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We design an expected polynomial-time, truthful-in-expectation, (1-1/e)-approximation mechanism for welfare maximization in a fundamental class of combinatorial auctions. Our results apply to bidders with valuations that are m matroid rank…

Computer Science and Game Theory · Computer Science 2011-04-19 Shaddin Dughmi , Tim Roughgarden , Qiqi Yan

Feature attribution aims to explain the reasoning behind a black-box model's prediction by identifying the impact of each feature on the prediction. Recent work has extended feature attribution to interactions between multiple features.…

Machine Learning · Computer Science 2023-05-17 Yifan Jiang , Shane Steinert-Threlkeld

In online combinatorial allocation, agents arrive sequentially and items are allocated in an online manner. The algorithm designer only knows the distribution of each agent's valuation, while the actual realization of the valuation is…

Data Structures and Algorithms · Computer Science 2025-10-14 Enze Sun , Zhihao Gavin Tang , Yifan Wang

We consider repeated allocation of a shared resource via a non-monetary mechanism, wherein a single item must be allocated to one of multiple agents in each round. We assume that each agent has i.i.d. values for the item across rounds, and…

Computer Science and Game Theory · Computer Science 2025-11-07 David X. Lin , Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

We study the fair allocation of indivisible goods under cardinality constraints, where each agent must receive a bundle of fixed size. This models practical scenarios, such as assigning shifts or forming equally sized teams. Recently,…

Computer Science and Game Theory · Computer Science 2025-07-29 Alviona Mancho , Evangelos Markakis , Nicos Protopapas

We study a general allocation setting where agent valuations are concave additive. In this model, a collection of items must be uniquely distributed among a set of agents, where each agent-item pair has a specified utility. The objective is…

Data Structures and Algorithms · Computer Science 2022-03-15 Nathaniel Kell , Kevin Sun

This paper studies the optimal consumption under the addictive habit formation preference in markets with transaction costs and unbounded random endowments. To model the proportional transaction costs, we adopt the Kabanov's multi-asset…

Portfolio Management · Quantitative Finance 2016-07-26 Xiang Yu

In a combinatorial auction with item bidding, agents participate in multiple single-item second-price auctions at once. As some items might be substitutes, agents need to strategize in order to maximize their utilities. A number of results…

Computer Science and Game Theory · Computer Science 2017-04-17 Paul Dütting , Thomas Kesselheim

Status signaling drives human behavior and the allocation of scarce resources such as mating opportunities, yet the generative mechanisms governing how specific goods, signals, or behaviors acquire prestige remain a puzzle. Classical…

Multiagent Systems · Computer Science 2026-03-16 Logan Cross , Jordi Grau-Moya , William A. Cunningham , Alexander Sasha Vezhnevets , Joel Z. Leibo

This paper consider a highly general dissemination model that keeps track of the stochastic evolution of the distribution of wealth over a set of agents. There are two types of events: (i) units of wealth externally arrive, and (ii) units…

Probability · Mathematics 2022-07-12 K. M. D. Chan , M. R. H. Mandjes

Despite the importance of open-ended event forecasting for risk management, current LLM-based methods predominantly target only the most probable outcomes, neglecting the intrinsic uncertainty of real-world events. To bridge this gap, we…

Information Retrieval · Computer Science 2026-04-20 He Chang , Zhulin Tao , Lifang Yang , Xianglin Huang , Yunshan Ma

We study market mechanisms for allocating divisible goods to competing agents with quasilinear utilities. For \emph{linear} pricing (i.e., the cost of a good is proportional to the quantity purchased), the First Welfare Theorem states that…

Computer Science and Game Theory · Computer Science 2020-09-22 Ashish Goel , Benjamin Plaut

Combinatorial auctions (CA) are a well-studied area in algorithmic mechanism design. However, contrary to the standard model, empirical studies suggest that a bidder's valuation often does not depend solely on the goods assigned to him. For…

Computer Science and Game Theory · Computer Science 2015-10-01 Yun Kuen Cheung , Monika Henzinger , Martin Hoefer , Martin Starnberger

Attribution methods provide an insight into the decision-making process of machine learning models, especially deep neural networks, by assigning contribution scores to each individual feature. However, the attribution problem has not been…

Machine Learning · Computer Science 2023-02-28 Huiqi Deng , Na Zou , Mengnan Du , Weifu Chen , Guocan Feng , Xia Hu

In the combinatorial recommender systems, multiple items are fed to the user at one time in the result page, where the correlations among the items have impact on the user behavior. In this work, we model the combinatorial recommendation as…

Information Retrieval · Computer Science 2019-06-25 Fan Wang , Xiaomin Fang , Lihang Liu , Yaxue Chen , Jiucheng Tao , Zhiming Peng , Cihang Jin , Hao Tian

Optimal mechanisms have been provided in quite general multi-item settings, as long as each bidder's type distribution is given explicitly by listing every type in the support along with its associated probability. In the implicit setting,…

Computer Science and Game Theory · Computer Science 2015-03-09 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

In fair division applications, agents may have unequal entitlements reflecting their different contributions. Moreover, the contributions of agents may depend on the allocation itself. Previous fairness notions designed for agents with…

Computer Science and Game Theory · Computer Science 2023-01-31 Qishen Han , Biaoshuai Tao , Lirong Xia

The lack of cooperation can easily result in inequality among members of a society, which provides an increasing gap between individual incomes. To tackle this issue, we introduce an incentive mechanism based on individual strategies and…

Physics and Society · Physics 2025-01-24 Luo-Luo Jiang , Yi-Ming Li , Wen-Jing Li , Attila Szolnoki

We study the problem of allocating indivisible items on a path among agents. The objective is to find a fair and efficient allocation in which each agent's bundle forms a contiguous block on the line. We say that an instance is \emph{$(a,…

Computer Science and Game Theory · Computer Science 2025-01-14 Yasushi Kawase , Bodhayan Roy , Mohammad Azharuddin Sanpui

We study risk-free bidding strategies in combinatorial auctions with incomplete information. Specifically, what is the maximum profit that a complement-free (subadditive) bidder can guarantee in a multi-item combinatorial auction? Suppose…

Computer Science and Game Theory · Computer Science 2021-11-30 Vishnu V. Narayan , Gautam Rayaprolu , Adrian Vetta
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