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We study the problem of approximate social welfare maximization (without money) in one-sided matching problems when agents have unrestricted cardinal preferences over a finite set of items. Random priority is a very well-known…

Computer Science and Game Theory · Computer Science 2014-05-07 Aris Filos-Ratsikas , Søren Kristoffer Stiil Frederiksen , Jie Zhang

We study fair allocation of indivisible goods among agents. Prior research focuses on additive agent preferences, which leads to an impossibility when seeking truthfulness, fairness, and efficiency. We show that when agents have binary…

Computer Science and Game Theory · Computer Science 2020-10-01 Daniel Halpern , Ariel D. Procaccia , Alexandros Psomas , Nisarg Shah

Research on promoting cooperation among autonomous, self-regarding agents has often focused on the bi-objective optimisation problem: minimising the total incentive cost while maximising the frequency of cooperation. However, the optimal…

We consider the design of mechanisms that allocate limited resources among self-interested agents using neural networks. Unlike the recent works that leverage machine learning for revenue maximization in auctions, we consider welfare…

Computer Science and Game Theory · Computer Science 2024-08-15 Sihan Zeng , Sujay Bhatt , Eleonora Kreacic , Parisa Hassanzadeh , Alec Koppel , Sumitra Ganesh

Allocating multiple scarce items across a set of individuals is an important practical problem. In the case of divisible goods and additive preferences a convex program can be used to find the solution that maximizes Nash welfare (MNW). The…

Computer Science and Game Theory · Computer Science 2019-09-25 Christian Kroer , Alexander Peysakhovich

We analyze the run-time complexity of computing allocations that are both fair and maximize the utilitarian social welfare, defined as the sum of agents' utilities. We focus on two tractable fairness concepts: envy-freeness up to one item…

Computer Science and Game Theory · Computer Science 2024-09-23 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

We investigate the approximability of several classes of real-valued functions by functions of a small number of variables ({\em juntas}). Our main results are tight bounds on the number of variables required to approximate a function…

Data Structures and Algorithms · Computer Science 2015-03-31 Vitaly Feldman , Jan Vondrak

In load balancing problems there is a set of clients, each wishing to select a resource from a set of permissible ones, in order to execute a certain task. Each resource has a latency function, which depends on its workload, and a client's…

Computer Science and Game Theory · Computer Science 2021-05-06 Vittorio Bilò , Gianpiero Monaco , Luca Moscardelli , Cosimo Vinci

We study incentive-compatible mechanisms that maximize the Nash Social Welfare. Since traditional incentive-compatible mechanisms cannot maximize the Nash Social Welfare even approximately, we propose changing the traditional model.…

Computer Science and Game Theory · Computer Science 2024-02-23 Shahar Dobzinski , Sigal Oren , Jan Vondrak

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 obtain essentially tight upper bounds for a strengthened notion of regret in the stochastic linear bandits framework. The strengthening -- referred to as Nash regret -- is defined as the difference between the (a priori unknown) optimum…

Machine Learning · Computer Science 2023-10-04 Ayush Sawarni , Soumybrata Pal , Siddharth Barman

Community detection using both graphs and social networks is the focus of many algorithms. Recent methods aimed at optimizing the so-called modularity function proceed by maximizing relations within communities while minimizing…

Social and Information Networks · Computer Science 2014-06-27 Michel Crampes , Michel Plantié

We study a type of reverse (procurement) auction problems in the presence of budget constraints. The general algorithmic problem is to purchase a set of resources, which come at a cost, so as not to exceed a given budget and at the same…

Computer Science and Game Theory · Computer Science 2016-10-05 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

A number of goods are called identical if they provide the same level of utility to each agent. In various real-world instances of fair division scenarios, identical indivisible items are allocated to consumers and demandants with different…

Optimization and Control · Mathematics 2026-05-28 Manouchehr Zaker

We study the problem of allocating a set of indivisible goods among a set of agents in a fair and efficient manner. An allocation is said to be fair if it is envy-free up to one good (EF1), which means that each agent prefers its own bundle…

Computer Science and Game Theory · Computer Science 2018-05-14 Siddharth Barman , Sanath Kumar Krishnamurthy , Rohit Vaish

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

This paper is about allocation of an infinitely divisible good to several rational and strategic agents. The allocation is done by a social planner who has limited information because the agents' valuation functions are taken to be private…

Computer Science and Game Theory · Computer Science 2017-05-05 D. Thirumulanathan , H. Vinay , Srikrishna Bhashyam , Rajesh Sundaresan

We examine the complexity of computing welfare- and revenue-maximizing equilibria in autobidding second-price auctions subject to return-on-spend (RoS) constraints. We show that computing an autobidding equilibrium that approximates the…

Computer Science and Game Theory · Computer Science 2026-02-11 Ioannis Anagnostides , Ian Gemp , Georgios Piliouras , Kelly Spendlove

Perpetual voting studies fair collective decision-making in settings where many decisions are to be made, and is a natural framework for settings such as parliaments and the running of blockchain Decentralized Autonomous Organizations…

Computer Science and Game Theory · Computer Science 2024-08-19 Yotam Gafni , Ben Golan

The fair allocation of mixed goods, consisting of both divisible and indivisible goods, has been a prominent topic of study in economics and computer science. We define an allocation as fair if its utility vector minimizes a symmetric…

Computer Science and Game Theory · Computer Science 2024-07-10 Yasushi Kawase , Koichi Nishimura , Hanna Sumita