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The deduction game is a variation of the game of cops and robber on graphs in which searchers must capture an invisible evader in at most one move. Searchers know each others' initial locations, but can only communicate if they are on the…

Combinatorics · Mathematics 2024-12-24 Andrea Burgess , Danny Dyer , Mozhgan Farahani

In many two-sided markets, the parties to be matched have incomplete information about their characteristics. We consider the settings where the parties engaged are extremely patient and are interested in long-term partnerships. Hence, once…

Computer Science and Game Theory · Computer Science 2019-08-30 Kartik Ahuja , Mihaela van der Schaar

We study decision-making with rational inattention in settings where agents have perception constraints. In such settings, inaccurate prior beliefs or models of others may lead to inattention blindness, where an agent is unaware of its…

Computer Science and Game Theory · Computer Science 2025-10-06 Mustafa O. Karabag , Jesse Milzman , Ufuk Topcu

We present a novel two-player game in a chaotic dynamical system where players have opposing objectives regarding the system's behavior. The game is analyzed using a methodology from the field of chaos control known as partial control. Our…

Chaotic Dynamics · Physics 2025-01-22 Gaspar Alfaro , Rubén Capeáns , Miguel A. F. Sanjuán

Evolutionary game theory assumes that players replicate a highly scored player's strategy through genetic inheritance. However, when learning occurs culturally, it is often difficult to recognize someone's strategy just by observing the…

Populations and Evolution · Quantitative Biology 2021-07-01 Minjae Kim , Jung-Kyoo Choi , Seung Ki Baek

We study a class of two-player competitive concurrent stochastic games on graphs with reachability objectives. Specifically, player 1 aims to reach a subset $F_1$ of game states, and player 2 aims to reach a subset $F_2$ of game states…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Chongyang Shi , Shuo Han , Jie Fu

We introduce and study coverage games - a novel framework for multi-agent planning in settings in which a system operates several agents but does not have full control on them, or interacts with an environment that consists of several…

Computer Science and Game Theory · Computer Science 2026-03-24 Orna Kupferman , Noam Shenwald

We introduce an evolutionary game with feedback between perception and reality, which we call the reality game. It is a game of chance in which the probabilities for different objective outcomes (e.g., heads or tails in a coin toss) depend…

General Finance · Quantitative Finance 2009-02-09 Dmitriy Cherkashin , J. Doyne Farmer , Seth Lloyd

This paper is concerned with continuous-time pursuit and evasion games. Typically, we have a lion and a man in a metric space: they have the same speed, and the lion wishes to catch the man while the man tries to evade capture. We are…

Optimization and Control · Mathematics 2009-09-15 B. Bollobás , I. Leader , M. Walters

Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

Computer Science and Game Theory · Computer Science 2016-08-05 Karel Horák , Branislav Bošanský

Game-theoretic motion planners are a potent solution for controlling systems of multiple highly interactive robots. Most existing game-theoretic planners unrealistically assume a priori objective function knowledge is available to all…

Robotics · Computer Science 2024-10-28 Makram Chahine , Roya Firoozi , Wei Xiao , Mac Schwager , Daniela Rus

If you are sharing a meal with a companion, how best to make sure you get your favourite mouthfuls? Ethiopian Dinner is a game in which two players take turns eating morsels from a common plate. Each morsel comes with a pair of utility…

Computer Science and Game Theory · Computer Science 2014-12-30 Lionel Levine , Katherine E. Stange

Intention recognition is an important characteristic of intelligent agents. In their interactions with others, they try to read others' intentions and make an image of others to choose their actions accordingly. While the way in which…

Optimization and Control · Mathematics 2019-03-27 Yuma Fujimoto , Kunihiko Kaneko

Consider a two-person zero-sum search game between a hider and a searcher. The hider hides among $n$ discrete locations, and the searcher successively visits individual locations until finding the hider. Known to both players, a search at…

Machine Learning · Statistics 2021-03-18 Jake Clarkson , Kyle Y. Lin , Kevin D. Glazebrook

Motivated by a study on deception and counter-deception, this paper addresses the problem of identifying an agent's target as it seeks to reach one of two targets in a given environment. In practice, an agent may initially follow a strategy…

Applications · Statistics 2025-04-07 Yiming Meng , Dongchang Li , Melkior Ornik

We address goal-based imitation learning, where the aim is to output the symbolic goal from a third-person video demonstration. This enables the robot to plan for execution and reproduce the same goal in a completely different environment.…

We study a variant of pursuit-evasion game in the context of perimeter defense. In this problem, the intruder aims to reach the base plane of a hemisphere without being captured by the defender, while the defender tries to capture the…

Robotics · Computer Science 2021-01-01 Elijah S. Lee , Daigo Shishika , Vijay Kumar

Strategic deception is an act of manipulating the opponent's perception to gain strategic advantages. In this paper, we study synthesis of deceptive winning strategies in two-player turn-based zero-sum reachability games on graphs with…

Computer Science and Game Theory · Computer Science 2021-04-26 Abhishek N. Kulkarni , Jie Fu

There is a common belief that humans and many animals follow transitive inference (choosing A over C on the basis of knowing that A is better than B and B is better than C). Transitivity seems to be the essence of rational choice. We…

Computer Science and Game Theory · Computer Science 2014-09-23 Marcin Makowski , Edward W. Piotrowski

This paper investigates the application of game-theoretic principles combined with advanced Kalman filtering techniques to enhance maritime target tracking systems. Specifically, the paper presents a two-player, imperfect information,…

Computer Science and Game Theory · Computer Science 2024-10-18 Daniel Leal , Ngoc Hung Nguyen , Alex Skvortsov , Sanjeev Arulampalam , Mahendra Piraveenan