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In this study, we present models where participants strategically select their risk levels and earn corresponding rewards, mirroring real-world competition across various sectors. Our analysis starts with a normal form game involving two…

Computational Finance · Quantitative Finance 2023-05-31 Louis Abraham

We study a pursuit-evasion problem which can be viewed as an extension of the keep-away game. In the game, pursuer(s) will attempt to intersect or catch the evader, while the evader can visit a fixed set of locations, which we denote as the…

Robotics · Computer Science 2022-06-17 Weifu Wang , Ping Li

We study strategic games on weighted directed graphs, in which 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 integer bonus for picking a…

Computer Science and Game Theory · Computer Science 2021-03-15 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

The goal of agents in multi-agent environments is to maximize total reward against the opposing agents that are encountered. Following a game-theoretic solution concept, such as Nash equilibrium, may obtain a strong performance in some…

Computer Science and Game Theory · Computer Science 2026-01-05 Sam Ganzfried

Smart metering infrastructure allows for two-way communication and power transfer. Based on this promising technology, we propose a demand-side management (DSM) scheme for a residential neighbourhood of prosumers. Its core is a discrete…

Computer Science and Game Theory · Computer Science 2018-07-24 Matthias Pilz , Luluwah Al-Fagih

We introduce a new non-zero-sum game of optimal stopping with asymmetric exercise opportunities. Given a stochastic process modelling the value of an asset, one player observes and can act on the process continuously, while the other player…

Probability · Mathematics 2024-05-16 José Luis Pérez , Neofytos Rodosthenous , Kazutoshi Yamazaki

We study $n$-player turn-based games played on a finite directed graph. For each play, the players have to pay a cost that they want to minimize. Instead of the well-known notion of Nash equilibrium (NE), we focus on the notion of subgame…

Computer Science and Game Theory · Computer Science 2015-04-13 Thomas Brihaye , Véronique Bruyère , Noémie Meunier , Jean-François Raskin

We consider autonomous racing of two cars and present an approach to formulate racing decisions as a non-cooperative non-zero-sum game. We design three different games where the players aim to fulfill static track constraints as well as…

Optimization and Control · Mathematics 2019-01-11 Alexander Liniger , John Lygeros

We formulate a resource-planning game between an attacker and a defender of a network control system. We consider the network to be operating in closed-loop with a linear quadratic regulator (LQR). We construct a general-sum, two-player,…

Systems and Control · Computer Science 2018-10-02 Pratishtha Shukla , Aranya Chakrabortty , Alexandra Duel-Hallen

Research in adversarial learning follows a cat and mouse game between attackers and defenders where attacks are proposed, they are mitigated by new defenses, and subsequently new attacks are proposed that break earlier defenses, and so on.…

Machine Learning · Computer Science 2020-11-13 Ambar Pal , René Vidal

We study multi-strategies in multiplayer reachability games played on finite graphs. A multi-strategy prescribes a set of possible actions, instead of a single action as usual strategies: it represents a set of all strategies that are…

Computer Science and Game Theory · Computer Science 2024-11-21 Aline Goeminne , Benjamin Monmege

We study online optimization methods for zero-sum games, a fundamental problem in adversarial learning in machine learning, economics, and many other domains. Traditional methods approximate Nash equilibria (NE) using either regret-based…

Computer Science and Game Theory · Computer Science 2025-07-16 Taemin Kim , James P. Bailey

Generating payoff matrices of normal-form games at random, we calculate the frequency of games with a unique pure strategy Nash equilibrium in the ensemble of $n$-player, $m$-strategy games. These are perfectly predictable as they must…

Theoretical Economics · Economics 2020-11-03 Samuel C. Wiese , Torsten Heinrich

We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-09-25 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

Cooperatively planning for multiple agents has been proposed as a promising method for strategic and motion planning for automated vehicles. By taking into account the intent of every agent, the ego agent can incorporate future interactions…

Robotics · Computer Science 2021-10-01 Tobias Kessler , Klemens Esterle , Alois Knoll

We put forward a new model of congestion games where agents have uncertainty over the routes used by other agents. We take a non-probabilistic approach, assuming that each agent knows that the number of agents using an edge is within a…

Computer Science and Game Theory · Computer Science 2017-03-28 Reshef Meir , David Parkes

We study a wireless jamming problem consisting of the competition between a legitimate receiver and a jammer, as a zero-sum game where the value to maximize/minimize is the channel capacity at the receiver's side. Most of the approaches…

Computer Science and Game Theory · Computer Science 2026-05-19 Giovanni Perin , Leonardo Badia

We study automated intrusion response and formulate the interaction between an attacker and a defender as an optimal stopping game where attack and defense strategies evolve through reinforcement learning and self-play. The game-theoretic…

Computer Science and Game Theory · Computer Science 2024-04-23 Kim Hammar , Rolf Stadler

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

We study a target coverage problem in which a team of sensing agents, operating under limited communication, must collaboratively monitor targets that may be adaptively repositioned by an attacker. We model this interaction as a zero-sum…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Jayanth Bhargav , Zirui Xu , Vasileios Tzoumas , Mahsa Ghasemi , Shreyas Sundaram