell measure with an economically meaningful mix efficiency component the semi radial evaluation we propose proceeds in two steps first we build on the price interpretation of the generally accepted koopmans efficiency notion to characterize appropriate benchmarks next we present both a quantity based distance measure and its dual price based equivalent to evaluate the mix efficiency factor the type of measures we propose may e g be used to provide a price rationale for the zieschang technical efficiency evaluation procedure

product mixes as objects of choice in non parametric efficiency measurement abstract non radial measures of technical efficiency essentially differ from their radial counterparts in that the product mix of the efficient reference is allowed to be different from the product mix of the evaluated observation whereas existing non radial measures are still based on the product mix of the evaluated i e possibly inefficient observation we change the perspective and propose a measure based on the mix properties of the efficient reference the resulting inverse measure can be considered as complementary to the fare lovell or russell efficiency measure

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

hubs and high fares dominance and market power in the u s airline industry this article estimates the importance of route and airport dominance in determining the degree of market power exercised by an airline the results indicate that an airline s share of passengers on a route and at the endpoint airports significantly influences its ability to mark up price above cost the high markups of a dominant airline however do not create much of an umbrella effect from which carriers with smaller operations in the same markets can benefit the article suggests a number of possible explanations for this asymmetry

a comparative application of data envelopment analysis and translog methods an illustrative study of hospital production this paper compares inferences about hospital cost and production correspondences from two different estimation models 1 the econometric modeling of the translog cost function and 2 the application of data envelopment analysis dea while there are numerous examples of the application of each approach to empirical data this paper provides insights into the relative strengths of the estimation methods by applying both models to the same data the translog results suggest that constant reruns are operant whereas the dea results suggest that both increasing and decreasing returns to scale may be observed in different segments of the production correspondence in turn suggesting that the translog model may be averaging diametrically opposite behavior on the other hand by examining the rate of output transformation both models agree that patient days devoted to care of children are more resource intensive than those devoted to adults or to the elderly in addition we compare estimates of technical efficiencies of individual hospitals obtained from the two methods the dea estimates are found to be highly related to the capacity utilization but no such relationship was found for the translog estimates this comparative application of different estimation models to the same data to obtain inferences about the nature of underlying cost and production correspondences sheds interesting light on the strengths of each approach and suggests the need for additional research comparing estimation models using real as well as simulated data

technical efficiency of european railways a distance function approach this study has two principal objectives the first objective is to measure and compare the performance of european railways the second objective is to illustrate the usefulness of econometric distance functions in the analysis of production in multioutput industries where behavioural assumptions such as cost minimization or profit maximization are unlikely to be applicable using annual data on 17 railways companies during 1988 1993 multioutput distance functions are estimated using corrected ordinary least squares cols the resulting technical efficiency estimates range from 0 980 for the netherlands to 0 784 for italy with a mean of 0 863 the distance function results are also compared with those obtained from single output production functions where aggregate output measures are formed using either total revenue or a tornqvist index the results obtained indicate substantial differences in parameter estimates and technical efficiency rankings casting significant doubt upon the reliability of

advance purchase discounts as a price discrimination device in an intertemporal setting in which individual uncertainty is resolved over time advance purchase discounts can serve to price discriminate between consumers with different expected valuations for the product consumers with a high expected valuation purchase the product before learning their actual valuation at the offered advance purchase discount consumers with a low expected valuation will wait and purchase the good at the regular price only in the event where their realized valuation is high we characterize the profitmaximizing pricing strategy of the monopolist furthermore adopting a mechanism design perspective we provide a necessary and sufficient condition under which advance purchase discounts implement the monopolist s optimal mechanism

the measurement and sources of technical inefficiency in the indonesian weaving industry production function models are estimated with a time series of cross section data on indonesian weaving establishments the sources of technical inefficiency are investigated three firm attributes are identified as being potentially related to firm efhciency tbey are firm ownership age and size the importance of these attributes as sources of inefficiency in the indonesian weaving industry is investigated and the implications of the find ings discussed

productivity growth technical progress and efficiency change in industrialized countries this paper analyzes productivity growth in 17 oecd countries over the period 1979 1988 a nonparametric programming method activity analysis is used to compute malmquist productivity indexes these are decomposed into two component measures namely technical change and efficiency change we find that u s productivity growth is slightly higher than average all of which is due to technical change japan s productivity growth is the highest in the sample with almost half due to efficiency change jel c43 d24 in this paper we apply recently developed

measures of technical efficiency abstract fare and lovell j econom theory 19 1978 150 162 suggest four properties that a measure of technical efficiency should satisfy the commonly employed debreu farrell measure fails three of them necessary and sufficient conditions for a measure to satisfy the four conditions are provided and recently proposed measures are analyzed in the light of this result also it is argued that the debreu farrell measure has several desirable properties when one takes account of 1 perhaps unknown market prices and the relationship between technical and economic efficiency and 2 its characterization as a measure of economic efficiency using the shadow prices implicit in the production technology

bayesian efficiency analysis with a flexible form the aim cost function in this article we describe the use of gibbs sampling methods for drawing posterior inferences in a cost frontier model with an asymptotically ideal price aggregator nonconstant returns to scale and composed error an empirical example illustrates the sensitivity of efficiency measures to assumptions made about the functional form of the frontier we also examine the consequences of imposing regularity through parametric restrictions alone

on hotelling s competition with non uniform customer distributions abstract hotelling s competition in a two stage location price game is examined with increasing densities of consumers towards the centre it is shown that there is a range of rather even distributions for which firms locate at opposite ends of the market as the distribution becomes more concentrated duopolists will tend to move inside the market

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