Download or read book Dynamic Pricing with Capacity Constraints Strategic Buyers and Uncertain Demand written by and published by . This book was released on 2017 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic Price Cometition with Capacity Constraints and Strategic Buyers written by Gary Biglaiser and published by . This book was released on 2004 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic Price Competition with Capacity Constraints and Strategic Buyers written by Gary Biglaiser and published by . This book was released on 2004 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic Price Competition with Capacity Constraints and a Strategic Buyer written by James J. Anton and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze a simple dynamic durable good model. Two incumbent sellers and potential entrants choose their capacities at the start of the game. We solve for equilibrium capacity choices and the (necessarily mixed) pricing strategies. In equilibrium, the buyer splits the order with positive probability to preserve competition, making it possible that a high and low price seller both have sales. Sellers command a rent above the value of unmet demand by the other seller. A buyer benefits from either a commitment not to make future purchases or by hiring an agent to always buy from the lowest priced seller.

Download or read book Dynamic Pricing Under Demand Uncertainty in the Presence of Strategic Consumers written by Yinhan Meng and published by . This book was released on 2011 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the effect of strategic consumer behavior on pricing, inventory decisions, and inventory release policies of a monopoly retailer selling a single product over two periods facing uncertain demand. We consider the following three-stage two-period dynamic pricing game. In the first stage the retailer sets his inventory level and inventory release policy; in the second stage the retailer faces uncertain demand that consists of both myopic and strategic consumers. The former type of consumers purchase the good if their valuations exceed the posted price, while the latter type of consumers consider future realizations of prices, and hence their future surplus, before deciding when to purchase the good; in the third stage, the retailer releases its remaining inventory according to the release policy chosen in the first stage. Game theory is employed to model strategic decisions in this setting. Each of the strategies available to the players in this setting (the consumers and the retailer) are solved backward to yield the subgame perfect Nash equilibrium, which allows us to derive the equilibrium pricing policies. This work provides three primary contributions to the fields of dynamic pricing and revenue management. First, if, in the third stage, inventory is released to clear the market, then the presence of strategic consumers may be beneficial for the retailer. Second, we find the optimal inventory release strategy when retailers have capacity limitation. Lastly, we numerically demonstrate the retailer's optimal decisions of both inventory level and the inventory release strategy. We find that market clearance mechanism and intermediate supply strategy may emerge as the retailers optimal choice.

Download or read book Dynamic Pricing Strategies in the Presence of Demand Shifts written by Omar Besbes and published by . This book was released on 2016 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many factors introduce the prospect of changes in the demand environment that a firm faces, with the specifics of such changes not necessarily known in advance. If and when realized, such changes affect the delicate balance between demand and supply and thus current prices should account for these future possibilities. We study the dynamic pricing problem of a retailer facing the prospect of a change in the demand function during a finite selling season with no inventory replenishment opportunity. In particular, the time of the change and the postchange demand function are unknown upfront, and we focus on the fundamental trade-off between collecting revenues from current demand and doing so for postchange demand, with the capacity constraint introducing the main tension. We develop a formulation that allows for isolating the role of dynamic pricing in balancing inventory consumption throughout the horizon. We establish that, in many settings, optimal pricing policies follow a monotone path up to the change in demand. We show how one may compare upfront the attractiveness of pre- and postchange demand conditions and how such a comparison depends on the problem primitives. We further analyze the impact of the model inputs on the optimal policy and its structure, ranging from the impact of model parameter changes to the impact of different representations of uncertainty about future demand.

Download or read book Dynamic Pricing of Experience Goods in Markets with Demand Uncertainty written by Yu-Hung Chen and published by . This book was released on 2018 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies a firm's optimal dynamic pricing strategies for its new experience goods inmarkets where the distribution of consumers' valuations is ex ante unknown. We examine whetherand how the firm facing information asymmetry and demand uncertainty can signal its high qualityand learn market demand through its pricing strategy. First, we find that a high-quality firm cancredibly reveal its true quality in the early period with either a skimming-pricing strategy or apenetration-pricing strategy under different conditions. Second, though a high-quality firm canbenefit more from learning market demand than a low-quality firm, the high-quality firm may inequilibrium adopt a penetration-pricing strategy to forgo the benefit of learning demand in orderto separate from the low-quality firm, who would adopt a skimming strategy to learn marketdemand. Third, although consumers have higher willing-to-pay for a high-quality product, thehigh-quality firm may in equilibrium charge a lower initial price than the low-quality firm. Fourth,interestingly, the high-quality firm may earn higher profits when its initial price is made underdemand uncertainty than under no uncertainty. Lastly, with perfect social learning (i.e., in the laterperiod, all consumers can learn the firm's quality from earlier customers), the high-quality firmcan in equilibrium signal its quality and learn market demand by adopting a skimming strategy.

