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

position auctions with consumer search this paper examines a model in which advertisers bid for sponsored link positions on a search engine the value advertisers derive from each position is endogenized as coming from sales to a population of consumers who make rational inferences about rm qualities and search optimally consumer search strategies equilibrium bidding and the welfare benets of position auctions are analyzed implications for reserve prices and a number of other auction design questions are discussed

theory and evidence on pricing by asymmetric oligopolies we present an analysis of markets with many asymmetrically positioned retailers that compete for the business of both informed and uninformed customers for a homogenous good such as software music book or a brand name appliance we show that two forms of asymmetry one related to loyal segment sizes of retailers and one related to the positioning of firms completely explain the observed price dispersion in such markets and the multitude of asymmetrical strategies adopted by retailers the stochastic dominance of empirical mixed strategy measures is used to test the theory with data on 968 books from 10 online retailers

joint stochastic dynamic pricing and advertising with time dependent demand abstract this paper examines the sale of a finite number of items in a class of stochastic dynamic pricing and advertising models with time dependent demand elasticities we prove structural properties of the optimal expected profits with respect to time inventory level price impact advertising impact and different model parameters such as discount rate marginal unit costs and holding costs we find that the value of an additional item opportunity costs is decreasing in the unit costs the discount rate the holding cost rate and the number of items left to sell we also derive structural properties of optimal joint pricing and advertising strategies this way we obtain general qualitative insights in the complex interplay and the mutual dependence of optimal pricing and advertising decisions among other properties we show that a higher advertising impact leads to higher optimal prices and lower advertising rates which in turn implies a lower speed of sale the results obtained help practitioners to respond to changes in market conditions by adjusting price and advertising accordingly our results allow speeding up numerical computations of decisions as the set of possible actions can be reduced significantly our analysis implies general results for pure pricing as well as pure advertising models with time dependent demand elasticities

product diversity in asymmetric oligopoly is the quality of consumer goods too low we analyse an oligopoly model incorporating horizontal differentiation and quality differences high quality goods are overpriced and underproduced when the market is fairly well covered low quality products may be profitable when their net social contribution is negative implying excessive entry in a relatively uncovered market even low quality goods are underproduced and there may be underentry when fixed costs are independent of quality the market tends to select the right firms otherwise the market may produce low quality products when it should produce high quality ones the model is calibrated using market data for yoghurt

informative advertising with differentiated products in this paper we study the role of promotional expenditures by sellers in a model of product differentiation advertising conveys full and accurate information about the characteristics of products heterogeneous consumers who have no source of information other than advertisements seek to purchase the products that best fit their needs despite the roles played by advertising in improving the matching of products and consumers and in increasing the elasticity of demand faced by each firm we find that the market determined levels of advertising are excessive given the extent of diversity in the market we derive a promotional equilibrium based on a specific information transmission technology paying explicit attention to the structure of consumer information and its impact on firms demand curves this allows us to study the effects of changes in the advertising technology including an increased ability to target messages to specific groups of consumers on the equilibrium in the product market we find that decreased advertising costs may reduce profits by increasing the severity of price competition

the existence of equilibrium in discontinuous economic games ii applications in part i of this study we established two existence theorems for mixed strategy equilibrium in games with discontinuous payoff functions see theorems 4 4 and 5 5 in dasgupta and maskin 1986 hereafter d m 1986 in this second part we use the second of these two theorems to prove the existence of mixed strategy equilibrium in some wellknown discontinuous economic games that fail to have pure strategy equilibria the models we analyse are the bertrand edgeworth example of price setting duopolists with capacity constraints see section 2 2 price competition among firms producing differentiated products hotelling 1929 and d aspremont gabszewicz and thisse 1979 see section 2 3 spatial competition eaton and lipsey 1975 and shaked 1975 see section 3 and models of market dependent information rothschild and stiglitz 1976 and wilson 1977 section 4 the paper concludes section 5 with a classification of these models

