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We consider the task of assigning indivisible goods to a set of agents in a fair manner. Our notion of fairness is Nash social welfare, i.e., the goal is to maximize the geometric mean of the utilities of the agents. Each good comes in…

Data Structures and Algorithms · Computer Science 2019-05-13 Bhaskar Chaudhury , Yun Kuen Cheung , Jugal Garg , Naveen Garg , Martin Hoefer , Kurt Mehlhorn

We study optimal equilibria in multi-player games. An equilibrium is optimal for a player, if her payoff is maximal. A tempting approach to solving this problem is to seek optimal Nash equilibria, the standard form of equilibria where no…

Computer Science and Game Theory · Computer Science 2013-07-09 Anshul Gupta , Sven Schewe

We study allocation problems with reserve systems under minimum beneficiary-share guarantees, requirements that targeted matches constitute at least a specified percentage of total matches. While such mandates promote targeted matches, they…

Theoretical Economics · Economics 2025-11-26 Yuan Gao , Xi Jin , Manshu Khanna

Allocation of dynamically-arriving (i.e., online) divisible resources among a set of offline agents is a fundamental problem, with applications to online marketplaces, scheduling, portfolio selection, signal processing, and many other…

Data Structures and Algorithms · Computer Science 2026-03-31 Siddhartha Banerjee , Ramiro N. Deo-Campo Vuong , Robert Kleinberg

We study fair allocation of resources consisting of both divisible and indivisible goods to agents with additive valuations. When only divisible or indivisible goods exist, it is known that an allocation that achieves the maximum Nash…

Computer Science and Game Theory · Computer Science 2025-09-03 Koichi Nishimura , Hanna Sumita

In the allocation of indivisible goods, the maximum Nash welfare (MNW) rule, which chooses an allocation maximizing the product of the agents' utilities, has received substantial attention for its fairness. We characterize MNW as the only…

Theoretical Economics · Economics 2022-12-20 Warut Suksompong

A multi-agent system (MAS) enhances its capacity to solve complex natural language processing (NLP) tasks through collaboration among multiple agents, where consensus-seeking serves as a fundamental mechanism. However, existing…

Artificial Intelligence · Computer Science 2025-10-09 Wentao Deng , Jiahuan Pei , Zhiwei Xu , Zhaochun Ren , Zhumin Chen , Pengjie Ren

Recommender systems play an increasingly crucial role in shaping people's opportunities, particularly in online dating platforms. It is essential from the user's perspective to increase the probability of matching with a suitable partner…

Information Retrieval · Computer Science 2024-09-04 Yoji Tomita , Tomohiki Yokoyama

This paper extends the framework of partially observable Markov decision processes (POMDPs) to multi-agent settings by incorporating the notion of agent models into the state space. Agents maintain beliefs over physical states of the…

Artificial Intelligence · Computer Science 2011-09-13 P. Doshi , P. J. Gmytrasiewicz

The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

Artificial Intelligence · Computer Science 2021-10-15 Gabriel-Claudiu Grama

We study the problem of fair allocation of indivisible goods for subadditive agents. While constant-\textsf{MMS} bounds have been given for additive and fractionally subadditive agents, the best existential bound for the case of subadditive…

Computer Science and Game Theory · Computer Science 2025-06-09 Masoud Seddighin , Saeed Seddighin

A Nash Equilibrium (NE) is a strategy profile resilient to unilateral deviations, and is predominantly used in the analysis of multiagent systems. A downside of NE is that it is not necessarily stable against deviations by coalitions. Yet,…

Computer Science and Game Theory · Computer Science 2014-01-16 Michal Feldman , Tami Tamir

We study a multi-agent contracting problem where agents exert costly effort to achieve individually observable binary outcomes. While the principal can theoretically extract the full social welfare using a discriminatory contract that…

Computer Science and Game Theory · Computer Science 2026-02-13 Johannes Brustle , Paul Duetting , Stefano Leonardi , Tomasz Ponitka , Matteo Russo

We study the online multi-class selection problem with group fairness guarantees, where limited resources must be allocated to sequentially arriving agents. Our work addresses two key limitations in the existing literature. First, we…

Machine Learning · Computer Science 2025-10-27 Faraz Zargari , Hossein Nekouyan , Lyndon Hallett , Bo Sun , Xiaoqi Tan

Algorithms with predictions is a recent framework for decision-making under uncertainty that leverages the power of machine-learned predictions without making any assumption about their quality. The goal in this framework is for algorithms…

Machine Learning · Computer Science 2025-01-22 Eric Balkanski , Will Ma , Andreas Maggiori

The property of proportional representation in approval-based committee elections has appeared in the social choice literature for over a century, and is typically understood as avoiding the underrepresentation of minorities. However, we…

Data Structures and Algorithms · Computer Science 2021-09-14 Alfonso Cevallos , Alistair Stewart

Max-min fairness (MMF) is a widely known approach to a fair allocation of bandwidth to each of the users in a network. This allocation can be computed by uniformly raising the bandwidths of all users without violating capacity constraints.…

Networking and Internet Architecture · Computer Science 2014-01-15 Tobias Harks , Martin Hoefer , Kevin Schewior , Alexander Skopalik

In this work, we investigate the distributed generalized Nash equilibrium (GNE) seeking problems for $N$-coalition games with inequality constraints. First, we study the scenario where each agent in a coalition has full information of all…

Optimization and Control · Mathematics 2021-09-28 Chao Sun , Guoqiang Hu

Matching algorithms are used routinely to match donors to recipients for solid organs transplantation, for the assignment of medical residents to hospitals, record linkage in databases, scheduling jobs on machines, network switching, online…

Data Structures and Algorithms · Computer Science 2020-01-09 David García-Soriano , Francesco Bonchi

We study the problem of allocating indivisible goods among strategic agents. We focus on settings wherein monetary transfers are not available and each agent's private valuation is a submodular function with binary marginals, i.e., the…

Computer Science and Game Theory · Computer Science 2021-09-14 Siddharth Barman , Paritosh Verma