Download or read book Collusive Pricing with Capacity Constraints in the Presence of Demand Uncertainty written by Robert W. Staiger and published by . This book was released on 1990 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic Pricing with Demand Model Uncertainty written by Mr. Nuri Bora Keskin and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Pricing decisions often involve a tradeoff between learning about customer behavior to increase long-term revenues, and earning short-term revenues. In this thesis we examine that tradeoff. Whenever a firm is not certain about how its customers will respond to price changes, there is an opportunity to use price as a tool for learning about a demand curve. Most firms try to solve the tradeoff between learning and earning by managing these two goals separately. A common practice is to first estimate the parameters of the demand curve, and then choose the optimal price, assuming the parameter estimates are accurate. In this thesis we show that this conventional approach is far from being optimal, running the risk of incomplete learning--a negative statistical outcome in which the decision maker stops learning prematurely. We also propose several remedies to avoid the incomplete learning problem, and guard against poor performance. In Chapter 1, we model a learn-and-earn problem using a theoretical framework in which a seller has a prior belief about the demand curve for its product, and updates his belief upon observing customer responses to successive sales attempts. We assume that the seller's prior is a binary distribution, i.e. one of two demand curves is known to apply, although our analysis can be extended to any finite prior. In this setting, we first analyze the myopic Bayesian policy (MBP), which is a stylized representative of the estimate-and-then-optimize policies described above. Our analysis makes three contributions to the literature: first, we show that under the MBP the seller's beliefs can get stuck at a confounding value, leading to poor revenue performance. This result elucidates incomplete learning as a consequence of myopic pricing. Our second contribution is the development of a constrained variant of the MBP as a way to tweak the MBP in the binary-prior setting. By forbidding prices that are not sufficiently informative, constrained MBP (CMBP) avoids the incomplete learning problem entirely, and moreover, its expected performance gap relative to a clairvoyant who iv knows the underlying demand curve is bounded by a constant independent of the sales horizon. Finally, we generalize the CMBP family to obtain more flexible pricing policies that are suitable in case the seller has an arbitrary prior on model parameters. The incomplete learning result and the pricing policies we design have a practical significance. Because firms have no means to check whether they are suffering from incomplete learning, the myopic policies used in practice need to be modified with some kind of forced price experimentation, and our policies provide guidelines on how price experimentation can be employed to prevent incomplete learning. In Chapter 2, we consider several research questions: for example, when a seller has been charging an incumbent price for a very long time, how can he make use of the information contained in that incumbent price? Or, when a seller offers multiple products with substitutable demand, can he safely employ an independent price experimentation strategy for each product? More importantly, what if the particular pricing policies in literature are not feasible in a given business setting? To handles such cases, can we derive general principles that identify the essential ingredient of successful price experimentation policies? We address these questions using a fairly general dynamic pricing model, where a monopolist sells a set of products over a given time horizon. The expected demand for products is given by a linear curve, the parameters of which are not known by the seller. The seller's goal is to learn the parameters of the demand curve as he keeps trying to earn revenues. This chapter makes four main contributions to the learning-and-earning literature. First, we formulate an incumbent-price problem, where the seller starts out knowing one point on its demand curve, and show that the value of information contained in the incumbent price is substantial. Second, unlike previous studies that focus on a particular form of price experimentation, we derive general sufficient conditions for accumulating information in a near-optimal manner. We believe that practitioners can use these conditions as guidelines to design successful pricing policies in various settings. Third, we develop a unifying theme to obtain performance bounds in operations management problems with model uncertainty. We employ (i) the concept of Fisher information to derive natural lower bounds on regret, and (ii) martingale theory to analyze the estimation errors and generate well-performing policies. Finally, we analyze the pricing of multiple products with substitutable demand. Our analysis shows that multi-product pricing is not a straightforward repetition of single-product pricing. Learning in a high dimensional price space essentially requires sufficient "variation" in the directions of successive price vectors, which brings forth the idea of orthogonal pricing. In Chapter 3, we extend our analysis to the case where information can become obsolete. The particular dynamic pricing problem we consider includes a seller who tries to simultaneously learn about a time-varying demand curve, and earn sales revenues. We conduct a simulation study to evaluate the revenue performance of several pricing policies in this setting. Our results suggest that policies designed for static demand settings do not perform well in time-varying demand settings. Moreover, if the demand environment is not very noisy and the changes are not very frequent, a simple modification of the estimate-and-then-optimize approach, which is based on a moving time window, performs reasonably well in changing demand environments.

Download or read book Pricing and Capacity Decisions Under Demand Uncertainty written by John Drogosz and published by . This book was released on 1998 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic Pricing with Fairness Concerns and a Capacity Constraint written by Matthew Selove and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although some firms use dynamic pricing to respond to demand fluctuations, other firms claim that fairness concerns prevent them from raising prices during periods when demand exceeds capacity. This paper explores conditions in which fairness concerns can or cannot cause shortages. In our model, a firm announces a price policy that states its prices during high and low demand, and customers must travel to a venue to learn the current price. We show that the interaction of fairness concerns with travel costs can cause the firm to set stable prices, which leads to shortages during high demand. However, if the firm is able to inform customers about the current price before they incur any travel costs, then dynamic pricing with no shortages is optimal even with strong fairness concerns.

