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A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some…

计量经济学 · 经济学 2025-05-29 Anders Bredahl Kock , David Preinerstorfer

We propose a novel family of sales-based rebate mechanisms that induce network effects in sales of products that do not exhibit such externalities. The proposed rebate mechanisms enable the seller of a product with uncertain quality to…

最优化与控制 · 数学 2021-10-01 Amir Ajorlou , Ali Jadbabaie

This paper considers structural optimization under a reliability constraint, where the input distribution is only partially known. Specifically, when we only know that the expected value vector and the variance-covariance matrix of the…

最优化与控制 · 数学 2022-12-19 Yoshihiro Kanno

In many game-theoretic settings, agents are challenged with taking decisions against the uncertain behavior exhibited by others. Often, this uncertainty arises from multiple sources, e.g., incomplete information, limited computation,…

计算机科学与博弈论 · 计算机科学 2025-07-22 Nicolas Lanzetti , Sylvain Fricker , Saverio Bolognani , Florian Dörfler , Dario Paccagnan

This paper studies mechanism design for revenue maximization in a distribution-reporting setting, where the auctioneer does not know the buyers' true value distributions. Instead, each buyer reports and commits to a bid distribution in the…

计算机科学与博弈论 · 计算机科学 2025-07-08 Xiaotie Deng , Yanru Guan , Ningyuan Li , Zihe Wang , Jie Zhang

In performative stochastic optimization, decisions can influence the distribution of random parameters, rendering the data-generating process itself decision-dependent. In practice, decision-makers rarely have access to the true…

最优化与控制 · 数学 2025-10-27 Zhuangzhuang Jia , Yijie Wang , Roy Dong , Grani A. Hanasusanto

In this paper, we study two optimisation settings for an insurance company, under the constraint that the terminal surplus at a deterministic and finite time $T$ follows a normal distribution with a given mean and a given variance. In both…

数理金融 · 定量金融 2022-06-13 Katia Colaneri , Julia Eisenberg , Benedetta Salterini

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

最优化与控制 · 数学 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

In markets for online advertising, some advertisers pay only when users respond to ads. So publishers estimate ad response rates and multiply by advertiser bids to estimate expected revenue for showing ads. Since these estimates may be…

计算机科学与博弈论 · 计算机科学 2015-06-08 Ragavendran Gopalakrishnan , Eric Bax , Krishna Prasad Chitrapura , Sachin Garg

There has been much recent work on the revenue-raising properties of truthful mechanisms for selling goods to selfish bidders. Typically the revenue of a mechanism is compared against a benchmark (such as, the maximum revenue obtainable by…

计算机科学与博弈论 · 计算机科学 2013-01-14 Paul W. Goldberg , Carmine Ventre

This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider realistic situations where the physical model, and thereby the…

最优化与控制 · 数学 2025-07-30 Charles Dapogny , Julien Prando , Boris Thibert

We consider a novel pricing and advertising framework, where a seller not only sets product price but also designs flexible 'advertising schemes' to influence customers' valuation of the product. We impose no structural restriction on the…

计算机科学与博弈论 · 计算机科学 2024-12-12 Shipra Agrawal , Yiding Feng , Wei Tang

We consider a model where an agent has a repeated decision to make and wishes to maximize their total payoff. Payoffs are influenced by an action taken by the agent, but also an unknown state of the world that evolves over time. Before…

计算机科学与博弈论 · 计算机科学 2021-01-20 Nicole Immorlica , Ian Kash , Brendan Lucier

A recent line of research has established a novel desideratum for designing approximately-revenue-optimal multi-item mechanisms, namely the buy-many constraint. Under this constraint, prices for different allocations made by the mechanism…

计算机科学与博弈论 · 计算机科学 2024-05-17 Shuchi Chawla , Rojin Rezvan , Yifeng Teng , Christos Tzamos

Bundling, the practice of jointly selling two or more products at a discount, is a widely used strategy in industry and a well examined concept in academia. Historically, the focus has been on theoretical studies in the context of…

机器学习 · 计算机科学 2020-02-04 Madhav Kumar , Dean Eckles , Sinan Aral

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

机器学习 · 统计学 2020-07-21 John Duchi , Hongseok Namkoong

We efficiently solve the optimal multi-dimensional mechanism design problem for independent bidders with arbitrary demand constraints when either the number of bidders is a constant or the number of items is a constant. In the first…

计算机科学与博弈论 · 计算机科学 2011-12-20 Constantinos Daskalakis , S. Matthew Weinberg

We analyze how uncertain technologies should be robustly regulated and how regulation should evolve with new information. An adaptive sandbox comprising a zero marginal tax up to an evolving quantity limit is (i) robust: it delivers optimal…

理论经济学 · 经济学 2025-11-10 Andrew Koh , Sivakorn Sanguanmoo

This paper expands the work on distributionally robust newsvendor to incorporate moment constraints. The use of Wasserstein distance as the ambiguity measure is preserved. The infinite dimensional primal problem is formulated; problem of…

数理金融 · 定量金融 2020-11-02 Derek Singh , Shuzhong Zhang

A decision maker is choosing between an active action (e.g., purchase a house, invest certain stock) and a passive action. The payoff of the active action depends on the buyer's private type and also an unknown state of nature. An…

计算机科学与博弈论 · 计算机科学 2021-10-29 Shuze Liu , Weiran Shen , Haifeng Xu