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Essays on Price Dispersion and Dynamic Pricing

Author : Ching-jen Sun
Publisher :
Page : 120 pages
File Size : 13,92 MB
Release : 2008
Category : Prices
ISBN :

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Abstract: This dissertation develops three essays on dynamic pricing to investigate two important topics in industrial organization: price dispersion and price discrimination. The first essay considers a stylized model of dynamic price competition in which each seller sells one unit of a homogeneous commodity by posting prices in every period to maximize the expected profits with discounting. A random number of buyers come to the market in each period. Each buyer demands at most one unit of the good, and they all have a common reservation price. They know all prices posted by all firms in the market; hence search is costless. I show that when there is a positive probability of excess demand, the model has a unique (symmetric) mixed-strategy equilibrium. In this equilibrium, each seller posts a price in every period according to a non-degenerate distribution, which is determined by the number of sellers remaining in the market in that period. Sellers play mixed strategies as they are indifferent between selling sooner at a lower price and waiting to sell at a higher price later. Thus, price dispersion not only exists in every period among firms, but also persists over time. In the second essay, I consider a monopolist who can sell vertically differentiated products over two periods to heterogeneous consumers. Consumers each demand one unit of the product in each period. In the second period, consumers are sorted into different segments according to their first-period choice, and the monopolist can offer different menus of contracts to different segments. In this way, the monopolist can price discriminate consumers not only by product quality, but also by purchase history. I fully characterize the monopolist's optimal pricing strategy when the type space is discrete and a simple condition is given to determine whether the monopolist should price discriminate consumers by product quality in the first period. When the consumers' type space is a continuum, I show that there is no fully separating equilibrium, and some properties of the optimal menu of contracts (price-quality pairs) are characterized within the class of partition PBE (Perfect Bayesian Equilibrium). The monopolist will offer only one quality in the first period when the social surplus function is log submodular or the firm and consumers are patient. If it is optimal for the firm to offer only one quality in the first period, the optimal market coverage in the first period is smaller than that in the static model. Furthermore, in equilibrium there are some high-type consumers choosing to downgrade the product in the second period, a phenomenon that has never been addressed in the literature. In the second essay, when the consumers' type space is a continuum, the analysis of the optimal menu of contracts is restricted within the class of partition PBE. The third essay provides a justification for this qualification. I ask whether an optimal menu of contracts can induce a non-partition continuation equilibrium by scrutinizing the example constructed by Laffont and Tirole (1988). They construct a non-partition continuation equilibrium for a given first-period menu of incentive contracts and conjecture that this continuation equilibrium need not be suboptimal for the whole game under small uncertainty. I construct two first-period incentive schemes leading to a partition continuation equilibrium and show that, regardless of the extent of uncertainty, their non-partition continuation equilibrium generates a smaller payoff than one of two partition continuation equilibria for the principal. In this sense, Laffont and Tirole's menu of contracts, giving rise to a non-partition continuation equilibrium, is not optimal. I provide an intuition behind this result, hoping to shed light on the problem of dynamic contracting without commitment.

Essays on Price Dispersion

Author : Cemil Selcuk
Publisher :
Page : 104 pages
File Size : 21,87 MB
Release : 2006
Category :
ISBN :

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In Chapter 1 we study price determination in a market with n identical buyers and a seller who initially commits to some capacity. Sales are sequential and each price is determined by strategic bargaining. A unique subgame perfect equilibrium exists. It is characterized by absence of costly bargaining delays and each trade is settled at a different price. Prices increase with n and fall in the seller's capacity, so if buyers have significant bargaining power, then the seller will strategically constrain capacity to less than n. Thus, despite the efficiency of the bargaining solution, certain distributions of bargaining powers give rise to an allocative ineffciency.

Bargains and rip-offs: A model of monopolistic competitive price dispersion

Author : Dennis Eggert
Publisher : GRIN Verlag
Page : 16 pages
File Size : 33,24 MB
Release : 2007-06-26
Category : Business & Economics
ISBN : 3638801381

