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The \$-Game was recently introduced as an extension of the Minority Game. In this paper we compare this model with the well know Minority Game and the Majority Game models. Due to the inter-temporal nature of the market payoff, we introduce…

Statistical Mechanics · Physics 2008-12-02 F. F. Ferreira , M. Marsili

We study the role of imitation within the Minority Game model of market. The players can exchange information locally, which leads to formation of groups which act as if they were single players. Coherent spatial areas of rich and poor…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina

We study a class of two-player competitive concurrent stochastic games on graphs with reachability objectives. Specifically, player 1 aims to reach a subset $F_1$ of game states, and player 2 aims to reach a subset $F_2$ of game states…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Chongyang Shi , Shuo Han , Jie Fu

This paper reframes approachability theory within the context of population games. Thus, whilst one player aims at driving her average payoff to a predefined set, her opponent is not malevolent but rather extracted randomly from a…

Optimization and Control · Mathematics 2014-07-16 Dario Bauso , Thomas W L Norman

We show that a simple evolutionary scheme, when applied to the minority game (MG), changes the phase structure of the game. In this scheme each agent evolves individually whenever his wealth reaches the specified bankruptcy level, in…

Statistical Mechanics · Physics 2009-11-10 Baosheng Yuan , Kan Chen

We discover the mechanism for the transition from self-segregation (into opposing groups) to clustering (towards cautious behaviors) in the evolutionary minority game (EMG). The mechanism is illustrated with a statistical mechanics analysis…

Condensed Matter · Physics 2013-05-29 Kan Chen , Bing-Hong Wang , Baosheng Yuan

The minority model was introduced to study the competition between agents with limited information. It has the remarkable feature that, as the amount of information available increases, the collective gain made by the agents is reduced.…

Statistical Mechanics · Physics 2007-05-23 M. A. R. de Cara , O. Pla , F. Guinea

In this paper we show that the continuum time version of the Minority Game satisfies the criteria for the application of a theorem on the existence of an invariant measure. We consider the special case of a game with "sufficiently"…

Probability · Mathematics 2008-04-17 Matteo Ortisi

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…

Statistical Mechanics · Physics 2009-11-07 M. Marsili , D. Challet

The Minority Game is a simple yet highly non-trivial agent-based model for a complex adaptive system. Despite its importance, a quantitative explanation of the game's fluctuations which applies over the entire parameter range of interest…

Condensed Matter · Physics 2009-10-31 M. Hart , P. Jefferies , N. F. Johnson , P. M. Hui

This paper gives a critical account of the minority game literature. The minority game is a simple congestion game: players need to choose between two options, and those who have selected the option chosen by the minority win. The learning…

General Finance · Quantitative Finance 2008-12-02 Willemien Kets

We discuss a modification of the Evolutionary Minority Game (EMG) in which agents are placed in the nodes of a regular or a random graph. A neighborhood for each agent can thus be defined and a modification of the usual relaxation dynamics…

Condensed Matter · Physics 2007-05-23 E. Burgos , Horacio Ceva , R. P. J. Perazzo

In evolutionary games the fitness of individuals is not constant but depends on the relative abundance of the various strategies in the population. Here we study general games among n strategies in populations of large but finite size. We…

Populations and Evolution · Quantitative Biology 2009-05-16 Tibor Antal , Arne Traulsen , Hisashi Ohtsuki , Corina E. Tarnita , Martin A. Nowak

Strategies aimed at reducing the negative effects of long-term uncertainty and risk are common in biology, game theory, and finance, even if they entail a cost in terms of mean benefit. Here, we focus on the single mutant's invasion of a…

Populations and Evolution · Quantitative Biology 2024-09-25 Rubén Calvo Ibáñez , Miguel Ángel Muñoz , Tobias Galla

In this paper the extended model of Minority game (MG), incorporating variable number of agents and therefore called Grand Canonical, is used for prediction. We proved that the best MG-based predictor is constituted by a tremendously…

Applications · Statistics 2013-09-16 Karol Wawrzyniak , Wojciech Wiślicki

In the standard minority game, every agent switches to his best strategy in hand at each time step. If only a small number of agents are allowed to switch their strategies at each time step, the population variance of the system plunges.…

Data Analysis, Statistics and Probability · Physics 2007-05-23 C. Liu , S. S. Liaw

In this paper, we introduce a framework to study local interactions due to the presence of herding behavior in a minority game. The idea behind this approach is to consider that some of the agents who play the game believe that some of…

Computational Physics · Physics 2007-05-23 Daniel Oliveira Cajueiro , Reinaldo Soares De Camargo

In this paper, we consider a mobility system of travelers and providers, and propose a "mobility game" to study when a traveler is matched to a provider. Each traveler seeks to travel using the services of only one provider, who manages one…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Ioannis Vasileios Chremos , Andreas Malikopoulos

Efficient allocation is important in nature and human society, where individuals frequently compete for limited resources. The Minority Game (MG) is perhaps the simplest toy model to address this issue. However, most previous solutions…

Physics and Society · Physics 2026-02-04 Guozhong Zheng , Weiran Cai , Guanxiao Qi , Jiqiang Zhang , Li Chen

This paper deals with a standard stochastic game model with a continuum of states under the duel-type setup. It newly proposes a hybrid model of game theory and the fluctuation process, which could be applied for various practical decision…

Optimization and Control · Mathematics 2020-08-10 Song-Kyoo Kim
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