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This paper develops a distributed Nash Equilibrium seeking algorithm for heterogeneous multi-robot systems. The algorithm utilises distributed optimisation and output control to achieve the Nash equilibrium by leveraging information shared…

Robotics · Computer Science 2025-09-22 Yi Dong , Zhongguo Li , Sarvapali D. Ramchurn , Xiaowei Huang

We consider the problem of repeatedly allocating multiple shareable public goods that have limited availability in an online setting without the use of money. In our setting, agents have additive values, and the value each agent receives…

Computer Science and Game Theory · Computer Science 2025-11-10 Chido Onyeze , David X. Lin , Siddhartha Banerjee , Éva Tardos

We study fair allocation of indivisible public goods subject to cardinality (budget) constraints. In this model, we have n agents and m available public goods, and we want to select $k \leq m$ goods in a fair and efficient manner. We first…

Computer Science and Game Theory · Computer Science 2021-07-22 Jugal Garg , Pooja Kulkarni , Aniket Murhekar

This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-16 Ziqin Chen , Ji Ma , Shu Liang , Li Li

We study the problem of fairly allocating a set of indivisible goods among agents with {\em bivalued submodular valuations} -- each good provides a marginal gain of either $a$ or $b$ ($a < b$) and goods have decreasing marginal gains. This…

Computer Science and Game Theory · Computer Science 2023-07-21 Cyrus Cousins , Vignesh Viswanathan , Yair Zick

We study the problem of fairly allocating indivisible goods to agents with weights corresponding to their entitlements. Previous work has shown that, when agents have binary additive valuations, the maximum weighted Nash welfare rule is…

Theoretical Economics · Economics 2023-10-10 Warut Suksompong , Nicholas Teh

Allocating items in a fair and economically efficient manner is a central problem in fair division. We study this problem for agents with additive preferences, when items are all goods or all chores, divisible or indivisible. The celebrated…

Computer Science and Game Theory · Computer Science 2026-02-13 Owen Eckart , Alexandros Psomas , Paritosh Verma

Coordination is a desirable feature in multi-agent systems, allowing the execution of tasks that would be impossible by individual agents. We study coordination by a team of strategic agents choosing to undertake one of the multiple tasks.…

Systems and Control · Electrical Eng. & Systems 2022-12-22 Yi Wei , Marcos M. Vasconcelos

We study an online version of the max-min fair allocation problem for indivisible items. In this problem, items arrive one by one, and each item must be allocated irrevocably on arrival to one of $n$ agents, who have additive valuations for…

Computer Science and Game Theory · Computer Science 2021-11-16 Yasushi Kawase , Hanna Sumita

We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

Optimization and Control · Mathematics 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

In this paper we study resource allocation in decentralized information local public good networks. A network is a local public good network if each user's actions directly affect the utility of an arbitrary subset of network users. We…

Computer Science and Game Theory · Computer Science 2012-08-03 Shrutivandana Sharma , Demosthenis Teneketzis

Competitive non-cooperative online decision-making agents whose actions increase congestion of scarce resources constitute a model for widespread modern large-scale applications. To ensure sustainable resource behavior, we introduce a novel…

Optimization and Control · Mathematics 2020-10-22 Ezra Tampubolon , Holger Boche

In an online fair allocation problem, a sequence of indivisible items arrives online and needs to be allocated to offline agents immediately and irrevocably. In our paper, we study the online allocation of either goods or chores. We employ…

Computer Science and Game Theory · Computer Science 2025-09-10 Yuanyuan Wang , Tianze Wei

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 present a recommender system based on the Random Utility Model. Online shoppers are modeled as rational decision makers with limited information, and the recommendation task is formulated as the problem of optimally enriching the…

Computer Science and Game Theory · Computer Science 2024-09-24 Benjamin Heymann , Flavian Vasile , David Rohde

We study the problem of allocating $T$ sequentially arriving items among $n$ homogeneous agents under the constraint that each agent must receive a pre-specified fraction of all items, with the objective of maximizing the agents' total…

Computer Science and Game Theory · Computer Science 2022-09-27 Steven Yin , Shipra Agrawal , Assaf Zeevi

Nash equilibrium is a common solution concept that captures strategic interaction in electricity market analysis. However, it requires a fundamental but impractical assumption that all market participants are fully rational, implying…

Computer Science and Game Theory · Computer Science 2024-07-15 Lihui Yi , Ermin Wei

Simultaneously information and power transfer in mobile relay networks have recently emerged, where the relay can harvest the radio frequency (RF) energy and then use this energy for data forwarding and system operation. Most of the…

Information Theory · Computer Science 2016-11-15 Zijie Zheng , Lingyang Song , Dusit Niyato , Zhu Han

Recently Bramoulle and Kranton presented a model for the provision of public goods over a network and showed the existence of a class of Nash equilibria called specialized equilibria wherein some agents exert maximum effort while other…

Computer Science and Game Theory · Computer Science 2022-01-25 Parthe Pandit , Ankur A. Kulkarni

We consider the allocation of limited resources to heterogeneous customers who arrive in an online fashion. We would like to allocate the resources "fairly", so that no group of customers is marginalized in terms of their overall service…

Data Structures and Algorithms · Computer Science 2021-05-24 Will Ma , Pan Xu , Yifan Xu