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Seminar paper from the year 2006 in the subject Economics - Industrial Economics, grade: 1,0, Helsinki School of Economics, course: Industrial Organisation, language: English, abstract: The main issue in the article is the derivation of a model in which prices can differ in equilibrium, even though the goods are homogeneous and there is asymmetric information in the market. The reason for this price dispersion is caused by consumer heterogeneity. Salop and Stiglitz explain, that “because of differences in preference or ability, some agents perform much better than others in market decisions.” To model this kind of heterogeneity they assign different costs of gathering certain information to the consumers. For simplicity they part the consumers in two groups: The first one consists of low-cost information gatherer and the other group has higher cost to gain complete information. For further simplicity there are just two levels of information: to be completely informed or to be not informed at all. Furthermore the costs to become an informed consumer are fixed. The differences in information in this model regard the locations of the shops. All consumers know about all prices that are in the market, they just do not know where the shop with a certain (the lowest) price is. The shops on the other hand have complete information about the market. They know about the differences between the consumers and can compute the demand that will occur, when they ask a certain price. So they face a trade-off between higher prices and lower demand. It is important to state why there is a possibility of raising the price and not to loose all demand like it would be in a perfect market. When the rise in price is not too high, it does not pay for the high-cost information gatherer to become completely informed. Their expected loss by buying randomly either in low- or high-priced shops is lower than the fixed cost of gathering the information. All together this consumer heterogeneity and the fully informed shops can lead to price dispersion in equilibrium, even though the goods are homogeneous and there is the difference in information between the actors.

Essays on Price Dispersion and Policy Analysis

Author : Viacheslav Sheremirov
Publisher :
Page : 154 pages
File Size : 28,54 MB
Release : 2014
Category :
ISBN :

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A pivotal question in macroeconomics is how output, employment, and price level react to monetary, fiscal, and productivity shocks, both in business-cycle models and in the data. Sticky prices are often considered as one of the key amplification and propagation mechanisms for such shocks. However, there is still a widespread debate how sticky prices are and why they are sticky. This dissertation sheds a new light on this question. Chapter 1 relies on a relatively understudied measure of price stickiness--cross-sectional dispersion of prices--to distinguish between different models of price rigidity, while Chapter 2 measures price stickiness in online markets. With e-commerce becoming a significantly larger sector of the economy, this is one of the first attempts to understand pricing in online markets from data comparable to those used for brick-and-mortar stores. Since different business-cycle models make conflicting predictions about effects of demand shocks, in Chapter 3 I approach this question empirically by estimating the size of fiscal multipliers from military spending data. Such empirical estimates may help researchers and policymakers to distinguish between various models. In macroeconomic models, the level of price dispersion, which is typically approximated using its relationship with inflation, is a central determinant of welfare, the cost of business cycles, the optimal rate of inflation, and the trade-off between inflation and output stability. While the comovement of price dispersion and inflation implied by standard models is positive, in this dissertation I show that it is actually negative in the data. Chapter 1 shows that sales play a pivotal role: i) if sales are removed from the data, the comovement of price dispersion and inflation turns positive; ii) models in which price dispersion is due to price rigidity cannot quantitatively match the comovement even for regular prices; iii) the Calvo model with sales can quantitatively match both the negative comovement found in the data and the positive comovement for regular prices. Finally, I show that models that fail to match the degree of comovement in the data can significantly mismeasure welfare and its determinants. Chapter 2 focuses on price-setting practices in online markets examined through the lens of a novel dataset on price listings and the number of clicks from the Google Shopping Platform. This unique dataset contains information on price quotes and the number of clicks at the daily frequency for a broad variety of consumer goods and sellers in the US and UK over the period of nearly two years. This chapter provides estimates of the frequency of price adjustment, price synchronization across sellers and goods, as well as the distribution of the sizes of price changes. It compares the estimates for the case when information on quantity margin is observed--as in the scanner data from brick-and-mortar stores--with the case when it is not, which is typical in the literature on online prices. It concludes that many internet prices that do not change often obtain very few clicks. The key findings are the following: First, despite the cost of price change being negligible, prices appear relatively sticky. Second, if the quantity margin is accounted for, prices are much more flexible. It remains a question why low-demand sellers do not adjust their prices often, yet maintain costly price listings on the platform. Third, in spite of low costs of monitoring competitors' prices and high benefits from doing so--since search costs for consumers are low too--there is little price synchronization across sellers. Fourth, the distribution of the sizes of price changes is characterized by a non-trivial mass around zero, which is inconsistent with the state-dependent models with fixed menu costs, but favors time-dependent models of price adjustment. Hence, online prices change infrequently, by a large amount, and are not synchronized across sellers. In Chapter 3, I use a multi-country dataset on disaggregated military spending to document the effect of government expenditure by sector on aggregate output. The data obtained from multiple sources including UN, NATO, and the Stockholm International Peace Research Institute (SIPRI) allow to systematically break down total military expenditure into that on durables versus nondurables and services for 69 countries within 1950-1997 period. I show that the spending multiplier is larger when government spends on durables rather than on nondurables or services, which could be due to differences in price flexibility, intertemporal elasticity of substitution, or some other sectoral factors. Although the estimates suffer from the lack of precision, the finding is robust across data sources and groups of countries. Quantitatively, the durables multiplier could be up to four times as high as that for nondurables and services. I use the dataset to estimate the standard spending multiplier as a litmus test, which results in a conventional fiscal multiplier of the size of about 1 ranging from 0.6 to 1.3 in different samples of countries.

