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Inter-Temporal Price Discrimination with Time-Inconsistent Consumers

Inter-Temporal Price Discrimination with Time-Inconsistent Consumers
Author: Yianis Sarafidis
Publisher:
Total Pages: 0
Release: 2006
Genre:
ISBN:

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This paper analyzes the inter-temporal price discrimination problem of a durable good monopolist facing time-inconsistent consumers. We look at both cases of sophisticated and naive time-inconsistent consumers, but the emphasis is on the naive case. When consumers are naive, we first need to confront the following question: how does the consumers' naivete about their preferences interact with their ability to predict future prices? We solve the game under two solution concepts. Under the first solution concept, which is similar in spirit to the SPNE, consumers have correct expectations about future prices. Under the second one, which relies on backwards induction, consumers' naive expectations concerning their future preferences lead them to have incorrect expectations about future prices. We show that under both solution concepts, as the degree of naivete rises, monopoly profits fall. The monopolist does not benefit from consumers' naivete and should instead educate naive consumers into sophisticated ones. Moreover, as the degree of naivete rises, both solution concepts predict that welfare falls for all consumers, except for the highest valuation ones, and prices approach marginal cost at a lower rate.


Intertemporal Price Discrimination in Storable Goods Markets

Intertemporal Price Discrimination in Storable Goods Markets
Author: Igal Hendel
Publisher:
Total Pages: 36
Release: 2011
Genre: Economics
ISBN:

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Abstract: We study intertemporal price discrimination when consumers can store for future consumption needs. To make the problem tractable we offer a simple model of demand dynamics, which we estimate using market level data. Optimal pricing involves temporary price reductions that enable sellers to discriminate between price sensitive consumers, who anticipate future needs, and less price-sensitive consumers. We empirically quantify the impact of intertemporal price discrimination on profits and welfare. We find that sales: (1) capture 25-30% of the profit gap between non-discriminatory and third degree price discrimination profits, and (2) increase total welfare


Time Inconsistency and Naivete-Based Price Discrimination

Time Inconsistency and Naivete-Based Price Discrimination
Author: Buqu Gao
Publisher:
Total Pages: 0
Release: 2022
Genre:
ISBN:

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In many markets, consumers need to sign advance contracts with upfront fees and usage-based payments. Yet they may value consumptions inconsistently over time. They tend to overconsume temptation goods (e.g., credit cards), but underconsume aversion goods (e.g., gym visits), relative to initial plans. Nevertheless, consumers may be either sophisticated or naive in their beliefs about future consumptions. In this research we study how a firm can design optimal contracts to screen consumers with heterogeneous beliefs about time-inconsistent preferences. We show that the optimal contracts may involve distortions and reversals in the per-usage prices, relative to the first-best benchmark when consumers' belief heterogeneity is absent. The optimal per-usage prices intended for the sophisticated versus the naive consumers may deviate from the marginal cost in opposite directions, concurrently. This two-sided pricing deviation is consistent with many real-world observations. We also show that, contrary to intuition, a higher degree of time inconsistency may reduce firm profit and increase social welfare. Meanwhile, reducing consumer naivete may harm the society. Our main results are robust to the presence of time-consistent consumers. Moreover, in settings with repeated consumptions, the firm can use history-dependent prices to facilitate naivete-based price discrimination.


Intertemporal Price Discrimination with Multiple Products

Intertemporal Price Discrimination with Multiple Products
Author: Jean-Charles Rochet
Publisher:
Total Pages: 52
Release: 2017
Genre: Monopolies
ISBN:

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We study the multiproduct monopoly profit maximisation problem for a seller who can commit to a dynamic pricing strategy. We show that if consumers' valuations are not strongly-ordered then optimality for the seller requires intertemporal price discrimination and it can be implemented by dynamic pricing on the cross-sell to the bundle. If consumers are perfectly negatively correlated, reducing the cross-sell price at a single point in time is optimal. For general valuations we show that if the cross-partial derivative of the profit function is negative then dynamic pricing on the cross-sell is more profitable than fixing prices. So we show that the celebrated Stokey (1979) no-discrimination-across-time result does not extend to multiple good sellers when consumers' valuations are drawn from the tilted uniform, the shifted uniform, the exponential, or the normal distribution. We extend our results to welfare, to complementarities in demand, and to the determination of optimal discount schedules.


Intertemporal Price Discrimination with Time-Varying Valuations

Intertemporal Price Discrimination with Time-Varying Valuations
Author: Victor F. Araman
Publisher:
Total Pages: 41
Release: 2020
Genre:
ISBN:

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A firm that sells a non perishable product considers intertemporal price discrimination in the objective of maximizing the long-run average revenue. Each period, a number of interested customers approach the firm and can either purchase on arrival, or remain in the system for a period of time. During this time, each customer's valuation changes following a discrete and homogenous Markov chain. Customers leave the system if they either purchase at some point, or their valuations reach an absorbing state v0. We show that, in this context, cyclic strategies are optimal, or nearly optimal. When the pace of intertemporal pricing is constrained to be comparable to customers patience level, we have a good control on the cycle length and on the structure of the optimizing cyclic policies. We also obtain an algorithm that yields the optimal (or near optimal) cyclic solutions in polynomial time in the number of prices. We cast part of our results in a general framework of optimizing the long-run average revenues for a class of payoffs that we call weakly coupled, in which the revenue per period depends on a finite number of neighboring prices.


