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We consider the problem of allocating a set of divisible goods to $N$ agents in an online manner, aiming to maximize the Nash social welfare, a widely studied objective which provides a balance between fairness and efficiency. The goods…

Computer Science and Game Theory · Computer Science 2021-08-04 Siddhartha Banerjee , Vasilis Gkatzelis , Artur Gorokh , Billy Jin

Adiabatic quantum computing is implemented on specialized hardware using the heuristics of the quantum annealing algorithm. This setup requires the addressed problems to be formatted as discrete quadratic functions without constraints and…

Computer Science and Game Theory · Computer Science 2024-01-23 Olga Okrut , Keith Cannon , Kareem H. El-Safty , Nada Elsokkary , Faisal Shah Khan

In this paper, we consider a Nash equilibrium seeking problem for a class of high-order multi-agent systems with unknown dynamics. Different from existing results for single integrators, we aim to steer the outputs of this class of…

Systems and Control · Electrical Eng. & Systems 2021-01-11 Yutao Tang , Peng Yi

We suggest a model of a multi-agent society of decision makers taking decisions being based on two criteria, one is the utility of the prospects and the other is the attractiveness of the considered prospects. The model is the…

Physics and Society · Physics 2018-01-17 V. I. Yukalov , E. P. Yukalova , D. Sornette

Game-theoretic analyses of distributed and peer-to-peer systems typically use the Nash equilibrium solution concept, but this explicitly excludes the possibility of strategic behavior involving more than one agent. We examine the effects of…

Computer Science and Game Theory · Computer Science 2015-05-13 Ian A. Kash , Eric J. Friedman , Joseph Y. Halpern

We consider the problem of estimating preferences of human agents from data of strategic systems where the agents repeatedly interact. Recently, it was demonstrated that a new estimation method called "quantal regret" produces more accurate…

Computer Science and Game Theory · Computer Science 2022-01-03 Gali Noti

In a two-round auction, a subset of bidders is selected (probabilistically), according to their bids in the first round, for the second round, where they can increase their bids. We formalize the two-round auction model, restricting the…

Computer Science and Game Theory · Computer Science 2023-12-08 Chulong Zhong , Xiang Yan , Yuyi Wang , Shuangping Huang , Jin Zhong

We investigate both stationary and time-varying, nonmonotone generalized Nash equilibrium problems that exhibit symmetric interactions among the agents, which are known to be potential. As may happen in practical cases, however, we envision…

Optimization and Control · Mathematics 2024-07-09 Filippo Fabiani , Andrea Simonetto , Paul J. Goulart

Quantum computing promises transformative advances, but remains constrained by recurring misconceptions and methodological pitfalls. This paper demonstrates a fundamental incompatibility between traditional agent-based modeling (ABM)…

To achieve an optimal outcome in many situations, agents need to choose distinct actions from one another. This is the case notably in many resource allocation problems, where a single resource can only be used by one agent at a time. How…

Computer Science and Game Theory · Computer Science 2014-02-05 Ludek Cigler , Boi Faltings

Selecting influentials in networks against strategic manipulations has attracted many researchers' attention and it also has many practical applications. Here, we aim to select one or two influentials in terms of progeny (the influential…

Computer Science and Game Theory · Computer Science 2023-06-14 Yuxin Zhao , Yao Zhang , Dengji Zhao

Reinforcement learning has been shown to be an effective strategy for automatically training policies for challenging control problems. Focusing on non-cooperative multi-agent systems, we propose a novel reinforcement learning framework for…

Computer Science and Game Theory · Computer Science 2022-06-08 Kishor Jothimurugan , Suguman Bansal , Osbert Bastani , Rajeev Alur

We develop a game-theoretic framework for predicting and steering the behavior of populations of large language models (LLMs) through Nash equilibrium (NE) analysis. To avoid the intractability of equilibrium computation in open-ended text…

Artificial Intelligence · Computer Science 2026-02-09 Tonghan Wang , Yuqi Pan , Xinyi Yang , Yanchen Jiang , Milind Tambe , David C. Parkes

Complex scheduling problems require a large amount computation power and innovative solution methods. The objective of this paper is the conception and implementation of a multi-agent system that is applicable in various problem domains.…

Multiagent Systems · Computer Science 2020-04-21 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

The use of reinforcement learning algorithms in financial trading is becoming increasingly prevalent. However, the autonomous nature of these algorithms can lead to unexpected outcomes that deviate from traditional game-theoretical…

Trading and Market Microstructure · Quantitative Finance 2026-02-16 Fabrizio Lillo , Andrea Macrì

Athey and Segal introduced an efficient budget-balanced mechanism for a dynamic stochastic model with quasilinear payoffs and private values, using the solution concept of perfect Bayesian equilibrium. We show that this implementation is…

Theoretical Economics · Economics 2022-06-28 Endre Csóka

This paper proposes a double-layered framework (or form of network) to integrate two mechanisms, termed consensus and conservation, achieving distributed solution of a linear equation. The multi-agent framework considered in the paper is…

Systems and Control · Computer Science 2017-11-30 Xuan Wang , Shaoshuai Mou , Brian. D. O. Anderson

Whether winning blackjack or navigating busy streets, achieving desired outcomes requires agents to execute adaptive strategies, strategies where actions depend contextually on past events. In complexity science, this motivates memory as an…

Quantum Physics · Physics 2025-08-12 Spiros Kechrimparis , Nix Barnett , Mile Gu , Hyukjoon Kwon

We study a mechanism design problem where a community of agents wishes to fund public projects via voluntary monetary contributions by the community members. This serves as a model for public expenditure without an exogenously available…

Computer Science and Game Theory · Computer Science 2022-03-09 Florian Brandl , Felix Brandt , Matthias Greger , Dominik Peters , Christian Stricker , Warut Suksompong

Traditional multi-agent reinforcement learning algorithms are not scalable to environments with more than a few agents, since these algorithms are exponential in the number of agents. Recent research has introduced successful methods to…

Multiagent Systems · Computer Science 2021-01-26 Sriram Ganapathi Subramanian , Matthew E. Taylor , Mark Crowley , Pascal Poupart