a bertrand model of pricing and entry abstract we analyze an oligopolistic pricing and entry model in which there is a sunk cost of entry and in which firms outputs are homogeneous firms pure strategies consist of a binary entry decision and conditional on entry a uniform or non linear price schedule there does not exist a pure strategy nash equilibrium in this model so we analyze the symmetric mixed strategy equilibrium the main result is that if there exists a positive sunk cost of entry then an increase in the number of potential competitors puts more probability weight on higher prices this result is counter to the usual intuition that underlies current antitrust policy

stochastic dynamic pricing and advertising in isoelastic oligopoly models abstract in this paper we analyze stochastic dynamic pricing and advertising differential games in special oligopoly markets with constant price and advertising elasticity we consider the sale of perishable as well as durable goods and include adoption effects in the demand based on a unique stochastic feedback nash equilibrium we derive closed form solution formulas of the value functions and the optimal feedback policies of all competing firms efficient simulation techniques are used to evaluate optimally controlled sales processes over time this way the evolution of optimal controls as well as the firms profit distributions are analyzed moreover we are able to compare feedback solutions of the stochastic model with its deterministic counterpart we show that the market power of the competing firms is exactly the same as in the deterministic version of the model further we discover two fundamental effects that determine the relation between both models first the volatility in demand results in a decline of expected profits compared to the deterministic model second we find that saturation effects in demand have an opposite character we show that the second effect can be strong enough to either exactly balance or even overcompensate the first one as a result we are able to identify cases in which feedback solutions of the deterministic model provide useful approximations of solutions of the stochastic model

it takes two to tango equilibria in a model of sales we show that the varian model of sales with more than two firms has two types of equilibria a unique symmetric equilibrium and a continuum of asymmetric equilibria in contrast the 2 firm game has a unique equilibrium that is symmetric for the n firm case the asymmetric equilibria imply mixed strategies that can be ranked by first order stochastic dominance this enables one to rule out asymmetric equilibria on economic grounds by constructing a metagame in which both firms and consumers are players the unique subgame perfect equilibrium of this metagame is symmetric

capital mobility in the world economy an alternative test abstract this paper proposes a new measure and test of international capital mobility in order to investigate capital flows we utilize a small open economy version of campbell and mankiw s nber macroeconomic annual 1989 185 216 permanent income model our capital mobility measure focuses on the correlation between the country s consumption and net output instead of the correlation between domestic saving and domestic investment proposed by feldstein and horioka economic journal 90 1980 314 329 the model is estimated for 11 oecd countries the results suggest that the null hypothesis of perfect capital mobility cannot be rejected for more than a half of these countries on the other hand some kind of capital mobility constraints are detected for several countries including the united states and japan

advertising for consideration abstract we analyze markets where firms competing on price advertise to increase the probability of entering consumers consideration sets we find that moderately costly advertising allows firms to raise prices and possibly profits by reducing the fraction of price conscious consumers and by segmenting the market according to whether or not consumers consider the lower priced firm however when the cost of advertising is sufficiently low advertising leads to a prisoners dilemma that adversely impacts profits without affecting expected prices

oligopolistic pricing with sequential consumer search n identical stores compete by choosing prices for a homogeneous good with constant marginal costs consumers search sequentially with perfect recall for the lowest price one class of consumers called shoppers have zero search costs while all other consumers have a positive search cost c there is a unique symmetric nash equilibrium price distribution with the property that it changes smoothly from marginal cost pricing when all consumers are shoppers and or c 0 and monopoly pricing when no consumers are shoppers remarkably as the number of stores increases the nash equilibrium becomes more monopolistic copyright 1989 by american economic association

personalized pricing and advertising an asymmetric equilibrium analysis we study personalized price competition with costly advertising among n quality cost differentiated firms strategies involve mixing over both prices and whether to advertise in equilibrium only the top two firms advertise earning bertrand like profits welfare losses initially rise then fall with the ad cost with losses due to excessive advertising and sales by the wrong firm when firms are symmetric the symmetric equilibrium yields perverse comparative statics and is unstable our key results apply when demand is elastic when ad costs are heterogeneous and with noise in consumer tastes

