Three phases of the minority game

Liaw, Sy-Sang; Hung, Chia-Hsiang; Liu, Ching

doi:10.1016/j.physa.2006.06.022

Cited by 9 publications

(10 citation statements)

References 17 publications

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“…In this paper, we show that the calculations given in [17] can be highly simplified and easily applied to other variants of the M G, as the above-mentioned M G rand and M G per . By taking advantage of its inherent symmetries, we analytically solve the F SM G. In particular, we show the role of the number of states in odd occurrences in the calculation of the variable z arriving to similar conclusions as that given in [18] by means of a different approach. What is more, our calculations also apply to certain kinds of initial biased scores if the bias is introduced at the agents' level, i.e.…”

Section: Introductionsupporting

confidence: 53%

The Full Strategy Minority Game

Acosta

Caridi

Guala

et al. 2012

Physica A: Statistical Mechanics and its Applications

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The Full Strategy Minority Game (FSMG) is an instance of the Minority Game (MG) which includes a single copy of every potential agent. In this work, we explicitly solve the FSMG thanks to certain symmetries of this game. Furthermore, by considering the MG as a statistical sample of the FSMG, we compute approximated values of the key variable {\sigma}2/N in the symmetric phase for different versions of the MG. As another application we prove that our results can be easily modified in order to handle certain kind of initial biased strategies scores, in particular when the bias is introduced at the agents' level. We also show that the FSMG verifies a strict period two dynamics (i.e., period two dynamics satisfied with probability 1) giving, to the best of our knowledge, the first example of an instance of the MG for which this feature can be analytically proved. Thanks to this property, it is possible to compute in a simple way the probability that a general instance of the MG breaks the period two dynamics for the first time in a given simulation.Comment: To appear in Physica

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Section: Introductionsupporting

confidence: 53%

The Full Strategy Minority Game

Acosta

Caridi

Guala

et al. 2012

Physica A: Statistical Mechanics and its Applications

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“…Consequently, the global average gain increases as time goes on (see the curve indicated by conservative in Figure 2). As we have pointed out in our previous work [9], the crucial factor in reducing population variance is to decrease the number of agents who switch strategies at the same time. The simplest way to accomplish this is to allow only a certain number of agents to switch strategies at a given time [9].…”

mentioning

confidence: 88%

“…As we have pointed out in our previous work [9], the crucial factor in reducing population variance is to decrease the number of agents who switch strategies at the same time. The simplest way to accomplish this is to allow only a certain number of agents to switch strategies at a given time [9]. In a real system, such as the stock market, such a limitation measure would be totally unacceptable to agents.…”

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confidence: 88%

Maximise Global Gain in the Minority Game

Liaw

2009

Research Letters in Physics

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“…3. Fluctuation is studied by considering different values of the control param- (Liaw et al, 2007). By using respectively 2 ( Fig.…”

Section: Dsmg Behaviormentioning

confidence: 99%

“…z 1). In (Liaw et al, 2007) it is argued that the high fluctuation of standard MG in the low-z region is due to the fact that too many players switch simultaneously. Therefore, a winning prediction (minority) turns into a losing one (majority).…”

Section: Dsmg Behaviormentioning

confidence: 99%

Dynamic Sociality Minority Game

Cicirelli¹,

Furfaro²,

Nigro³

et al. 2011

ECMS 2011 Proceedings Edited By: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho

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The minority game (MG) is a simple yet effective binarydecision model which is well suited to study the collective emerging behaviour in a population of agents with bounded and inductive rationality when they have to compete, through adaptation, for scarce resources. The original formulation of the MG was inspired by the W.B. Arthur's El Farol Bar problem in which a fixed number of people have to independently decide each week whether to go to a bar having a limited capacity. A decision is only affected by information on the number of visitors who attended the bar in the past weeks. In its basic version, the MG does not contemplate communication among players and it supposes that information about the past game outcomes is publicly available. This paper proposes the Dynamic Sociality Minority Game (DSMG), an original variant of the classic MG where (i) information about the outcome of the previously played game step is assumed to be known only by the agents that really attended the bar the previous week and (ii) a dynamically established acquaintance relationship is introduced to propagate such information among non attendant players. Particular game settings are identified which make DSMG able to exhibits a better coordination level among players with respect to standard MG. Behavioral properties of the DSMG are thoroughly analyzed through an agent-based simulation of a simple road-traffic model.

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Three phases of the minority game

Cited by 9 publications

References 17 publications

The Full Strategy Minority Game

The Full Strategy Minority Game

Maximise Global Gain in the Minority Game

Dynamic Sociality Minority Game

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