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Resource allocation takes place in various types of real-world complex systems such as urban traf- fic, social services institutions, economical and ecosystems. Mathematically, the dynamical process of complex resource allocation can be…

Physics and Society · Physics 2015-11-05 Ji-Qiang Zhang , Zi-Gang Huang , Zhi-Xi Wu , Riqi Su , Ying-Cheng Lai

Coordination is a desirable feature in many multi-agent systems such as robotic and socioeconomic networks. We consider a task allocation problem as a binary networked coordination game over an undirected regular graph. Each agent in the…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Yifei Zhang , Marcos M. Vasconcelos

A mediator implements a correlated equilibrium when it proposes a strategy to each player confidentially such that the mediator's proposal is the best interest for every player to follow. In this paper, we present a mediator that implements…

Computer Science and Game Theory · Computer Science 2013-08-13 Dieter Mitsche , George Saad , Jared Saia

We study the behavior of simple models for financial markets with widely spread frequency either in the trading activity of agents or in the occurrence of basic events. The generic picture of a phase transition between information efficient…

Statistical Mechanics · Physics 2009-11-07 Matteo Marsili , Maurizio Piai

The existence of a phase transition with diverging susceptibility in batch Minority Games (MGs) is the mark of informationally efficient regimes and is linked to the specifics of the agents' learning rules. Here we study how the standard…

Physics and Society · Physics 2009-11-13 Tobias Galla , Andrea De Martino

The dynamics of interacting perceptrons is solved analytically. For a directed flow of information the system runs into a state which has a higher symmetry than the topology of the model. A symmetry breaking phase transition is found with…

Disordered Systems and Neural Networks · Physics 2007-05-23 W. Kinzel , R. Metzler , I. Kanter

Starting from the Minority Game and building more and more sophisticated models of adaptive agents, we show that minority mechanisms underly any model where agents learn collectively a resource level that can be either obvious and constant…

Statistical Mechanics · Physics 2009-11-10 Damien Challet

We show that in a variant of the Minority Game problem, the agents can reach a state of maximum social efficiency, where the fluctuation between the two choices is minimum, by following a simple stochastic strategy. By imagining a social…

Physics and Society · Physics 2012-03-06 Soumyajyoti Biswas , Asim Ghosh , Arnab Chatterjee , Tapan Naskar , Bikas K. Chakrabarti

We propose a new model of minority game with so-called smart agents such that the standard deviation and the total loss in this model reach the theoretical minimum values in the limit of long time. The smart agents use trail and error…

Statistical Mechanics · Physics 2008-12-02 Yan-Bo Xie , Bing-Hong Wang , Chin-Kun Hu , Tao Zhou

Mafia can be described as an experiment in human psychology and mass hysteria, or as a game between informed minority and uninformed majority. Focus on a very restricted setting, Mossel et al. [to appear in Ann. Appl. Probab. Volume 18,…

Probability · Mathematics 2008-04-02 Erlin Yao

Ecologists and economists try to explain collective behavior in terms of competitive systems of selfish individuals with the ability to learn from the past. Statistical physicists have been investigating models which might contribute to the…

Statistical Mechanics · Physics 2009-11-07 Susanne Moelbert , Paolo De Los Rios

We study a model of a competing population of N adaptive agents, with similar capabilities, repeatedly deciding whether to attend a bar with an arbitrary cutoff L. Decisions are based upon past outcomes. The agents are only told whether the…

Condensed Matter · Physics 2009-10-31 N. F. Johnson , P. M. Hui , Dafang Zheng , C. W. Tai

We propose an analytically tractable variation of the minority game in which rational agents use probabilistic strategies. In our model, $N$ agents choose between two alternatives repeatedly, and those who are in the minority get a pay-off…

Trading and Market Microstructure · Quantitative Finance 2014-02-11 V. Sasidevan , Deepak Dhar

The Minority Game framework was recently generalized to account for the possibility that agents adapt not only through strategy selection but also by diversifying their response according to the kind of dynamical regime, or the risk, they…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Tedeschi , A. De Martino , I. Giardina

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…

Adaptation and Self-Organizing Systems · Physics 2011-12-06 Karol Wawrzyniak , Wojciech Wislicki

We review the statistical mechanics approach to the study of the emerging collective behavior of systems of heterogeneous interacting agents. The general framework is presented through examples is such contexts as ecosystem dynamics and…

Physics and Society · Physics 2007-05-23 Andrea De Martino , Matteo Marsili

Methods for learning and planning in sequential decision problems often assume the learner is aware of all possible states and actions in advance. This assumption is sometimes untenable. In this paper, we give a method to learn factored…

Artificial Intelligence · Computer Science 2019-02-28 Craig Innes , Alex Lascarides

In this paper we present results and analyses of a class of games in which heterogeneous agents are rewarded for being in a minority group. Each agent possesses a number of fixed strategies each of which are predictors of the next minority…

adap-org · Physics 2007-05-23 Radu Manuca , Yi Li , Rick Riolo , Robert Savit

A brief review is given of the minority game, an idealized model stimulated by a market of speculative agents, and its complex many-body behaviour. Particular consideration is given to analytic results for the model rather than discussions…

Disordered Systems and Neural Networks · Physics 2009-11-11 David Sherrington

In this paper I give a brief introduction to a family of simple but non-trivial models designed to increase our understanding of collective processes in markets, the so-called Minority Games, and their non-equilibrium statistical…

Disordered Systems and Neural Networks · Physics 2008-12-02 A. C. C. Coolen