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We propose a game theoretic approach to address the problem of searching for available parking spots in a parking lot and picking the ``optimal'' one to park. The approach exploits limited information provided by the parking lot, i.e., its…

Robotics · Computer Science 2020-05-13 Yutong Li , Nan Li , H. Eric Tseng , Suzhou Huang , Ilya Kolmanovsky , Anouck Girard , Dimitar Filev

This paper examines the convergence behaviour of simultaneous best-response dynamics in random potential games. We provide a theoretical result showing that, for two-player games with sufficiently many actions, the dynamics converge quickly…

Computer Science and Game Theory · Computer Science 2025-05-19 Galit Ashkenazi-Golan , Domenico Mergoni Cecchelli , Edward Plumb

The facility location problem is a well-known challenge in logistics that is proven to be NP-hard. In this paper we specifically simulate the geographical placement of facilities to provide adequate service to customers. Determining…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

Mobile base stations on board unmanned aerial vehicles (UAVs) promise to deliver connectivity to those areas where the terrestrial infrastructure is overloaded, damaged, or absent. A fundamental problem in this context involves determining…

Optimization and Control · Mathematics 2021-09-23 Daniel Romero , Pham Q. Viet , Geert Leus

Mobile networks are composed of many base stations and for each of them many parameters must be optimized to provide good services. Automatically and dynamically optimizing all these entities is challenging as they are sensitive to…

Machine Learning · Computer Science 2021-10-01 Maxime Bouton , Hasan Farooq , Julien Forgeat , Shruti Bothe , Meral Shirazipour , Per Karlsson

Nash equilibrium serves as a fundamental mathematical tool in economics and game theory. However, it classically assumes knowledge of player utilities, whereas economics generally regards preferences as more fundamental. To leverage…

Computer Science and Game Theory · Computer Science 2026-05-11 Ian Gemp , Crystal Qian , Marc Lanctot , Kate Larson

If a game has a unique Nash equilibrium, then this equilibrium is arguably the solution of the game from the refinement's literature point of view. However, it might be that for almost all initial conditions, all strategies in the support…

Computer Science and Game Theory · Computer Science 2012-11-26 Yannick Viossat

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

Optimization and Control · Mathematics 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

This paper investigates the location-based relay selection problem, where the source node chooses its relay from a set of spatially deployed decode-and-forward relays. The advantages of location-based relay selection are the elimination of…

Signal Processing · Electrical Eng. & Systems 2019-02-13 Saman Atapattu , Hazer Inaltekin , Jamie Evans

We study strategic games on weighted directed graphs, where the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy augmented by a fixed non-negative bonus for picking a given…

Computer Science and Game Theory · Computer Science 2016-04-19 Sunil Simon , Dominik Wojtczak

In Feinstein and Rudloff (2023), it was shown that the set of Nash equilibria for any non-cooperative $N$ player game coincides with the set of Pareto optimal points of a certain vector optimization problem with non-convex ordering cone. To…

Optimization and Control · Mathematics 2024-04-24 Zachary Feinstein , Niklas Hey , Birgit Rudloff

In this paper, we address the challenge of Nash equilibrium (NE) seeking in non-cooperative convex games with partial-decision information. We propose a distributed algorithm, where each agent refines its strategy through projected-gradient…

Computer Science and Game Theory · Computer Science 2023-09-15 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

The paper studies the convergence properties of (continuous) best-response dynamics from game theory. Despite their fundamental role in game theory, best-response dynamics are poorly understood in many games of interest due to the…

Optimization and Control · Mathematics 2018-02-08 Brian Swenson , Ryan Murray , Soummya Kar

The use of game theoretic models has been quite successful in describing various cooperative and non-cooperative optimization problems in networks and other domains of computer systems. In this paper, we study an application of game…

Networking and Internet Architecture · Computer Science 2013-05-16 Sandip Chakraborty , Soumyadip Majumder , Diganta Goswami

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

Computer Science and Game Theory · Computer Science 2026-05-20 Léonard Brice

We introduce an analytical model to study the evolution towards equilibrium in spatial games, with `memory-aware' agents, i.e., agents that accumulate their payoff over time. In particular, we focus our attention on the spatial Prisoner's…

Physics and Society · Physics 2016-03-23 Marco Alberto Javarone

We study multi-player general-sum Markov games with one of the players designated as the leader and the other players regarded as followers. In particular, we focus on the class of games where the followers are myopic, i.e., they aim to…

Machine Learning · Computer Science 2021-12-28 Han Zhong , Zhuoran Yang , Zhaoran Wang , Michael I. Jordan

In this paper, we study a model of network formation in large populations. Each agent can choose the strength of interaction (i.e. connection) with other agents to find a Nash equilibrium. Different from the recently-developed theory of…

Optimization and Control · Mathematics 2025-08-07 Gokce Dayanikli , Mathieu Lauriere

The Hotelling-Downs model is a natural and appealing model for understanding strategic positioning by candidates in elections. In this model, voters are distributed on a line, representing their ideological position on an issue. Each…

Computer Science and Game Theory · Computer Science 2024-12-18 Umang Bhaskar , Soumyajit Pyne

In this paper we consider the problem of finding a Nash equilibrium (NE) via zeroth-order feedback information in games with merely monotone pseudogradient mapping. Based on hybrid system theory, we propose a novel extremum seeking…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Suad Krilašević , Sergio Grammatico
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