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Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko

Distributed decision making in multi-agent networks has recently attracted significant research attention thanks to its wide applicability, e.g. in the management and optimization of computer networks, power systems, robotic teams, sensor…

Optimization and Control · Mathematics 2018-11-13 Carlo Cenedese , Yu Kawano , Sergio Grammatico , Ming Cao

Motion planning under uncertainty is one of the main challenges in developing autonomous driving vehicles. In this work, we focus on the uncertainty in sensing and perception, resulted from a limited field of view, occlusions, and sensing…

Robotics · Computer Science 2021-10-05 Kasra Rezaee , Peyman Yadmellat , Simon Chamorro

Autonomous systems, like vehicles or robots, require reliable, accurate, fast, resource-efficient, scalable, and low-latency trajectory predictions to get initial knowledge about future locations and movements of surrounding objects for…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Manuel Hetzel , Hannes Reichert , Konrad Doll , Bernhard Sick

Trajectory planning under uncertainty is an active research topic. Previous works predict state and state estimation uncertainties along trajectories to check for collision safety. They assume either stochastic or bounded sensing…

Robotics · Computer Science 2020-12-18 Akshay Shetty , Grace Xingxin Gao

We study a heterogeneous routing game in which vehicles might belong to more than one type. The type determines the cost of traveling along an edge as a function of the flow of various types of vehicles over that edge. We relax the…

Computer Science and Game Theory · Computer Science 2014-02-04 Farhad Farokhi , Walid Krichene , Alexandre M. Bayen , Karl H. Johansson

An unconventional approach for optimal stopping under model ambiguity is introduced. Besides ambiguity itself, we take into account how ambiguity-averse an agent is. This inclusion of ambiguity attitude, via an $\alpha$-maxmin nonlinear…

Mathematical Finance · Quantitative Finance 2021-07-15 Yu-Jui Huang , Xiang Yu

We propose a new evolutionary dynamics for population games with a discrete strategy set, inspired by the theory of optimal transport and Mean field games. The dynamics can be described as a Fokker-Planck equation on a discrete strategy…

Optimization and Control · Mathematics 2018-11-14 Shui-Nee Chow , Wuchen Li , Jun Lu , Haomin Zhou

One of the critical challenges in automated driving is ensuring safety of automated vehicles despite the unknown behavior of the other vehicles. Although motion prediction modules are able to generate a probability distribution associated…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Luyao Zhang , George Pantazis , Shaohang Han , Sergio Grammatico

Atomic congestion games are a classic topic in network design, routing, and algorithmic game theory, and are capable of modeling congestion and flow optimization tasks in various application areas. While both the price of anarchy for such…

Computer Science and Game Theory · Computer Science 2024-10-23 Cornelius Brand , Robert Ganian , Subrahmanyam Kalyanasundaram , Fionn Mc Inerney

We study learning dynamics induced by myopic travelers who repeatedly play a routing game on a transportation network with an unknown state. The state impacts cost functions of one or more edges of the network. In each stage, travelers…

Multiagent Systems · Computer Science 2019-05-14 Manxi Wu , Saurabh Amin

In this paper, an uncertain Multi-objective Multi-item Solid Transportation Problem (MMSTP) based on uncertainty theory is presented. In the model, transportation costs, supplies, demands and conveyances parameters are taken to be uncertain…

Optimization and Control · Mathematics 2016-06-03 Hasan Dalman

Understanding human mobility is crucial for applications such as forecasting epidemic spreading, planning transport infrastructure and urbanism in general. While, traditionally, mobility information has been collected via surveys, the…

Physics and Society · Physics 2019-09-02 Mattia Mazzoli , Alex Molas , Aleix Bassolas , Maxime Lenormand , Pere Colet , Jose J. Ramasco

Continuous optimization based motion planners require specifying a maneuver class before calculating the optimal trajectory for that class. In traffic, the intentions of other participants are often unclear, presenting multiple maneuver…

Robotics · Computer Science 2024-10-10 Ömer Şahin Taş , Philipp Heinrich Brusius , Christoph Stiller

This paper addresses the problem of planning a safe (i.e., collision-free) trajectory from an initial state to a goal region when the obstacle space is a-priori unknown and is incrementally revealed online, e.g., through line-of-sight…

Robotics · Computer Science 2018-04-17 Lucas Janson , Tommy Hu , Marco Pavone

Game-based interactive driving simulations have emerged as versatile platforms for advancing decision-making algorithms in road transport mobility. While these environments offer safe, scalable, and engaging settings for testing driving…

Robotics · Computer Science 2025-09-09 Zhihao Lin , Zhen Tian

Uncertainty pervades through the modern robotic autonomy stack, with nearly every component (e.g., sensors, detection, classification, tracking, behavior prediction) producing continuous or discrete probabilistic distributions. Trajectory…

Robotics · Computer Science 2022-07-13 Boris Ivanovic , Yifeng Lin , Shubham Shrivastava , Punarjay Chakravarty , Marco Pavone

This research introduces a mathematical framework to comprehending human mobility patterns, integrating mathematical modeling and economic analysis. The study focuses on latent-variable networks, investigating the dynamics of human mobility…

Physics and Society · Physics 2023-07-27 Fabio Vanni

In this paper, we consider a heterogeneous traffic network with multiple users classes which differ considerably in their path selection objective. In particular, we consider two classes of users: ones who seek to minimize social cost…

Computer Science and Game Theory · Computer Science 2019-10-08 Abhishek k Gupta , Adrish Banerjee

In automated driving, predicting and accommodating the uncertain future motion of other traffic participants is challenging, especially in unstructured environments in which the high-level intention of traffic participants is difficult to…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Tommaso Benciolini , Yuntian Yan , Dirk Wollherr , Marion Leibold