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An interaction system has a finite set of agents that interact pairwise, depending on the current state of the system. Symmetric decomposition of the matrix of interaction coefficients yields the representation of states by self-adjoint…

Quantum Physics · Physics 2017-06-07 Ulrich Faigle , Michel Grabisch

A major challenge for autonomous vehicles is handling interactive scenarios, such as highway merging, with human-driven vehicles. A better understanding of human interactive behaviour could help address this challenge. Such understanding…

Human-Computer Interaction · Computer Science 2023-05-30 O. Siebinga , A. Zgonnikov , D. A. Abbink

Computer modeling of human decision making is of large importance for, e.g., sustainable transport, urban development, and online recommendation systems. In this paper we present a model for predicting the behavior of an individual during a…

Artificial Intelligence · Computer Science 2021-01-18 Chenda Zhang , Hedvig Kjellström

With autonomous vehicles (AV) set to integrate further into regular human traffic, there is an increasing consensus on treating AV motion planning as a multi-agent problem. However, the traditional game-theoretic assumption of complete…

Artificial Intelligence · Computer Science 2024-06-06 Atrisha Sarkar , Krzysztof Czarnecki

Lane changes are complex safety and throughput critical driver actions. Most lane changing models deal with lane-changing maneuvers solely from the merging driver's standpoint and thus ignore driver interaction. To overcome this…

Physics and Society · Physics 2020-08-11 Kyungwon Kang , Hesham A Rakha

In quantum game theory, one of the most intriguing and important questions is, "Is it possible to get quantum advantages without any modification of the classical game?" The answer to this question so far has largely been negative. So far,…

Quantum Physics · Physics 2016-02-16 Jeongho Bang , Junghee Ryu , Marcin Pawłowski , B. S. Ham , Jinhyoung Lee

Quantum games have proposed a new point of view for the solution of the classical problems and dilemmas in game theory. Certain quantization relationships can be proposed with the objective that a game can be generalized into a quantum…

Quantum Physics · Physics 2016-12-12 Esteban Guevara Hidalgo

We present a new method for multi-agent planning involving human drivers and autonomous vehicles (AVs) in unsignaled intersections, roundabouts, and during merging. In multi-agent planning, the main challenge is to predict the actions of…

Robotics · Computer Science 2022-03-21 Rohan Chandra , Dinesh Manocha

Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the cases quantum description of the system provides advantages over…

Quantum Physics · Physics 2016-09-08 Edward W. Piotrowski , Jan Sladkowski

This paper presents an MFG-based decision-making framework for autonomous driving in heterogeneous traffic. To capture diverse human behaviors, we propose a quantitative driving style representation that maps abstract traits to parameters…

Robotics · Computer Science 2025-09-08 Liancheng Zheng , Zhen Tian , Yangfan He , Shuo Liu , Huilin Chen , Fujiang Yuan , Yanhong Peng

In this paper, a synergistic combination of deep reinforcement learning and hierarchical game theory is proposed as a modeling framework for behavioral predictions of drivers in highway driving scenarios. The need for a modeling framework…

Multiagent Systems · Computer Science 2020-03-26 Berat Mert Albaba , Yildiray Yildiz

Recently the concept of quantum information has been introduced into game theory. Here we present the first study of quantum games with more than two players. We discover that such games can possess a new form of equilibrium strategy, one…

Quantum Physics · Physics 2007-05-23 Simon C. Benjamin , Patrick M. Hayden

We describe a general approach to modeling rational decision-making agents who adopt either quantum or classical mechanics based on the Quantum Bayesian (QBist) approach to quantum theory. With the additional ingredient of a scheme by which…

Quantum Physics · Physics 2022-05-18 John B. DeBrota , Peter J. Love

We consider the problem of interaction-aware motion planning for automated vehicles in general traffic situations. We model the interaction between the controlled vehicle and surrounding road users using a generalized potential game, in…

Optimization and Control · Mathematics 2023-05-09 Brecht Evens , Mathijs Schuurmans , Panagiotis Patrinos

What happens when an infinite number of players play a quantum game? In this tutorial, we will answer this question by looking at the emergence of cooperation, in the presence of noise, in a one-shot quantum Prisoner's dilemma (QuPD). We…

Physics and Society · Physics 2025-04-17 Colin Benjamin , Rajdeep Tah

Effects of quantum and classical correlations on game theory are studied to clarify the new aspects brought into game theory by the quantum mechanical toolbox. In this study, we compare quantum correlation represented by a maximally…

Quantum Physics · Physics 2007-08-07 Junichi Shimamura , Sahin Kaya Ozdemir , Fumiaki Morikoshi , Nobuyuki Imoto

In interactive multi-agent settings, decision-making and planning are challenging mainly due to the agents' interconnected objectives. Dynamic game theory offers a formal framework for analyzing such intricacies. Yet, solving constrained…

Robotics · Computer Science 2025-03-24 Maulik Bhatt , Yixuan Jia , Negar Mehr

The actions of an autonomous vehicle on the road affect and are affected by those of other drivers, whether overtaking, negotiating a merge, or avoiding an accident. This mutual dependence, best captured by dynamic game theory, creates a…

Robotics · Computer Science 2018-10-16 Jaime F. Fisac , Eli Bronstein , Elis Stefansson , Dorsa Sadigh , S. Shankar Sastry , Anca D. Dragan

In this paper, we describe an integrated framework for autonomous decision making in a dynamic and interactive environment. We model the interactions between the ego agent and its operating environment as a two-player dynamic game, and…

Artificial Intelligence · Computer Science 2019-09-19 Sisi Li , Nan Li , Anouck Girard , Ilya Kolmanovsky

A number of recent studies have focused on novel features in game theory when the games are played using quantum mechanical toolbox (entanglement, unitary operators, measurement). Researchers have concentrated in two-player-two strategy,…

Quantum Physics · Physics 2007-05-23 Junichi Shimamura , Sahin Kaya Ozdemir , Nobuyuki Imoto