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We explore various extensions of Challet and Zhang’s Minority Game in an
attempt to gain insight into the dynamics underlying financial markets. First
we consider a heterogeneous population where individual traders employ
differing time horizons' when making predictions based on historical data. The resulting average winnings per trader is a highly non-linear function of the population's composition. Second, we introduce a threshold confidence level among traders below which they will not trade. This can give rise to large fluctuations in the volume’ of market participants and the resulting market
`price’.

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