Essays On Price Dispersion And Dynamic Pricing
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Essays On Price Dispersion And Dynamic Pricing
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Author : Ching-jen Sun
language : en
Publisher:
Release Date : 2008
Essays On Price Dispersion And Dynamic Pricing written by Ching-jen Sun and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Prices categories.
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 In Dynamic Pricing Of Multiple Substitutable Products
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Author : Sajjad Najafi
language : en
Publisher:
Release Date : 2016
Essays In Dynamic Pricing Of Multiple Substitutable Products written by Sajjad Najafi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
I study the dynamic pricing problem of a firm selling limited inventory of multiple differentiated products over a finite planning horizon, where the firm wishes to maximize the expected revenue. I formulate the firm's optimization problem as a Markov decision process and investigate the pricing problem in the presence of a variety of operational settings. First, I integrate consumer's sequential search behavior into the pricing problem. The consumer inspects products one at a time by incurring non-zero search cost, and makes decision by comparing the utility of the best product so far versus the reservation utility, a threshold at which the consumer is indifferent between continuation and stopping of the sequential search. The firm aims at maximizing the expected revenue by offering the products in the right sequence and at the right prices. I analytically derive the optimal prices in each period. I show that under some condition it is optimal to present products in the descending order of quality. Second, I address a problem in which the firm is subject to a set of sales volume constraints required to be satisfied at different time points along the sales horizon. Due to stochastic nature of sales, I incorporate a risk measure that allows the firm to manage the total sales while the expected revenue is maximized. I formulate the problem as a chance-constrained dynamic programming and show that the Karush-Kuhn-Tucker conditions are not only necessary but also sufficient for the optimal price. Third, I assimilate consumer's consideration sets to the dynamic pricing problem. When to make a purchase decision, consumers use a two-stage decision-making process, i.e., consumers constitute a consideration set including a subset of the available products using a screening rule (e.g., brands, quality, and budget), and they only evaluate the products in the consideration set using a utility comparison process and opt for the product with the maximum utility. I show that the first-order condition is sufficient for the optimal price of products if consumers apply a quality-based screening rule.
Essays On Price Dispersion And Policy Analysis
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Author : Viacheslav Sheremirov
language : en
Publisher:
Release Date : 2014
Essays On Price Dispersion And Policy Analysis written by Viacheslav Sheremirov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
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
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Author : Aleksandr Yankelevich
language : en
Publisher:
Release Date : 2011
Essays On Consumer Shopping Behavior And Price Dispersion written by Aleksandr Yankelevich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Electronic dissertations categories.
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.
Essays On Price Rigidity On The Internet
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Author : Dongwon Lee
language : en
Publisher:
Release Date : 2006
Essays On Price Rigidity On The Internet written by Dongwon Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Essays On Pricing Under Uncertainty
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Author : Diego Alfonso Escobari Urday
language : en
Publisher:
Release Date : 2008
Essays On Pricing Under Uncertainty written by Diego Alfonso Escobari Urday and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
This dissertation analyzes pricing under uncertainty focusing on the U.S. airline industry. It sets to test theories of price dispersion driven by uncertainty in the demand by taking advantage of very detailed information about the dynamics of airline prices and inventory levels as the flight date approaches. Such detailed information about inventories at a ticket level to analyze airline pricing has been used previously by the author to show the importance of capacity constraints in airline pricing. This dissertation proposes and implements many new ideas to analyze airline pricing. Among the most important are: (1) It uses information about inventories at a ticket level. (2) It is the first to note that fare changes can be explained by adding dummy variables representing ticket characteristics. Therefore, the load factor at a ticket level will lose its explanatory power on fares if all ticket characteristics are included in a pricing equation. (3) It is the first to propose and implement a measure of Expected Load Factor as a tool to identify which flights are peak and which ones are not. (4) It introduces a novel idea of comparing actual sales with average sales at various points prior departure. Using these deviations of actual sales from sales under average conditions, it presents is the first study to show empirical evidence of peak load pricing in airlines. (5) It controls for potential endogeneity of sales using dynamic panels. The first essay tests the empirical importance of theories that explain price dispersion under costly capacity and demand uncertainty. The essay calculates a measure of an Expected Load Factor, that is used to calibrate the distribution of demand uncertainty and to identify which flights are peak and which ones are off-peak. It shows that different prices can be explained by the different selling probabilities. The second essay is the first study to provide formal evidence of stochastic peak-load pricing in airlines. It shows that airlines learn about the demand and respond to early sales setting higher prices when expected demand is high and more likely to exceed capacity.
