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Essays on Price Dispersion and Dynamic Pricing

Essays on Price Dispersion and Dynamic Pricing
Author: Ching-jen Sun
Publisher:
Total Pages: 120
Release: 2008
Genre: 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.


Three Essays on Pricing Dynamics

Three Essays on Pricing Dynamics
Author: Adam Hale Shapiro
Publisher:
Total Pages: 288
Release: 2008
Genre:
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.


Essays on Price Dispersion and Policy Analysis

Essays on Price Dispersion and Policy Analysis
Author: Viacheslav Sheremirov
Publisher:
Total Pages: 154
Release: 2014
Genre:
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.


Three Essays on Retail Price Competition

Three Essays on Retail Price Competition
Author: Taehwan Kim (Ph.D. in Economics)
Publisher:
Total Pages: 86
Release: 2018
Genre:
ISBN:

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This dissertation consists of three chapters. The first chapter examines price dispersion in retail gasoline and focuses on differentiation along the service dimension: full service versus self service. Consistent with more intensive search by self-service customers, I find that price dispersion always decreases with the number of nearby self-service stations, but does not decrease with the number of nearby full-service stations. When I segment the market by brand, I observe that the estimates are sensitive to how brands are separated into different types. These findings show that the market is more clearly segmented by service level than by brand type and also highlight the importance of product differentiation when modeling price dispersion. In the second chapter, I examine product positioning and pricing strategies of sellers in a market undergoing a significant restructuring using data from the introduction of self-service technology in the Korean gasoline market in the 2000s. I show that the decision of full-service sellers to exit or switch to self service is positively correlated with the intensity of competition they face. The pricing strategies of sellers differ by product position: self-service sellers compete for price-sensitive consumers, whereas full-service sellers differentiate their product by offering a variety of bundled products and services, such as coffee, carwash or even a nail salon, to compete for less-price-sensitive consumers. Taken together, these patterns have led to an increase in the full-service premium during the market transition. In the third chapter, I study the effect of a government contract on price. Since 2013, Korean government officials have been required to refuel at contracted gasoline stations, at about 5% discounts relative to the posted price. The initial contract terminated in November 2015 and a new group of sellers took over the contract. In this paper, I use this natural experiment to examine the impact of the government contract on gasoline prices, using a difference-in-difference analysis and price data on all gasoline stations in Seoul. I find that, all else equal, posted prices of contracted gasoline stations are about 2% higher than those of non-contracted stations. This finding is consistent with the prediction of models of price discrimination that prices decrease when the elasticity of demand falls. The effect on prices is not uniform across all stations, however. The contract leads to larger increases in full-service stations' posted prices than in self-service stations' prices, and larger increases at stations with fewer nearby competitors. The contract also decreases prices of non-contracted stations very close to contracted stations.


Essays on the Relationship of Competition and Firms' Price Responses

Essays on the Relationship of Competition and Firms' Price Responses
Author: Sungbok Lee
Publisher:
Total Pages:
Release: 2012
Genre:
ISBN:

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This dissertation investigates the relationship of competition and firms' price responses, by analyzing: i) whether new entry reduces price discrimination, ii) when incumbents reduce price discrimination preemptively in response to the threat of entry, and iii) how competition increases prices. The dissertation consists of three independent essays addressing each of the above questions. The first two essays present an empirical analysis of the airline industry and the third essay presents a theoretical analysis of the credit card industry. In the empirical study of the relationship between competition and firms' pricing in the airline industry, I emphasize the importance of distinguishing the equilibrium behaviors with respect to different market characteristics. Major airlines can price discriminate differently in a market where they compete with low-cost carriers comparing to in another market where they don't, and also they can respond dfferently to the threat of entry depending on whether they are certain about the rival's future entry. The study reveals that competition has a positive effect on price discrimination in the routes where major airlines compete against one anther. In these routes, competition reduces lower-end prices to a greater extent than upper-end prices. In contrast, an entry by low-cost carriers results in a significant negative relationship between competition and price discrimination. Thus, the opposite results in the literature are both evident in the airline industry, and it is very important to identify the different forces of competition on price discrimination. Firms can respond to potential competition as well as actual competition. So, I extend the study to the relationship of potential competition and price discrimination, specially in cases where major airlines compete against one another while facing Southwest's threat of entry. I also attempt to suggest major airlines' motives of reducing price discrimination preemptively. The results of the study suggest that incumbents reduce price dispersion when it is possible to deter the rival's entry and that the potential rival discourages incumbents from deterring entry by announcing before its beginning service. Finally, I examine when competition can increase prices in a market, by analyzing the issuing side of the credit card industry. This industry is characterized by a two-sided market with a platform. Under the no-surcharge rule that restricts merchants to set the same price for cash and card purchases, the equilibrium interchange fee increases with competition. This occurs because issuers can compensate losses from competing on the issuing side by collectively increasing the interchange fee. As a result, limiting competition may improve social welfare when the interchange fee is higher than the social optimal level. In contrast, in the absence of the no-surcharge rule, the analysis shows that competition always improves social welfare by lowering the price of the market.


Essays on Price Dispersion

Essays on Price Dispersion
Author: Cemil Selcuk
Publisher:
Total Pages: 104
Release: 2006
Genre:
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.


The Economics of Price Discrimination

The Economics of Price Discrimination
Author: George Norman
Publisher: Edward Elgar Publishing
Total Pages: 624
Release: 1999
Genre: Business & Economics
ISBN:

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This volume brings together significant articles which have appeared between 1971 and 1997, analyzing the application and effects of price discrimination.