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A principal wishes to transact business with a multidimensional distribution of agents whose preferences are known only in the aggregate. Assuming a twist (= generalized Spence-Mirrlees single-crossing) hypothesis and that agents can choose…

最优化与控制 · 数学 2009-12-17 Alessio Figalli , Young-Heon Kim , Robert J. McCann

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…

最优化与控制 · 数学 2016-01-19 Dmitry B. Rokhlin , Georgii Mironenko

We consider a principal seller with $m$ heterogeneous products to sell to an additive buyer over independent items. The principal can offer an arbitrary menu of product bundles, but faces competition from smaller and more agile single-item…

计算机科学与博弈论 · 计算机科学 2024-06-21 Moshe Babaioff , Linda Cai , Brendan Lucier

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…

计算机科学与博弈论 · 计算机科学 2011-01-31 Ozan Candogan , Kostas Bimpikis , Asuman Ozdaglar

We study a classic Bayesian mechanism design setting of monopoly problem for an additive buyer in the presence of budgets. In this setting a monopolist seller with $m$ heterogeneous items faces a single buyer and seeks to maximize her…

计算机科学与博弈论 · 计算机科学 2018-10-09 Yu Cheng , Nick Gravin , Kamesh Munagala , Kangning Wang

Consider the seller's problem of finding optimal prices for her $n$ (divisible) goods when faced with a set of $m$ consumers, given that she can only observe their purchased bundles at posted prices, i.e., revealed preferences. We study…

计算机科学与博弈论 · 计算机科学 2018-10-09 Ziwei Ji , Ruta Mehta , Matus Telgarsky

We consider the problem of choosing prices of a set of products so as to maximize profit, taking into account self-elasticity and cross-elasticity, subject to constraints on the prices. We show that this problem can be formulated as…

最优化与控制 · 数学 2026-04-30 Maximilian Schaller , Stephen Boyd

Linear contracts are ubiquitous in practice, yet optimal contract theory often prescribes complex, nonlinear structures. We provide a distributional robustness justification for linear contracts. We study a principal-agent problem where the…

计算机科学与博弈论 · 计算机科学 2026-04-28 Shiliang Zuo

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…

计算机科学与博弈论 · 计算机科学 2018-02-15 Nick Gravin , Zhihao Gavin Tang

Adverse selection is a version of the principal-agent problem that includes monopolist nonlinear pricing, where a monopolist with known costs seeks a profit-maximizing price menu facing a population of potential consumers whose preferences…

最优化与控制 · 数学 2023-11-27 Robert J. McCann , Kelvin Shuangjian Zhang

We study a principal-agent team production model. The principal hires a team of agents to participate in a common production task. The exact effort of each agent is unobservable and unverifiable, but the total production outcome (e.g. the…

计算机科学与博弈论 · 计算机科学 2025-05-27 Shiliang Zuo

We study the principal-agent problem. We show that $b$-convexity of the space of products, a condition which appears in a recent paper by Figalli, Kim and McCann \cite{fkm}, is necessary to formulate the problem as a maximization over a…

最优化与控制 · 数学 2011-08-19 Brendan Pass

A multi-product monopolist faces a buyer who is privately informed about his valuations for the goods. As is well-known, optimal mechanisms are in general complicated, while simple mechanisms -- such as pure bundling or separate sales --…

理论经济学 · 经济学 2025-09-03 Mira Frick , Ryota Iijima , Yuhta Ishii

We analyze a principal-agent procurement problem in which the principal (she) is unaware some of the marginal cost types of the agent (he). Communication arises naturally as some types of the agent may have an incentive to raise the…

理论经济学 · 经济学 2025-10-27 Alejandro Francetich , Burkhard C. Schipper

We consider a monopolist seller with $n$ heterogeneous items, facing a single buyer. The buyer has a value for each item drawn independently according to (non-identical) distributions, and her value for a set of items is additive. The…

计算机科学与博弈论 · 计算机科学 2020-08-03 Moshe Babaioff , Nicole Immorlica , Brendan Lucier , S. Matthew Weinberg

We study the existence of equilibrium when agents' preferences may not beconvex. For some specific utility functions, we provide a necessary and sufficientcondition under which there exists an equilibrium. The standard approach cannot be…

计算金融 · 定量金融 2025-03-24 Cuong Le Van , Ngoc-Sang Pham

We investigate approximately optimal mechanisms in settings where bidders' utility functions are non-linear; specifically, convex, with respect to payments (such settings arise, for instance, in procurement auctions for energy). We provide…

计算机科学与博弈论 · 计算机科学 2017-02-23 Amy Greenwald , Takehiro Oyakawa , Vasilis Syrgkanis

This paper studies optimal bundling of products with non-additive values. Under monotonic preferences and single-peaked profits, I show a monopolist finds pure bundling optimal if and only if the optimal sales volume for the grand bundle is…

综合经济学 · 经济学 2022-04-22 Soheil Ghili

For incomplete preference relations that are represented by multiple priors and/or multiple -- possibly multivariate -- utility functions, we define a certainty equivalent as well as the utility buy and sell prices and indifference price…

最优化与控制 · 数学 2021-04-06 Birgit Rudloff , Firdevs Ulus

When selling information products, the seller can provide some free partial information to change people's valuations so that the overall revenue can possibly be increased. We study the general problem of advertising information products by…

计算机科学与博弈论 · 计算机科学 2021-09-24 Shuran Zheng , Yiling Chen
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