Intertemporal Price Discrimination in Consumer Packaged Goods

Intertemporal Price Discrimination in Consumer Packaged Goods
Author: Ryan Mansley
Publisher:
Total Pages: 0
Release: 2022
Genre:
ISBN:

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Temporary price promotions, or sales, are common in many markets. Using retail scanner data, I find that manufacturers, not retailers, control the timing of sales, while retailers exercise some control over the magnitude of the price decrease. I also find that observed sale policy is more consistent with intertemporal price discrimination than with other explanations. I develop an empirically tractable model that is consistent with these facts and use it to show that sales generally improve consumer surplus and total welfare relative to static pricing. I also find that the effects of market concentration on sales are ambiguous; firms must have some degree of market power for sales to occur, but there are also scenarios when an increase in market power can decrease the occurrence of sales or eliminate them entirely.


Intertemporal Pricing, Supply Chain Design, and Consumer Behavior

Intertemporal Pricing, Supply Chain Design, and Consumer Behavior
Author: Wenbo Cai
Publisher:
Total Pages: 140
Release: 2012
Genre:
ISBN:

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My dissertation explores the interaction between consumer behaviors and the design, pricing and management of products and services. The dissertation is comprised of four chapters. The first chapter studies how a seller's pricing strategy can be affected by behaviors of non-fully rational consumers. These consumers are dynamically inconsistent and exhibit probabilistic decision making behaviors, which have been documented in experimental studies in economics and marketing literature. I show that consumers' dynamic inconsistency can explain why flexible pricing plans are offered by service providers. Moreover, when fully rational consumers and non-fully rational consumers co-exist, a single pricing scheme is optimal. Such a result complements existing literature in mechanism design, as classic models suggest the seller should use a menu of pricing plans to differentiate the consumers. Numerical results are provided to demonstrate that the same result hold when both types of consumers non-fully rational and under mild conditions. The second chapter examines how a seller should design the prices and qualities of products sold through his direct and indirect channels. I show that under the revenue sharing scheme, the seller's optimal design depends on consumers' sensitivities to price and quality. If the consumers are sufficiently sensitive, the seller should provide the product exclusively in the direct channel. If the consumers are sufficiently insensitive, the seller is better off providing a high quality product at a premium price in the direct channel while offering a low quality product in the indirect channel. Such quality differentiation can be eliminated in a profit sharing scheme. I also demonstrate that even when consumers are heterogeneous with privately observed sensitivities, offering a menu to induce self-selection may not be optimal for the seller's profit. In the third chapter, I use a two-period model to show that demand uncertainty can be the sole driver for the common practice of intertemporal pricing in the travel industry. Moreover, both increasing and decreasing pricing patterns can emerge as optimal strategies. I also identify the intrinsic incentive for service providers to deliberately create capacity shortage to induce early purchases. In the extended model, new arrivals are permitted in the second period enhance the competition. Contrary to intuition, the service provider's expected profit is hurt since the additional arrival exacerbates his price commitment issue and results consumers strategically delay their purchases. The last chapter investigates the effect of consumers' limited knowledge of products on their purchasing behavior. Though online retailers put intense effort in improving web functionalities over the years, some product attributes (product quality, user friendliness, fit to consumers' taste) cannot be communicated using the internet and must be examined physically by the consumers. Thus, their product valuations are not fully revealed until after they make the purchase. I show that when consumers are subject to both valuation uncertainty and future price uncertainty, their purchasing decisions are largely influenced by the return policies. A generous refund policy induces high-valued consumers to purchase early. However, it also invites some consumers to wait for the returns. This suggests that capacity rationing can be dampened. On the other hand, since neither the seller nor consumers can predict how many products will be returned, allowing consumer returns strengthens the seller's credibility in not committing to pre-announced prices. This implies that the additional source of valuation uncertainty can be desirable for the seller when dealing with forward-looking consumers. A rationale for retailers do not actively engage in recertifying or remanufacturing returned products is also provided: when returns are perceived as low-quality products, the retailers can facilitate market segmentation without creating new product lines.


Consumers on a Leash

Consumers on a Leash
Author: Aniko Oery
Publisher:
Total Pages: 45
Release: 2016
Genre:
ISBN:

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The Internet allows sellers to track “window shoppers,” consumers who look but do not buy, and to lure them back later by targeting them with an advertised sale. This new technology thus facilitates intertemporal price discrimination, but simultaneously makes it too easy for a seller to undercut her regular price. Because buyers know they could be lured back, the seller is forced to set a lower regular price. Advertising costs can, therefore, serve as a form of commitment: a seller can actually benefit from higher costs of advertising. Based on this framework, the impact of commitment on prices, profits, and welfare are analyzed using a dynamic pricing model. Furthermore, it is demonstrated how buyers' time preferences give rise to price fluctuation or an everyday-low-price in equilibrium.


Intertemporal Price Discrimination Via Reference Price Effects

Intertemporal Price Discrimination Via Reference Price Effects
Author: Zizhuo Wang
Publisher:
Total Pages: 21
Release: 2015
Genre:
ISBN:

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We consider the dynamic pricing problem a monopolistic seller faces when customers arrive in heterogeneous time periods and their purchase decisions are affected by reference prices formed from their past purchase experiences. We illustrate that a new form of price discrimination opportunity exists in such situations, where the seller's optimal pricing strategy is a cyclic one, even when the customers are loss-neutral and their demand functions are identical. This result differs from those in prior studies where the optimal price paths are shown to be asymptotically constant when customer arrival times are homogeneous or when there are no reference price effects, thus is unique due to the interaction between the heterogeneous arrivals and the reference price effects. We also provide the length of the cycle when the demand function is linear. In this era where customer information becomes easier accessible, our results suggest the seller consider this new dimension of price discrimination in conjunction with the old ones, in order to take advantage of the full power of customer data.