On the Minority Game : Analytical and Numerical Studies

We investigate further several properties of the minority game we have recently introduced. We explain the origin of the phase transition and give an analytical expression of $\sigma^2/N$ in the $N\ll2^M$ region. The ability of the players to learn a given payoff is also analyzed, and we show that the Darwinian evolution process tends to a self-organized state, in particular, the life-time distribution is a power-law with exponent -2. Furthermore, we study the influence of identical players on their gain and on the system's performance. Finally, we show that large brains always take advantage of small brains.Comment: 9 pages, 19 figures, accepted for publication in Physica A. Latex compilation on VMS systems should now wor

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Agribusiness,

AGRICULTURAL PROSPECTS IN CENTRALLY PLANNED ECONOMIES

International Development,

STRUCTURAL CHANGE IN AGRICULTURE IN THE UNITED STATES

Industrial Organization,

THE HISTORICAL RATIONALE FOR THE PROPERTY TAX

Public Economics,

LAND TENURE: SHAKEOUT AFTER THE FALL OF COMMUNISM

Land Economics/Use,

POLICIES TOWARD CORPORATIONS IN FARMING

Agribusiness,

EVOLUTIONARY TRENDS IN LAND USE CONTROL IN THE UNITED STATES

Land Economics/Use,

THE CHOICE OF CRITERIA TO GUIDE LAND USE

Land Economics/Use,

STRUCTURAL CONTRASTS AND CONVERGENCE IN SOCIALIST AND CAPITALIST AGRICULTURE

Political Economy,