Essays On Market Response To Changes In Costs And Price Transparency
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Author : Anna Olga Smolnik
language : en
Publisher: Cuvillier Verlag
Release Date : 2017-01-25
Essays On Market Response To Changes In Costs And Price Transparency written by Anna Olga Smolnik and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-25 with Business & Economics categories.
The dissertation consists of three empirical studies and takes a closer look at price fluctuations using German gasoline prices as an example for a homogenous good. It analyzes consumers’ reaction to price fluctuations and respectively the pricing behavior of firms. The first paper, which was developed with co-authorship, explores consumers’ online price search effects on the pricing behavior of firms (gasoline price level and price dispersion). As regulators have recently implemented a mechanism for reporting all price changes to a central data base, the core assumption of this price reporting scheme is that the increase in price transparency will lead to a decline in the price level and a reduction in price dispersion. The second study addresses the question whether German gas stations adjust their retail prices asymmetrically in response to crude oil price changes, i.e., whether gas stations react quicker to crude oil price increases than to crude oil price decreases. The third study aims to analyze whether consumers react more strongly to gasoline price increases or to price decreases when considering buying a new vehicle.
Optimal Pricing Inflation And The Cost Of Price Adjustment
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Author : Eytan Sheshinski
language : en
Publisher: MIT Press
Release Date : 1993
Optimal Pricing Inflation And The Cost Of Price Adjustment written by Eytan Sheshinski and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Business & Economics categories.
These collected articles constitute what is perhaps the definitive study of pricing models under inflation, providing a solid basis for further research on this elusive question. What are the real effects of inflation? These collected articles constitute what is perhaps the definitive study of pricing models under inflation, providing a solid basis for further research on this elusive question. Covering a broad range of theory and applications by well-known microeconomists, the eighteen contributions evaluate the effects of inflation on aggregate output and on welfare and reveal the scope of recent efforts to explicitly incorporate frictions in economic models. A basic building block common to most of the essays in this volume is the observation that individual firms change nominal prices intermittently. The frequency and size of nominal price changes are influenced by the cost of price adjustment and changes in the economic environment, production costs, market demand, market structure, and most important, inflation. Thus the degree of nominal rigidity is influenced by the economic environment, and in a dynamic context. Two introductory essays survey the empirical studies of pricing policies by individual firms and the theoretical efforts to integrate the nominal rigidities at the micro level into macro relationships. The essays that follow treat the general problem of optimal dynamic adjustment in the presence of convex costs of adjustment, include applications of the inventory models to the case of nominal price adjustment by an individual firm, address the question of aggregation, introduce active search by consumers, and provide empirical analysis of nominal price rigidities.
Essays On Supply Contracts And Dynamic Pricing
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Author : Dengfeng Zhang
language : en
Publisher:
Release Date : 2008
Essays On Supply Contracts And Dynamic Pricing written by Dengfeng Zhang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Business logistics categories.
The amount a consumer is willing to pay for a product/service, from the perspective of consumer behavior. This work will unveil the underlying dynamics and relationships between reservation price and customer feedback rating of seller product/service quality which sellers can use to set product prices and maximize revenues.
Essays On Dynamic Pricing
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Author : Koray Cosguner
language : en
Publisher:
Release Date : 2013
Essays On Dynamic Pricing written by Koray Cosguner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.