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In an iterated non-cooperative game, if all the players act to maximize their individual accumulated payoff, the system as a whole usually converges to a Nash equilibrium that poorly benefits any player. Here we show that such an…

Physics and Society · Physics 2015-06-22 Zedong Bi , Hai-Jun Zhou

We consider multi-player games played on graphs, in which the players aim at fulfilling their own (not necessarily antagonistic) objectives. In the spirit of evolutionary game theory, we suppose that the players have the right to repeatedly…

Computer Science and Game Theory · Computer Science 2019-10-04 Thomas Brihaye , Gilles Geeraerts , Marion Hallet , Benjamin Monmege , Bruno Quoitin

By treating combinatorial games as dynamical systems, we are able to address a longstanding open question in combinatorial game theory, namely, how the introduction of a "pass" move into a game affects its behavior. We consider two well…

Combinatorics · Mathematics 2012-04-17 Rebecca E. Morrison , Eric J. Friedman , Adam S. Landsberg

We consider (N,r) games of predation with N species and r < N prey and predators, acting in a cyclic way. Further basic reactions include reproduction, decay and diffusion over a regular grid, without a hard constraint on the occupation…

Pattern Formation and Solitons · Physics 2016-12-21 Darka Labavić , Hildegard Meyer-Ortmanns

We build new quantum games, similar to the spin flip game, where as a novelty the players perform measurements on a quantum system associated to a continuous time search algorithm. The measurements collapse the wave function into one of the…

Quantum Physics · Physics 2009-11-13 Alejandro Romanelli

Synchronous linear constraint system games are nonlocal games that verify whether or not two players share a solution to a given system of equations. Two algebraic objects associated to these games encode information about the existence of…

Quantum Physics · Physics 2021-03-17 Adina Goldberg

This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently we prove the rigorous derivation of the quasi-invariant limit…

Analysis of PDEs · Mathematics 2020-03-17 Nastassia Duteil , Francesco Salvarani

This paper introduced a pursuit and evasion game to be played on a connected graph. One player moves invisibly around the graph, and the other player must guess his position. At each time step the second player guesses a vertex, winning if…

Combinatorics · Mathematics 2017-01-24 John Haslegrave

This paper studies a simple class of zero-sum games played by two competing quantum players: each player sends a mixed quantum state to a referee, who performs a joint measurement on the two states to determine the players' payoffs. We…

Quantum Physics · Physics 2008-08-21 Rahul Jain , John Watrous

Stochastic games are a well established model for multi-agent sequential decision making under uncertainty. In practical applications, though, agents often have only partial observability of their environment. Furthermore, agents…

Computer Science and Game Theory · Computer Science 2024-07-02 Rui Yan , Gabriel Santos , Gethin Norman , David Parker , Marta Kwiatkowska

Billiard systems, broadly speaking, may be regarded as models of mechanical systems in which rigid parts interact through elastic impulsive (collision) forces. When it is desired or necessary to account for linear/angular momentum exchange…

Differential Geometry · Mathematics 2021-02-24 C. Cox , R. Feres , B. Zhao

In this paper we discuss computer simulations of de Sitter and anti de Sitter spacetimes, which are maximally symmetric, relativistic analogs of non-Euclidean geometries. We present prototype games played in these spacetimes; such games and…

General Relativity and Quantum Cosmology · Physics 2024-04-16 Eryk Kopczynski

This paper presents a novel technique that allows for both computationally fast and sufficiently plausible simulation of vehicles with non-deformable tracks. The method is based on an effect we have called Contact Surface Motion. A…

Robotics · Computer Science 2022-06-22 Martin Pecka , Karel Zimmermann , Tomáš Svoboda

In this paper we experiment with a 2-player strategy board game where playing models are evolved using reinforcement learning and neural networks. The models are evolved to speed up automatic game development based on human involvement at…

Artificial Intelligence · Computer Science 2007-05-23 Dimitris Kalles

Simulation is used extensively in autonomous systems, particularly in robotic manipulation. By far, the most common approach is to train a controller in simulation, and then use it as an initial starting point for the real system. We…

Machine Learning · Statistics 2021-10-06 Shirli Di Castro Shashua , Dotan Di Castro , Shie Mannor

Hedonic games are meant to model how coalitions of people form and break apart in the real world. However, it is difficult to run simulations when everything must be done by hand on paper. We present an online software that allows fast and…

Multiagent Systems · Computer Science 2017-07-26 Luke Harold Miles

Joint improvisation is observed to emerge spontaneously among humans performing joint action tasks, and has been associated with high levels of movement synchrony and enhanced sense of social bonding. Exploring the underlying cognitive and…

Optimization and Control · Mathematics 2015-12-18 Chao Zhai , Francesco Alderisio , Piotr Slowinski , Krasimira Tsaneva-Atanasova , Mario di Bernardo

Cyclic (rock-paper-scissors-type) population models serve to mimic complex species interactions. Focusing on a paradigmatic three-species model with mutations in one dimension, we observe an interplay between equilibrium and non-equilibrium…

Statistical Mechanics · Physics 2010-07-07 Anton A. Winkler , Tobias Reichenbach , Erwin Frey

In this paper we introduce polytopal stochastic games, an extension of two-player, zero-sum, turn-based stochastic games, in which we may have uncertainty over the transition probabilities. In these games the uncertainty over the…

Logic in Computer Science · Computer Science 2025-02-26 Pablo F. Castro , Pedro D'Argenio

Implementations of mobile games have become prevalent industrial technology due to the ubiquitous nature of mobile devices. However, simultaneous-movement multiplayer games, games that a player competes simultaneously with other players,…

Computer Science and Game Theory · Computer Science 2012-09-17 Samuel King Opoku