Download or read book Dynamic Pricing with Capacity Constraints written by Ann-Cathrin Fels and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of Big Data, many firms have successfully adopted a dynamic strategy to price their products. The underlying mechanisms of Dynamic Pricing and how to optimally employ them have been widely discussed in the operations management literature, but their empirical testing is largely deficient. The present work hence attempts to tackle this gap by validating the key findings, focussing in particular on the impact of a binding capacity constraint on the optimal pricing strategy. Using a deductive research approach, a data set on football tickets for the First German Bundesliga is scraped from a reselling platform and employed to test the identified conjectures. Empirical analysis suggests that, in the presence of myopic fans, the optimal price falls over time in line with opportunity costs and should increase only in response to a decline in inventory. The findings confirm that a well-designed dynamic pricing strategy indeed offers high potential to improve the financial performance of football clubs in the absence of a consumer backlash.

Download or read book Dynamic Pricing and Inventory Control written by Elodie Adida and published by VDM Publishing. This book was released on 2007 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: (cont.) We introduce and study a solution method that enables to compute the optimal solution on a finite time horizon in a monopoly setting. Our results illustrate the role of capacity and the effects of the dynamic nature of demand. We then introduce an additive model of demand uncertainty. We use a robust optimization approach to protect the solution against data uncertainty in a tractable manner, and without imposing stringent assumptions on available information. We show that the robust formulation is of the same order of complexity as the deterministic problem and demonstrate how to adapt solution method. Finally, we consider a duopoly setting and use a more general model of additive and multiplicative demand uncertainty. We formulate the robust problem as a coupled constraint differential game. Using a quasi-variational inequality reformulation, we prove the existence of Nash equilibria in continuous time and study issues of uniqueness. Finally, we introduce a relaxation-type algorithm and prove its convergence to a particular Nash equilibrium (normalized Nash equilibrium) in discrete time.

Download or read book Dynamic Pricing Implications of Uncertainty about Demand written by Eric Gordon Wruck and published by . This book was released on 1989 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic Pricing and Inventory Management Under Fluctuating Procurement Costs written by Guang Xiao and published by . This book was released on 2015 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a periodic review joint pricing and inventory control model in which a firm faces both stochastic demand and fluctuating procurement costs. To address procurement cost fluctuation, the firm adopts a dual-sourcing strategy, under which it procures from a spot market with immediate delivery and through a forward-buying contract with postponed delivery. Our analysis offers the unique insight that a risk-neutral firm may earn higher expected profit under a more volatile procurement cost process. This is because the firm makes its pricing and sourcing decisions in response to the realized cost in each period. Moreover, we characterize how the firm should dynamically adjust its pricing and sourcing decisions in accordance to cost evolution. For example, if sourcing through the forward-buying contract is less expensive than sourcing directly from the spot market, the optimal safety stock is decreasing in the current spot market purchasing cost. However, the optimal order quantity through the forward-buying contract is, in general, not monotone in the current spot-purchasing cost. Finally, we conduct extensive numerical experiments to show that dynamic pricing and dual-sourcing may be either strategic complements or substitutes in the presence of fluctuating procurement costs and uncertain demand. This is because dynamic pricing mitigates demand uncertainty risk and exploits procurement cost fluctuation, while dual-sourcing may either intensify or dampen demand risk.

Download or read book Joint Pricing and Inventory Control with a Markovian Demand Model written by Rui Yin and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the joint pricing and inventory control problem for a single product with a finite horizon and periodic review. The demand distribution in each period is determined by an exogenous Markov chain. Pricing and ordering decisions are made at the beginning of each period and all shortages are backlogged. The surplus costs as well as fixed and variable costs are state dependent. We show the existence of an optimal (s, S, p)-type feedback policy for the additive demand model. We extend the model to the case of emergency orders and also incorporate capacity and service level constraints. We compute the optimal policy for a class of Markovian demand and illustrate the benefits of dynamic pricing over fixed pricing strategies through numerical examples. The results indicate that it is more beneficial to implement the dynamic pricing strategy in a Markovian demand environment with a high fixed ordering cost or with high demand uncertainty.

Download or read book The Theory and Practice of Revenue Management written by Kalyan T. Talluri and published by Springer Science & Business Media. This book was released on 2006-02-21 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revenue management (RM) has emerged as one of the most important new business practices in recent times. This book is the first comprehensive reference book to be published in the field of RM. It unifies the field, drawing from industry sources as well as relevant research from disparate disciplines, as well as documenting industry practices and implementation details. Successful hardcover version published in April 2004.