Essays on Consumer Shopping Behavior and Price Dispersion

Author : Aleksandr Yankelevich
Publisher :
Page : 116 pages
File Size : 18,21 MB
Release : 2011
Category : Electronic dissertations
ISBN :

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Essay 1: "Price-Matching in a Sequential Search Duopoly" While substantial research has tried to determine if price-matching guarantees are anti-competitive, most previous studies have overlooked the effect that these policies have on consumer search behavior. This essay examines how price-matching guarantees affect consumer behavior and prices in a model of sequential price search. By endogenizing consumers' acquisition of price information, I find that price-matching may raise prices in three new ways. First, price-matching diminishes firms' incentives to lower prices to attract consumers who have no cost of search. Second, for consumers with positive search costs, price-matching lowers the marginal benefit of search, inducing them to accept higher prices. Finally, higher prices may come about because price-matching can lead to asymmetric equilibria where one firm runs fewer sales and both firms tend to offer smaller discounts than in a symmetric equilibrium. These price increasing effects grow in proportion to the number of consumers who make use of price-matching guarantees as well as in the amount of asymmetry that prevails in equilibrium. Essay 2: "Asymmetric Sequential Search" (with Carmen Astorne-Figari) Rival firms often find themselves catering to a very different mix of customers from that of their competitors. This can lead to variations in pricing behavior even when other factors, such as product quality and the cost of production, are held constant across firms. In this essay, we use a model of sequential consumer price search to explore how asymmetries in the demand structures across firms impact firm pricing. In our model, a fraction of consumers must pay a cost to search for prices beyond their local firm and firms serve different fractions of local consumers. The price distribution of a firm with more local consumers first order stochastically dominates that of a firm with fewer local consumers and places positive probability on its upper bound. This means that a firm with more local consumers has a higher average price and runs sales less frequently. The frequency of sales diminishes in the number of local consumers, but price dispersion persists even if all consumers are local to a single firm. Moreover, as the fraction of consumers who search without cost increases, firms tend to offer bigger discounts, while the likelihood of a sale may fall. Essay 3: "Energizer: The Bunny or the Battery? Advertising as a Way to Publicize Either the Brand or the Good" (with Carmen Astorne-Figari) Experimental studies and surveys of consumers suggest that an important role of advertising is to convince consumers that they want the product and to buy it from the brand advertising it. However, because of competitive clutter, an advertisement that induces a consumer to enter the market may lead her to purchase from a competing brand. Thus, we can characterize two effects of advertising: (i) an effect that benefits the individual firm by promoting binding between the brand and the advertised good and (ii) a "public good" quality that benefits all producers of the good by inducing additional consumers to enter the market. We analyze these two effects to study the relationship between advertising and market size, price, firm profit and consumer welfare.

Three Essays on Pricing Dynamics

Author : Adam Hale Shapiro
Publisher :
Page : 288 pages
File Size : 46,24 MB
Release : 2008
Category :
ISBN :

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Abstract: I analyze three settings of pricing dynamics. In the first chapter, I describe a new method of estimating the New Keynesian Phillips Curve. Specifically, this study introduces a new proxy for the real marginal cost term as well as a new instrument set, both of which are based on the micro foundations of the vertical chain of production. I find that the new proxy, based on input prices as opposed to wages, provides a more robust and significant fit to the model. Instruments that are based on the vertical production chain appear to be both more valid and relevant. In the second chapter, I describe the dynamics of pricing in the airline industry. Specifically, this chapter analyzes the effects of market structure on price dispersion using panel data. I find that competition has a negative effect on price dispersion, in line with the traditional textbook treatment of price discrimination. Furthermore, the effects of competition on price dispersion are most significant on routes that we identify as having consumers characterized by relatively heterogeneous elasticities of demand. On routes with a more homogeneous customer base, the effects of competition on price discrimination are largely insignificant. These results show that competition acts to erode the ability of a carrier to price discriminate, resulting in reduced overall price dispersion. In the third chapter, I analyze airline price dispersion in order to determine the effects of the business cycle on markup variations. While most macroeconomic studies find a counter-cyclical markup, this study suggests that the markup in the airline industry is pro-cyclical. Using a panel analysis, I find that the output gap explains a larger positive degree of price dispersion on routes with a heterogeneous consumer base relative to routes with a homogenous consumer base. This suggests that the markup charged to price inelastic consumers rises during peaks in the business cycle.