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This article introduces a decentralized robust optimization framework for safe multi-agent control under uncertainty. Although stochastic noise has been the primary form of modeling uncertainty in such systems, these formulations might fall…

最优化与控制 · 数学 2025-08-19 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

We consider revenue-optimal mechanism design in the interdimensional setting, where one dimension is the 'value' of the buyer, and one is a 'type' that captures some auxiliary information. One setting is the FedEx Problem, for which FGKK…

计算机科学与博弈论 · 计算机科学 2020-02-18 Nikhil Devanur , Kira Goldner , Raghuvansh Saxena , Ariel Schvartzman , S. Matthew Weinberg

We develop a novel framework for costly information acquisition in which a decision-maker learns about an unobserved state by choosing a signal distribution, with the cost of information determined by the distribution of noise in the…

理论经济学 · 经济学 2025-03-27 Peter Achim , Kemal Ozbek

When introducing a novel product, a seller sets a price and decides how much information to provide to a buyer, who may incur a search cost to discover an outside option. The buyer knows the outside option distribution; the seller knows…

理论经济学 · 经济学 2025-08-07 Kun Zhang

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

最优化与控制 · 数学 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

Robust optimization is a tractable and expressive technique for decision-making under uncertainty, but it can lead to overly conservative decisions when pessimistic assumptions are made on the uncertain parameters. Wasserstein…

最优化与控制 · 数学 2026-04-07 Irina Wang , Cole Becker , Bart Van Parys , Bartolomeo Stellato

Two sellers compete to sell identical products to a single buyer. Each seller chooses an arbitrary mechanism, possibly involving lotteries, to sell their product. The utility-maximizing buyer can choose to participate in one or both…

计算机科学与博弈论 · 计算机科学 2025-05-27 Brendan Lucier , Raghuvansh R. Saxena

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…

计算机科学与博弈论 · 计算机科学 2018-05-08 Arsenii Vanunts , Alexey Drutsa

We study how to optimally segment monopolistic markets with a redistributive objective. We characterize optimal redistributive segmentations and show that they (i) induce the seller to price progressively, i.e., charge richer consumers…

理论经济学 · 经济学 2026-05-14 Victor Augias , Alexis Ghersengorin , Daniel M. A. Barreto

Combining two or more items and selling them as one good, a practice called bundling, can be a very effective strategy for reducing the costs of producing, marketing, and selling goods. In this paper, we consider a form of multi-issue…

多智能体系统 · 计算机科学 2007-05-23 Koye Somefun , Tomas Klos , Han La Poutré

This paper focuses on solving a data-driven distributionally robust optimization problem over a network of agents. The agents aim to minimize the worst-case expected cost computed over a Wasserstein ambiguity set that is centered at the…

最优化与控制 · 数学 2022-08-23 Ashish Cherukuri , Alireza Zolanvari , Goran Banjac , Ashish R. Hota

The assortment planning problem is a central piece in the revenue management strategy of any company in the retail industry. In this paper, we study a robust assortment optimization problem for substitutable products under a sequential…

最优化与控制 · 数学 2020-09-01 Saharnaz Mehrani , Jorge A. Sefair

In the design and analysis of revenue-maximizing auctions, auction performance is typically measured with respect to a prior distribution over inputs. The most obvious source for such a distribution is past data. The goal is to understand…

计算机科学与博弈论 · 计算机科学 2015-11-30 Richard Cole , Tim Roughgarden

We consider a nonlinear pricing environment with private information. We provide profit guarantees (and associated mechanisms) that the seller can achieve across all possible distributions of willingness to pay of the buyers. With a…

理论经济学 · 经济学 2023-02-01 Dirk Bergemann , Tibor Heumann , Stephen Morris

We consider a multiproduct monopoly pricing model. We provide sufficient conditions under which the optimal mechanism can be implemented via upgrade pricing -- a menu of product bundles that are nested in the strong set order. Our approach…

计算机科学与博弈论 · 计算机科学 2021-12-03 Dirk Bergemann , Alessandro Bonatti , Andreas Haupt , Alex Smolin

Problem definition: We consider a newsvendor problem with unknown demand distribution, where we distinguish ambiguity under which the newsvendor does not differentiate demand distributions of common characteristics and misspecification…

最优化与控制 · 数学 2026-05-05 Feng Liu , Zhi Chen , Ruodu Wang , Shuming Wang

We present tight bounds and heuristics for personalized, multi-product pricing problems. Under mild conditions we show that the best price in the direction of a positive vector results in profits that are guaranteed to be at least as large…

理论经济学 · 经济学 2021-02-17 Guillermo Gallego , Gerardo Berbeglia

Trustworthy machine learning aims at combating distributional uncertainties in training data distributions compared to population distributions. Typical treatment frameworks include the Bayesian approach, (min-max) distributionally robust…

机器学习 · 计算机科学 2025-05-05 Shixiong Wang , Haowei Wang , Xinke Li , Jean Honorio

We study the revenue-maximizing mechanism when a buyer's value evolves endogenously because of learning-by-consuming. A seller sells one unit of a divisible good, while the buyer relies on his private, rough valuation to choose his…

理论经济学 · 经济学 2022-09-07 Huiyi Guo , Wei He , Bin Liu

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…

理论经济学 · 经济学 2019-10-11 Yingni Guo , Eran Shmaya