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Related papers: The Optimality of Constant Mark-Up Pricing

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The effectiveness of utility-maximization techniques for portfolio management relies on our ability to estimate correctly the parameters of the dynamics of the underlying financial assets. In the setting of complete or incomplete financial…

Portfolio Management · Quantitative Finance 2008-12-10 Kasper Larsen , Gordan Zitkovic

We consider the problem of dynamic pricing with limited supply. A seller has $k$ identical items for sale and is facing $n$ potential buyers ("agents") that are arriving sequentially. Each agent is interested in buying one item. Each…

Computer Science and Game Theory · Computer Science 2013-11-27 Moshe Babaioff , Shaddin Dughmi , Robert Kleinberg , Aleksandrs Slivkins

With the rapid growth in the fashion e-commerce industry, it is becoming extremely challenging for the E-tailers to set an optimal price point for all the products on the platform. By establishing an optimal price point, they can maximize…

Machine Learning · Computer Science 2020-08-25 Sajan Kedia , Samyak Jain , Abhishek Sharma

Motivated by the recent popularity of machine learning training services, we introduce a contract design problem in which a provider sells a service that results in an outcome of uncertain quality for the buyer. The seller has a set of…

Computer Science and Game Theory · Computer Science 2026-05-06 Krishnamurthy Iyer , Alec Sun , Haifeng Xu , You Zu

This paper deals with nonlinear mechanics of an elevator brake system subjected to uncertainties. A deterministic model that relates the braking force with uncertain parameters is deduced from mechanical equilibrium conditions. In order to…

Computational Engineering, Finance, and Science · Computer Science 2024-09-30 Piotr Wolszczak , Pawel Lonkwic , Americo Cunha , Grzegorz Litak , Szymon Molski

We consider the setting in which an electric power utility seeks to curtail its peak electricity demand by offering a fixed group of customers a uniform price for reductions in consumption relative to their predetermined baselines. The…

Machine Learning · Computer Science 2018-06-20 Kia Khezeli , Eilyan Bitar

The robust multi-product pricing problem is to determine the prices of a collection of products so as to maximize the worst-case revenue, where the worst case is taken over an uncertainty set of demand models that the firm expects could be…

Optimization and Control · Mathematics 2025-02-17 Xinyi Guan , Velibor V. Mišić

This paper studies dynamic monopoly pricing for a broad class of settings that allow for multiple durable, multiple rental, or a mix of varieties. We show that the driving force behind pricing dynamics is the existence of trading-up…

General Economics · Economics 2025-07-09 Stefan Buehler , Nicolas Eschenbaum , Severin Lenhard

In this paper we formulate a contract design problem where a primary license holder wishes to profit from its excess spectrum capacity by selling it to potential secondary users/buyers. It needs to determine how to optimally price the…

Computational Engineering, Finance, and Science · Computer Science 2012-07-30 Shang-Pin Sheng , Mingyan Liu

A firm that sells a non perishable product considers intertemporal price discrimination in the objective of maximizing its long-run average revenue. We consider a general model of patient customers with changing valuations. Arriving…

Optimization and Control · Mathematics 2020-02-17 Araman Victor , Fayad Bassam

Using duality theory techniques we derive simple, closed-form formulas for bounding the optimal revenue of a monopolist selling many heterogeneous goods, in the case where the buyer's valuations for the items come i.i.d. from a uniform…

Computer Science and Game Theory · Computer Science 2015-10-14 Yiannis Giannakopoulos

Selling a single item to $n$ self-interested buyers is a fundamental problem in economics, where the two objectives typically considered are welfare maximization and revenue maximization. Since the optimal mechanisms are often impractical…

Computer Science and Game Theory · Computer Science 2024-11-06 Billy Jin , Thomas Kesselheim , Will Ma , Sahil Singla

We compare the profit of the optimal third-degree price discrimination policy against a uniform pricing policy. A uniform pricing policy offers the same price to all segments of the market. Our main result establishes that for a broad class…

General Economics · Economics 2021-11-16 Dirk Bergemann , Francisco Castro , Gabriel Weintraub

This paper presents an axiomatic approach to finite Markov decision processes where the discount rate is zero. One of the principal difficulties in the no discounting case is that, even if attention is restricted to stationary policies, a…

Optimization and Control · Mathematics 2022-11-23 Adam Jonsson

This paper studies an online selection problem, where a seller seeks to sequentially sell multiple copies of an item to arriving buyers. We consider an adversarial setting, making no modeling assumptions about buyers' valuations for the…

Computer Science and Game Theory · Computer Science 2024-10-11 Bo Sun , Hossein Nekouyan Jazi , Xiaoqi Tan , Raouf Boutaba

We study common properties of retail pricing models within a general framework of calculus of variations. In particular, we observe that for any demand model, optimal de-seasoned revenue rate divided by price elasticity is time invariant.…

Optimization and Control · Mathematics 2014-02-11 Alexander Kushkuley , Su-Ming Wu

We study an optimal stopping problem with an unbounded, time-dependent and discontinuous reward function. This problem is motivated by the pricing of a variable annuity contract with guaranteed minimum maturity benefit, under the assumption…

Mathematical Finance · Quantitative Finance 2026-03-10 Anne Mackay , Marie-Claude Vachon

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

Computer Science and Game Theory · Computer Science 2018-05-08 Arsenii Vanunts , Alexey Drutsa

We study the power and limitations of posted prices in multi-unit markets, where agents arrive sequentially in an arbitrary order. We prove upper and lower bounds on the largest fraction of the optimal social welfare that can be guaranteed…

Computer Science and Game Theory · Computer Science 2020-02-18 Tomer Ezra , Michal Feldman , Tim Roughgarden , Warut Suksompong

We consider a package assignment problem with multiple units of indivisible items. The seller can specify preferences over partitions of their supply between buyers as packaging costs. We propose incremental costs together with a graph that…

Theoretical Economics · Economics 2025-07-08 Simon Finster