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Despite many efforts, the behavior of a crowd is not fully understood. The advent of modern communication media has made it an even more challenging problem, as crowd dynamics could be driven by both human-to-human and human-technology…

物理与社会 · 物理学 2018-11-27 Alberto Aleta , Yamir Moreno

The dynamics in games involving multiple players, who adaptively learn from their past experience, is not yet well understood. We analyzed a class of stochastic games with Markov strategies in which players choose their actions…

概率论 · 数学 2018-04-30 Shohei Hidaka

In late May of 2014 I received an email from a colleague introducing to me a non-transitive game developed by Walter Penney. This paper explores this probability game from the perspective of a coin tossing game, and further discusses some…

概率论 · 数学 2014-06-10 James Brofos

Consider a system of \(n\) players in which each initially starts on a different team. At each time step, we select an individual winner and an individual loser randomly and the loser joins the winner's team. The resulting Markov chain and…

概率论 · 数学 2014-01-15 Robert Mena , Will Murray

Understanding the strategic behavior of miners in a blockchain is of great importance for its proper operation. A common model for mining games considers an infinite time horizon, with players optimizing asymptotic average objectives.…

计算机科学与博弈论 · 计算机科学 2021-07-21 Alejandro Jofré , Angel Pardo , David Salas , Victor Verdugo , José Verschae

We consider two-player stochastic games played on a finite graph for infinitely many rounds. Stochastic games generalize both Markov decision processes (MDP) by adding an adversary player, and two-player deterministic games by adding…

计算机科学与博弈论 · 计算机科学 2022-02-28 Laurent Doyen

Quantitative verification techniques have been developed for the formal analysis of a variety of probabilistic models, such as Markov chains, Markov decision process and their variants. They can be used to produce guarantees on quantitative…

计算机科学中的逻辑 · 计算机科学 2019-07-18 Marta Kwiatkowska , Gethin Norman , David Parker

This paper studies the finite-time horizon Markov games where the agents' dynamics are decoupled but the rewards can possibly be coupled across agents. The policy class is restricted to local policies where agents make decisions using their…

计算机科学与博弈论 · 计算机科学 2023-04-11 Runyu Zhang , Yuyang Zhang , Rohit Konda , Bryce Ferguson , Jason Marden , Na Li

Is it possible to predict moment-to-moment gameplay engagement based solely on game telemetry? Can we reveal engaging moments of gameplay by observing the way the viewers of the game behave? To address these questions in this paper, we…

人机交互 · 计算机科学 2020-08-18 David Melhart , Daniele Gravina , Georgios N. Yannakakis

Cooperative Parrondo's games on a regular two dimensional lattice are analyzed based on the computer simulations and on the discrete-time Markov chain model with exact transition probabilities. The paradox appears in the vicinity of the…

统计力学 · 物理学 2009-11-11 Zoran Mihailovic , Milan Rajkovic

We study the relationship between performance and practice by analyzing the activity of many players of a casual online game. We find significant heterogeneity in the improvement of player performance, given by score, and address this by…

计算机与社会 · 计算机科学 2017-03-16 Tushar Agarwal , Keith A. Burghardt , Kristina Lerman

Individual cooperative strategy influences the surrounding dynamic population, which in turn affects cooperative strategy. To better model this phenomenon, we develop a Markov decision chain based game transitions model and examine the…

物理与社会 · 物理学 2025-12-30 Chaoyang Luo , Yuji Zhang , Minyu Feng , Attila Szolnoki

We consider a scenario where N users try to access a common base station. Associated with each user is its channel state and a finite queue which varies with time. Each user chooses his power and the admission control variable in a dynamic…

系统与控制 · 计算机科学 2012-10-31 Prashant Narayanan , Vinod Sharma

The psychology of the individual is continuously changing in nature, which has a significant influence on the evolutionary dynamics of populations. To study the influence of the continuously changing psychology of individuals on the…

社会与信息网络 · 计算机科学 2025-02-11 Minyu Feng , Bin Pi , Liang-Jian Deng , Jürgen Kurths

In this work we present a detailed analysis using the Markov chain theory of some versions of the truel game in which three players try to eliminate each other in a series of one-to-one competitions, using the rules of the game. Besides…

统计力学 · 物理学 2009-11-11 R. Toral , P. Amengual

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…

混沌动力学 · 物理学 2025-01-22 Gaspar Alfaro , Rubén Capeáns , Miguel A. F. Sanjuán

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

种群与进化 · 定量生物学 2007-05-23 Anders Eriksson , Kristian Lindgren

Two-player stochastic games are games with two 2 players and a randomised entity called "nature". A natural question to ask in this framework is the existence of strategies that ensure that an event happens with probability 1 (almost-sure…

计算机科学与博弈论 · 计算机科学 2018-06-27 Youssouf Oualhadj , Léo Tible , Daniele Varacca

We study minority games in efficient regime. By incorporating the utility function and aggregating agents with similar strategies we develop an effective mesoscale notion of state of the game. Using this approach, the game can be…

适应与自组织系统 · 物理学 2011-12-06 Karol Wawrzyniak , Wojciech Wislicki

This paper deals with N-person nonzero-sum discrete-time Markov games under a probability criterion, in which the transition probabilities and reward functions are allowed to vary with time. Differing from the existing works on the expected…

概率论 · 数学 2025-05-16 Xin Guo , Xin Wen
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