biofuel related price transmission using renewable identification number prices to signal mandate regime this paper improves on existing methods of testing price links between biofuels petroleum petroleum products and agricultural commodity feedstocks by incorporating information contained in the prices of renewable identification numbers rins that are used for biofuel mandate compliance theoretical equations are developed to show the role rin prices can play in the relationships among energy biofuel and agricultural commodity prices rin price data are used a to infer values of fuels where market data are unavailable and b to define binding and non binding mandate regimes a specific empirical exercise exploits the rin price data to conduct cointegration tests on high frequency data representing spot and futures prices relating to ethanol and biodiesel from february 2009 through march 2015 finding little evidence of short term biofuel and petroleum product substitution during this period

competitive promotional strategies this article analyzes the equilibrium pricing strategies of brands engaged in a pricing game each brand has a monopoly market loyal consumers and competes with others in a common market called brand switchers in the case of a duopoly it is shown that the behavior of the brand switchers characterizes the equilibrium behavior of the duopolists this article focuses on two key comparative statics namely the depth of discounts away from a regular high price and the probability of giving a deal or the frequency of deals how these properties vary with the size of the loyal markets and the behavior of the brand switching population is discussed copyright 1988 by the university of chicago

strategic pricing consumer search and the number of firms discover prices there are three distinct price dispersed equilibria characterized by low moderate and high search intensity the effects of an increase in the number of firms on search behaviour expected prices price dispersion and welfare are sensitive i to the equilibrium consumers search intensity and ii to the status quo number of firms for instance when consumers search with low intensity an increase in the number of firms reduces search does not affect expected price leads to greater price dispersion and reduces welfare in contrast when consumers search with high intensity increased competition results in more search and lower prices when the number of competitors in the market is low to begin with but in less search and higher prices when the number of competitors is large duopoly yields identical expected price and price dispersion but higher welfare than an infinite number of firms a question that has received much attention in economic theory is how the number of competitors and market outcomes are related despite the existence of work showing the contrary see e g satterthwaite 1979 rosenthal 1980 the prediction that emerges from a market where firms interact in a cournot fashion has come to dominate economic thought namely that an increase in the number of competitors leads to larger aggregate production lower market price and improved market performance measured in terms of some social welfare criterion ruffin 1971 this paper challenges the generality of this belief by presenting an oligopoly model with consumer search where the equilibrium expected price may be constant increasing or nonmonotonic in the number of firms we present an economy with two types of consumers consumers who search for prices at no cost fully informed and consumers who must pay a fixed search cost for each price quotation they observe less informed 1 all buyers have the same willingness to pay for the good and buy either a single unit or nothing at all on the supply side of the market there are n firms producing a homogeneous good at constant marginal cost we analyse a one shot simultaneous move game firms set prices and consumers decide how many prices to search for at the same moment in time our model is essentially an oligopolistic version of burdett and judd 1983 where some consumers search costlessly in this model consumers search using a fixed sample size search strategy i e they choose the number of prices to observe before receiving any offer nonsequential search is appealing when consumers find it more advantageous to gather price information quickly morgan and manning 1985 this occurs when the search outcome is observed with delay and delay is costly for instance an mba graduate looking for a job 1 the presence in the model of consumers who search costlessly captures the fact that some people have a

informative price advertising in a sequential search model the purpose of this paper is to study the role and implications of price advertising when shopping trips are costly to consumers to do so we introduce advertising into an optimal sequential search model information about prices is both gathered by consumers and disseminated by firms consumers search sequentially and stores advertise with various intensity when it is in their interest to do so our model has a unique equilibrium exhibiting priee dispersion the model generates predictions about the shape of the price distribution and firms advertising behavior we explore the effects of entry and find that when initial advertising costs at zero level of effort are precisely zero entry drives the equilibrium to the perfectly competitive outcome however when initial marginal advertising costs are positive entry drives prices higher and while the informed consumers almost surely locate competitive prices welfare does not necessarily increase finally we compare the effectiveness of the two informational channels when advertising costs shrink prices become competitive however when search costs shrink prices remain bounded above marginal production costs

