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A monopolist wishes to maximize her profits by finding an optimal price policy. After she announces a menu of products and prices, each agent $x$ will choose to buy that product $y(x)$ which maximizes his own utility, if positive. The…

Optimization and Control · Mathematics 2021-02-12 Robert J. McCann , Kelvin Shuangjian Zhang

A monopolist offers personalized prices to consumers with unit demand, heterogeneous values, and idiosyncratic costs, who differ in a protected characteristic, such as race or gender. The seller is subject to a non-discrimination…

Theoretical Economics · Economics 2025-06-27 Philipp Strack , Kai Hao Yang

We study the optimal design of electricity contracts among a population of consumers with different needs. This question is tackled within the framework of Principal-Agent problems in presence of adverse selection. The particular features…

Optimization and Control · Mathematics 2019-09-17 Clémence Alasseur , Ivar Ekeland , Romuald Elie , Nicolás Hernández Santibáñez , Dylan Possamaï

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

We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost over a finite horizon. Hard constraints are introduced first, and then…

Optimization and Control · Mathematics 2011-07-07 Eugenio Cinquemani , Mayank Agarwal , Debasish Chatterjee , John Lygeros

This paper analyzes the strategic interactions between a profit-maximizing monopolist and a free, capacity-constrained public option. By restricting its own supply, the monopolist intentionally congests the public option and induces…

Theoretical Economics · Economics 2026-04-07 Teddy Mekonnen

We consider the problem of determining a sequence of payments among a set of entities that clear (if possible) the liabilities among them. We formulate this as an optimal control problem, which is convex when the objective function is, and…

Computational Finance · Quantitative Finance 2020-05-20 Shane Barratt , Stephen Boyd

We study the regulation of a monopolistic firm using a robust-design approach. We solve for the policy that minimizes the regulator's worst-case regret, where the regret is the difference between his complete-information payoff minus his…

Theoretical Economics · Economics 2019-10-11 Yingni Guo , Eran Shmaya

Central to privacy concerns is that firms may use consumer data to price discriminate. A common policy response is that consumers should be given control over which firms access their data and how. Since firms learn about a consumer's…

Theoretical Economics · Economics 2020-08-18 S. Nageeb Ali , Greg Lewis , Shoshana Vasserman

We study the optimal pricing strategies of a monopolist selling a divisible good (service) to consumers that are embedded in a social network. A key feature of our model is that consumers experience a (positive) local network effect. In…

Computer Science and Game Theory · Computer Science 2011-01-31 Ozan Candogan , Kostas Bimpikis , Asuman Ozdaglar

We study procurement design when the buyer is uncertain about both the value of the good and the seller's cost. The buyer has a conjectured model but does not fully trust it. She first identifies mechanisms that maximize her worst-case…

Theoretical Economics · Economics 2025-12-10 Debasis Mishra , Sanket Patil , Alessandro Pavan

We study problems arising in real-time auction markets, common in e-commerce and computational advertising, where bidders face the problem of calculating optimal bids. We focus upon a contract management problem where a demand aggregator is…

Computational Engineering, Finance, and Science · Computer Science 2022-06-28 Ryan J. Kinnear , Ravi R. Mazumdar , Peter Marbach

We consider the pricing problem facing a seller of a contingent claim. We assume that this seller has some general level of partial information, and that he is not allowed to sell short in certain assets. This pricing problem, which is our…

Mathematical Finance · Quantitative Finance 2019-02-28 Kristina Rognlien Dahl

We consider a deterministic continuous time model of monopolistic firm, which chooses production and pricing strategies of a single good. Firm's goal is to maximize the discounted profit over infinite time horizon. The no-backlogging…

Optimization and Control · Mathematics 2016-01-19 Dmitry B. Rokhlin , Georgii Mironenko

A fundamental problem in revenue management is to optimally choose the attributes of products, such that the total profit or revenue or market share is maximized. Usually, these attributes can affect both a product's market share…

Optimization and Control · Mathematics 2021-12-24 Hongzhang Shao , Anton J. Kleywegt

We consider a broker who has to place a large order which consumes a sizable part of average daily trading volume. The broker's aim is thus to minimize execution costs he incurs from the adverse impact of his trades on market prices. By…

Trading and Market Microstructure · Quantitative Finance 2013-10-14 Peter Bank , Antje Fruth

We consider a scenario where a retailer can set different prices for different consumers in a smart grid. The retailer's objective is to maximize the revenue, minimize the operating cost, and maximize the consumer's welfare. The retailer…

Optimization and Control · Mathematics 2021-11-09 Diptangshu Sen , Kushaagra Goyal , Varun Ramamohan , Arnob Ghosh

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

Optimization and Control · Mathematics 2016-05-04 Ashkan Jasour , Constantino Lagoa

The proliferation of data collection and machine learning techniques has created an opportunity for commercialization of private data by data aggregators. In this paper, we study this data monetization problem using a contract-theoretic…

Computer Science and Game Theory · Computer Science 2018-10-18 Parinaz Naghizadeh , Arunesh Sinha

In many shopping scenarios, e.g., in online shopping, customers have a large menu of options to choose from. However, most of the buyers do not browse all the options and make decision after considering only a small part of the menu. To…

Computer Science and Game Theory · Computer Science 2018-02-15 Nick Gravin , Zhihao Gavin Tang
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