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We present a fully-distributed algorithm for Nash equilibrium seeking in aggregative games over networks. The proposed scheme endows each agent with a gradient-based scheme equipped with a tracking mechanism to locally reconstruct the…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Guido Carnevale , Filippo Fabiani , Filiberto Fele , Kostas Margellos , Giuseppe Notarstefano

We present our results on Uniform Price Auctions, one of the standard sealed-bid multi-unit auction formats, for selling multiple identical units of a single good to multi-demand bidders. Contrary to the truthful and economically efficient…

Computer Science and Game Theory · Computer Science 2013-06-20 Evangelos Markakis , Orestis Telelis

The optimal offloading of tasks in heterogeneous edge-computing scenarios is of great practical interest, both in the selfish and fully cooperative setting. In practice, such systems are typically very large, rendering exact solutions in…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-09 Kai Cui , Mustafa Burak Yilmaz , Anam Tahir , Anja Klein , Heinz Koeppl

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

This paper expands on the concepts presented in Applying the Nash Bargaining Solution for a Reasonable Royalty ( arXiv:2005.10158 ). The goal is to refine the process for determining a reasonable royalty using statistical methods in cases…

General Finance · Quantitative Finance 2024-07-23 David M. Kryskowski , David Kryskowski

Networks with phase-valued nodal variables are central in modeling several important societal and physical systems, including power grids, biological systems, and coupled oscillator networks. One of the distinctive features of phase-valued…

Optimization and Control · Mathematics 2020-09-15 Saber Jafarpour , Elizabeth Y. Huang , Kevin D. Smith , Francesco Bullo

Consider costly and time-consuming tasks that add up to the success of a project, and must be fitted into a given time-frame. This is an instance of the classic budgeted maximization (knapsack) problem, which admits an FPTAS. Now assume an…

Computer Science and Game Theory · Computer Science 2026-04-10 Ilan Doron-Arad , Hadas Shachnai , Gilad Shmerler , Inbal Talgam-Cohen

Most industry-standard generative AIs and feature encoders are proprietary, offering only black-box access: their outputs are observable, but their internal parameters and architectures remain hidden from the end-user. This black-box access…

Machine Learning · Computer Science 2025-05-02 Xuwei Yang , Fatemeh Tavakoli , David B. Emerson , Anastasis Kratsios

This article presents a detailed technical framework for modeling with Bertrand-Nash equilibrium prices under Mixed Logit demand. Two coercive fixed-point equations provide more stable computational methods than those obtained from the…

Numerical Analysis · Mathematics 2010-12-30 W. Ross Morrow , Steven J. Skerlos

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

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with merely monotone and restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method…

Optimization and Control · Mathematics 2025-07-18 Tatiana Tatarenko , Angelia Nedich

We study the problem of allocating indivisible resources under the connectivity constraints of a graph $G$. This model, initially introduced by Bouveret et al. (published in IJCAI, 2017), effectively encompasses a diverse array of scenarios…

Computer Science and Game Theory · Computer Science 2024-08-27 Halvard Hummel , Ayumi Igarashi

In bandwidth allocation, competing agents wish to transmit data along paths of links in a network, and each agent's utility is equal to the minimum bandwidth she receives among all links in her desired path. Recent market mechanisms for…

Computer Science and Game Theory · Computer Science 2019-05-08 Benjamin Plaut

We propose a unifying framework for smoothed analysis of combinatorial local optimization problems, and show how a diverse selection of problems within the complexity class PLS can be cast within this model. This abstraction allows us to…

Computational Complexity · Computer Science 2025-09-24 Yiannis Giannakopoulos , Alexander Grosz , Themistoklis Melissourgos

The decision making and management of many engineering networks involves multiple parties with conflicting interests, while each party is constituted with multiple agents. Such problems can be casted as a multi-cluster game. Each cluster is…

Computer Science and Game Theory · Computer Science 2022-05-25 Yue Chen , Peng Yi

The note considers the problem of computing pure Nash equilibrium (NE) strategies in distributed (i.e., network-based) settings. The paper studies a class of inertial best response dynamics based on the fictitious play (FP) algorithm. It is…

Systems and Control · Computer Science 2018-04-04 Brian Swenson , Ceyhun Eksin , Soummya Kar , Alejandro Ribeiro

In this paper, we consider the problem of finding a Nash equilibrium in a multi-player game over generally connected networks. This model differs from a conventional setting in that players have partial information on the actions of their…

Optimization and Control · Mathematics 2019-12-10 Farzad Salehisadaghiani , Wei Shi , Lacra Pavel

Backward compatibility is an essential ingredient for the success of new technologies. In the context of in-band full-duplex (FD) communication, FD base stations (BSs) should support half-duplex (HD) users' equipment (UEs) without…

Information Theory · Computer Science 2016-04-21 Ahmad AlAmmouri , Hesham ElSawy , Mohamed-Slim Alouini

This paper proposes and analyzes two neural network methods to solve the master equation for finite-state mean field games (MFGs). Solving MFGs provides approximate Nash equilibria for stochastic, differential games with finite but large…

Optimization and Control · Mathematics 2024-12-24 Asaf Cohen , Mathieu Laurière , Ethan Zell

We develop a joint offloading and resource allocation framework for a multi-layer cooperative fog computing network, aiming to minimize the total energy consumption of multiple mobile devices subject to their service delay requirements. The…

Networking and Internet Architecture · Computer Science 2020-08-25 Thai T. Vu , Diep N. Nguyen , Dinh Thai Hoang , Eryk Dutkiewicz , Thuy V. Nguyen