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The basis for most of the ideas mentioned in this paper is the theory of cellular automata. A cellular automata contains a regular grid of cells, with each cell having a pre-defined set of finite states. The initial state is determined at…

综合数学 · 数学 2022-10-06 Raghavendra Bhat

Evolutionary game dynamics are often studied in the context of different population structures. Here we propose a new population structure that is inspired by simple multicellular life forms. In our model, cells reproduce but can stay…

种群与进化 · 定量生物学 2016-05-26 Kamran Kaveh , Carl Veller , Martin A. Nowak

The emergence of complex structures in the systems governed by a simple set of rules is among the most fascinating aspects of Nature. The particularly powerful and versatile model suitable for investigating this phenomenon is provided by…

适应与自组织系统 · 物理学 2023-10-11 Jarosław Adam Miszczak

The notion of interchangeability has been introduced by John Nash in one of his original papers on equilibria. This paper studies properties of Nash equilibria interchangeability in cellular games that model behavior of infinite chain of…

计算机科学与博弈论 · 计算机科学 2014-02-10 Pavel Naumov , Margaret Protzman

Learning processes in games explain how players grapple with one another in seeking an equilibrium. We study a natural model of learning based on individual gradients in two-player continuous games. In such games, the arguably natural…

计算机科学与博弈论 · 计算机科学 2020-11-10 Benjamin J. Chasnov , Daniel Calderone , Behçet Açıkmeşe , Samuel A. Burden , Lillian J. Ratliff

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…

计算机科学与博弈论 · 计算机科学 2026-05-19 Giovanni Perin , Leonardo Badia

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

最优化与控制 · 数学 2012-06-11 Vikas Vikram Singh , N. Hemachandra

The donation game is a well-established framework for studying the emergence and evolution of cooperation in multi-agent systems. The cooperative behavior can be influenced by the environmental noise in partially observable settings and by…

多智能体系统 · 计算机科学 2025-07-17 Marcin Kowalik , Przemysław Stokłosa , Mateusz Grabowski , Janusz Starzyk , Paweł Raif

In a noncooperative dynamic game, multiple agents operating in a changing environment aim to optimize their utilities over an infinite time horizon. Time-varying environments allow to model more realistic scenarios (e.g., mobile devices…

系统与控制 · 计算机科学 2015-12-29 Santiago Zazo , Sergio Valcarcel Macua , Matilde Sánchez-Fernández , Javier Zazo

A general model for zero-sum stochastic games with asymmetric information is considered. In this model, each player's information at each time can be divided into a common information part and a private information part. Under certain…

系统与控制 · 电气工程与系统科学 2019-12-25 Dhruva Kartik , Ashutosh Nayyar

Stochastic games are a natural model for the synthesis of controllers confronted to adversarial and/or random actions. In particular, $\omega$-regular games of infinite length can represent reactive systems which are not expected to reach a…

计算机科学与博弈论 · 计算机科学 2009-02-17 Florian Horn

With the growth of the internet it is becoming increasingly important to understand how the behaviour of players is affected by the topology of the network interconnecting them. Many models which involve networks of interacting players have…

计算机科学与博弈论 · 计算机科学 2013-01-25 Richard Southwell , Chris Cannings

Security games model the confrontation between a defender protecting a set of targets and an attacker who tries to capture them. A variant of these games assumes security interdependence between targets, facilitating contagion of an attack.…

社会与信息网络 · 计算机科学 2019-12-17 Marcin Waniek , Tomasz P. Michalak , Aamena Alshamsi

Coordination games describe social or economic interactions in which the adoption of a common strategy has a higher payoff. They are classically used to model the spread of conventions, behaviors, and technologies in societies. Here we…

计算机科学与博弈论 · 计算机科学 2008-12-02 Andrea Montanari , Amin Saberi

Several notions of game enjoy a Nash-like notion of equilibrium without guarantee of existence. There are different ways of weakening a definition of Nash-like equilibrium in order to guarantee the existence of a weakened equilibrium.…

计算机科学与博弈论 · 计算机科学 2007-12-11 Stéphane Le Roux

Coordination games have been of interest to game theorists, economists, and ecologists for many years to study such problems as the emergence of local conventions and the evolution of cooperative behavior. Approaches for understanding the…

计算机科学与博弈论 · 计算机科学 2025-07-09 John S. McAlister , Nina H. Fefferman

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

元胞自动机与格子气 · 物理学 2007-12-21 H. Fort

Evolutionary game dynamics of two players with two strategies has been studied in great detail. These games have been used to model many biologically relevant scenarios, ranging from social dilemmas in mammals to microbial diversity. Some…

种群与进化 · 定量生物学 2010-03-31 Chaitanya S. Gokhale , Arne Traulsen

Cellular automata are a set of computational models in discrete space that have a discrete time evolution defined by neighbourhood rules. They are used to simulate many complex systems in physics and science in general. In this work,…

元胞自动机与格子气 · 物理学 2023-05-12 Luca Bertolani , Andrea Idini

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

最优化与控制 · 数学 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag
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