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We extend recent analyses of stochastic effects in game dynamical learning to cases of multi-player games, and to games defined on networked structures. By means of an expansion in the noise strength we consider the weak-noise limit, and…

物理与社会 · 物理学 2012-04-20 Alex J. Bladon , Tobias Galla

In today's dynamic and interconnected world, resource constraints pose significant challenges across various domains, ranging from networks, logistics and manufacturing to project management and optimization, etc. Resource-constrained…

计算机科学与博弈论 · 计算机科学 2023-11-09 Shiksha Singhal

We study Bayesian coordination games where agents receive noisy private information over the game's payoff structure, and over each others' actions. If private information over actions is precise, we find that agents can coordinate on…

综合经济学 · 经济学 2019-04-25 Dominik Grafenhofer , Wolfgang Kuhle

We study the role of imitation within a model of economics with adaptive agents. The basic ingredients are those of the Minority Game. We add the possibility of local information exchange and imitation of the neighbour's strategy. Imitators…

统计力学 · 物理学 2009-11-07 Frantisek Slanina

Game theory is the mathematical framework for analyzing strategic interactions in conflict and competition situations. In recent years quantum game theory has earned the attention of physicists, and has emerged as a branch of quantum…

量子物理 · 物理学 2015-05-30 Puya Sharif , Hoshang Heydari

In the Minority Game (MG), an odd number of heterogeneous and adaptive agents choose between two alternatives and those who end up on the minority side win. When the information available to the agents to make their choice is the identity…

物理与社会 · 物理学 2016-09-13 V. Sasidevan

We study the quality of outcomes in repeated games when the population of players is dynamically changing and participants use learning algorithms to adapt to the changing environment. Game theory classically considers Nash equilibria of…

计算机科学与博弈论 · 计算机科学 2020-05-25 Thodoris Lykouris , Vasilis Syrgkanis , Eva Tardos

TheMinority Game (MG) has become a paradigm to probe complex social and economical phenomena where adaptive agents compete for a limited resource, and it finds applications in statistical and nonlinear physics as well. In the traditional MG…

适应与自组织系统 · 物理学 2012-04-16 Zi-Gang Huang , Ji-Qiang Zhang , Jia-Qi Dong , Liang Huang , Ying-Cheng Lai

Perfect synchronicity in $N$-player games is a useful theoretical dream, but communication delays are inevitable and may result in asynchronous interactions. Some systems such as financial markets are asynchronous by design, and yet most…

物理与社会 · 物理学 2015-05-13 Giancarlo Mosetti , Damien Challet , Sorin Solomon

We introduce a simple extension of the minority game in which the market rewards contrarian (resp. trend-following) strategies when it is far from (resp. close to) efficiency. The model displays a smooth crossover from a regime where…

无序系统与神经网络 · 物理学 2009-11-10 A. De Martino , I. Giardina , M. Marsili , A. Tedeschi

A minority game whose strategies are given by probabilities p, is replaced by a 'simplified' version that makes no use of memories at all. Numerical results show that the corresponding distribution functions are indistinguishable. A related…

凝聚态物理 · 物理学 2009-10-31 E. Burgos , Horacio Ceva

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

种群与进化 · 定量生物学 2021-05-18 Feng Huang , Ming Cao , Long Wang

The minority game is a simple congestion game in which the players' main goal is to choose among two options the one that is adopted by the smallest number of players. We characterize the set of Nash equilibria and the limiting behavior of…

物理与社会 · 物理学 2007-08-28 Willemien Kets , Mark Voorneveld

We propose and study an evolutionary minority game (EMG) in which the agents are allowed to choose among three possible options. Unlike the original EMG where the agents either win or lose one unit of wealth, the present model assigns one…

统计力学 · 物理学 2007-05-23 Hong-Jun Quan , P. M. Hui , C. Xu , K. F Yip

We address the question of market efficiency using the Minority Game (MG) model. First we show that removing unrealistic features of the MG leads to models which reproduce a scaling behavior close to what is observed in real markets. In…

统计力学 · 物理学 2008-12-02 D. Challet , A. Chessa , M. Marsili , Y. -C. Zhang

We study a class of games which model the competition among agents to access some service provided by distributed service units and which exhibit congestion and frustration phenomena when service units have limited capacity. We propose a…

计算机科学与博弈论 · 计算机科学 2015-08-19 F. Altarelli , A. Braunstein , L. Dall'Asta

We discuss in detail the derivation of stochastic differential equations for the continuum time limit of the Minority Game. We show that all properties of the Minority Game can be understood by a careful theoretical analysis of such…

统计力学 · 物理学 2009-11-07 M. Marsili , D. Challet

In this paper we consider a distributed coordination game played by a large number of agents with finite information sets, which characterizes emergence of a single dominant attribute out of a large number of competitors. Formally, $N$…

经济学 · 定量金融 2016-12-21 S. Agarwal , D. Ghosh , A. S. Chakrabarti

We introduce and study a model of an interacting population of agents who collaborate in groups which compete for limited resources. Groups are formed by random matching agents and their worth is determined by the sum of the efforts…

物理与社会 · 物理学 2009-11-13 Emanuele Pugliese , Claudio Castellano , Matteo Marsili , Luciano Pietronero

We investigate the behavioral patterns of a population of agents, each controlled by a simple biologically motivated neural network model, when they are set in competition against each other in the Minority Model of Challet and Zhang. We…

适应与自组织系统 · 物理学 2007-05-23 Joseph Wakeling , Per Bak