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We prove that no online algorithm (even randomized, against an oblivious adversary) is better than 1/2-competitive for welfare maximization with coverage valuations, unless $NP = RP$. Since the Greedy algorithm is known to be…

Data Structures and Algorithms · Computer Science 2013-01-31 Michael Kapralov , Ian Post , Jan Vondrak

Machine Learning (ML) algorithms shape our lives. Banks use them to determine if we are good borrowers; IT companies delegate them recruitment decisions; police apply ML for crime-prediction, and judges base their verdicts on ML. However,…

Computer Science and Game Theory · Computer Science 2021-01-05 Omer Ben-Porat , Fedor Sandomirskiy , Moshe Tennenholtz

We introduce a general approach based on \emph{selective verification} and obtain approximate mechanisms without money for maximizing the social welfare in the general domain of utilitarian voting. Having a good allocation in mind, a…

Computer Science and Game Theory · Computer Science 2015-07-10 Dimitris Fotakis , Christos Tzamos , Emmanouil Zampetakis

We consider item allocation to individual agents who have additive valuations, in settings in which there are protected groups, and the allocation needs to give each protected group its "fair" share of the total welfare. Informally, within…

Computer Science and Game Theory · Computer Science 2022-04-15 Uriel Feige , Yehonatan Tahan

Fair division is typically framed from a centralized perspective. However, in practice resource allocation often occurs via decentralized networks. We study a decentralized variant of fair division inspired by altruistic dynamics observed…

Computer Science and Game Theory · Computer Science 2026-03-02 Joel Miller , Rishi Advani , Ian Kash , Chris Kanich , Lenore Zuck

We study online fair allocation of $T$ sequentially arriving items among $n$ agents with heterogeneous preferences, with the objective of maximizing generalized-mean welfare, defined as the $p$-mean of agents' time-averaged utilities, with…

Computer Science and Game Theory · Computer Science 2026-02-12 Zongjun Yang , Rachitesh Kumar , Christian Kroer

We study the problem of selection in the context of Bayesian persuasion. We are given multiple agents with hidden values (or quality scores), to whom resources must be allocated by a welfare-maximizing decision-maker. An intermediary with…

Computer Science and Game Theory · Computer Science 2025-11-18 Yannan Bai , Kamesh Munagala , Yiheng Shen , Davidson Zhu

Bounded rationality in mechanism design aims to ensure incentive-compatibility for agents who are cognitively limited. These agents lack the contingent reasoning skills that traditional mechanism design assumes, and depending on how these…

Computer Science and Game Theory · Computer Science 2024-02-14 Thomas Archbold , Bart de Keijzer , Carmine Ventre

We study mechanism design for combinatorial cost sharing. Imagine that multiple items or services are available to be shared among a set of interested agents. The outcome of a mechanism in this setting consists of an assignment, determining…

Computer Science and Game Theory · Computer Science 2019-10-16 Georgios Birmpas , Evangelos Markakis , Guido Schäfer

We study fair multi-objective reinforcement learning in which an agent must learn a policy that simultaneously achieves high reward on multiple dimensions of a vector-valued reward. Motivated by the fair resource allocation literature, we…

Computer Science and Game Theory · Computer Science 2024-02-09 Zimeng Fan , Nianli Peng , Muhang Tian , Brandon Fain

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…

Computer Science and Game Theory · Computer Science 2017-02-23 Amy Greenwald , Takehiro Oyakawa , Vasilis Syrgkanis

Although the specific structures of electricity markets are diverse around the world, they were all conceived on the premise of predictable, controllable generation with nonnegligible marginal costs. Recent changes, specifically, the…

Computer Science and Game Theory · Computer Science 2020-12-10 Orcun Karaca

In frequently repeated matching scenarios, individuals may require diversification in their choices. Therefore, when faced with a set of potential outcomes, each individual may have an ideal lottery over outcomes that represents their…

Computer Science and Game Theory · Computer Science 2024-04-29 Rasoul Ramezanian

The algorithmic fairness of predictive analytic tools in the public sector has increasingly become a topic of rigorous exploration. While instruments pertaining to criminal recidivism and academic admissions, for example, have garnered much…

Machine Learning · Computer Science 2020-10-26 Jordan Purdy , Brian Glass

In this report we construct two mechanisms that fully implement social welfare maximising allocation in Nash equilibria for the case of a single infinitely divisible good subject to multiple inequality constraints. The first mechanism…

Computer Science and Game Theory · Computer Science 2014-02-06 Abhinav Sinha , Achilleas Anastasopoulos

We study the problem of allocating multiple types of resources to agents with Leontief preferences. The classic Dominant Resource Fairness (DRF) mechanism satisfies several desired fairness and incentive properties, but is known to have…

Computer Science and Game Theory · Computer Science 2022-10-12 Xiaohui Bei , Zihao Li , Junjie Luo

General first order methods (GFOMs), including various gradient descent and AMP algorithms, constitute a broad class of iterative algorithms in modern statistical learning problems. Some GFOMs also serve as constructive proof devices,…

Statistics Theory · Mathematics 2025-05-30 Qiyang Han

A combinatorial market consists of a set of indivisible items and a set of agents, where each agent has a valuation function that specifies for each subset of items its value for the given agent. From an optimization point of view, the goal…

Computer Science and Game Theory · Computer Science 2023-01-05 Kristóf Bérczi , Laura Codazzi , Julian Golak , Alexander Grigoriev

Mechanisms such as auctions and pricing schemes are utilized to design strategic (noncooperative) games for networked systems. Although the participating players are selfish, these mechanisms ensure that the game outcome is optimal with…

Computer Science and Game Theory · Computer Science 2010-09-03 Tansu Alpcan , Holger Boche , Siddharth Naik

Fair allocation of indivisible goods studies allocating $m$ goods among $n$ agents in a fair manner. While fairness is a fundamental requirement in many real-world applications, it often conflicts with (economic) efficiency. This raises a…

Computer Science and Game Theory · Computer Science 2025-06-03 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao
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