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

truly costly sequential search and oligopolistic pricing we modify the paper of stahl 1989 stahl d o 1989 oligopolistic pricing with sequential consumer search american economic review 79 700 12 by relaxing the assumption that consumers obtain the first price quotation for free when all price quotations are costly to obtain the unique symmetric equilibrium need not involve full consumer participation the region of parameters for which non shoppers do not fully participate in the market becomes larger as the number of shoppers decreases and or the number of firms increases the comparative statics properties of this new type of equilibrium are interesting in particular expected price increases as search cost decreases and is constant in the number of shoppers and in the number of firms welfare falls as firms enter the market we show that monopoly pricing never obtains with truly costly search d 2005 elsevier b v all rights reserved

price competition and advertising in oligopoly abstract this paper studies price advertising in an oligopoly market where consumers have only local price information sellers may attract consumers from other locations by advertising their price with positive probability they advertise a low price to attract customers from distant locations with the remaining probability they post a high price and serve only local customers the random advertising equilibrium approaches the equilibrium under perfect price information when the cost of advertising becomes small

oligopolistic pricing and advertising abstract n sellers advertise a homogeneous good to m buyers whose only source of information is this advertising there is a unique nash equilibrium ne in which sellers choose a common advertising level and mix over prices this ne approaches marginal cost pricing as advertising costs decrease and approaches monopoly pricing as advertising costs increase more sellers induce lower prices and less advertising per seller however the social welfare effect can be negative for some advertising technologies the ne advertising level is generically less than socially optimal journal of economic literature classification numbers d00 d4 d43 d8 d83 i00 i1 i13 m37

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

information gatekeepers on the internet and the competitiveness of homogeneous product markets we examine the equilibrium interaction between a market for price information controlled by a gatekeeper and the homogenous product market it serves the gatekeeper charges fees to firms that advertise prices on its internet site and to consumers who access the list of advertised prices gatekeeper profits are maximized in an equilibrium where a the product market exhibits price dispersion b access fees are sufficiently low that all consumers subscribe c advertising fees exceed socially optimal levels thus inducing partial firm participation and d advertised prices are below unadvertised prices introducing the market for information has ambiguous social welfare effects

competition of firms discriminatory pricing and location1 two costlessly mobile firms are to be located in a market region a subset of the plane the firms compete by setting locations and delivered price schedules to study this competitive stiuation an appropriate extensive form game is defined along with an appropri ate noncooperative solution concept existence and general properties of the equilibrium are demonstrated among the results are each firm increases its profit by locating so as to decrease total cost to both firms of serving the market firms will never locate coinciden tally if they have identical production costs and transport cost rates or if these are different and the firms are located in a circular market region having a uniform demand distribution this paper studies competition between two profit maximizing firms in space who are costlessly mobile and may discriminate in price we will allow the firms to set locations and delivered price schedules and we will be concerned with the existence and properties of equilibria in location and price starting with hotelling 9 the spatial competition literature has focused on location on bounded linear markets by two or more firms hotelling assumed identical firms that produced a single good with constant cost of production and considered consumers to be uniformly distributed and to have inelastic demand he also assumed that the consumers pay transport cost and purchase the good from the cheapest source hotelling claimed that a nash equilibrium in locations for the two firm market existed and yielded back to back locations at the center of the market many authors most recently d aspremont gabszewicz and thisse 2 have noted that an equilbrium in prices and location does not exist for hotelling s model however if the firms employ identical exogeneously specified prices hotelling s conclusions hold subsequent work by smithies 14 hartwick and hartwick 7 and eaton 3 claimed to show that a nash equi librium in f o b prices and locations can exist in markets with a uniform distribu tion of consumers each of whom have identical elastic demand functions for the two and three firm problems the work of d aspremont et al casts doubt on these conclusions without the adoption of restrictive conditions our work contrasts with these works and related research which has dealt with linear markets with uniform distributions of customers and with identical firms our work will involve markets that are subsets of the plane having nonuniform distributions of customers our firms will be allowed to be different that is have differences in production and transport costs however the fundamental difference in our approach is that our firms will set discriminatory prices and not price f o b in many ways our work will represent the discriminatory pricing