Study of the Wealth Inequality in the Minority Game

To demonstrate the usefulness of physical approaches for the study of realistic economic systems, we investigate the inequality of players' wealth in one of the most extensively studied econophysical models, namely, the minority game (MG). We gauge the wealth inequality of players in the MG by a well-known measure in economics known as the modified Gini index. From our numerical results, we conclude that the wealth inequality in the MG is very severe near the point of maximum cooperation among players, where the diversity of the strategy space is approximately equal to the number of strategies at play. In other words, the optimal cooperation between players comes hand in hand with severe wealth inequality. We also show that our numerical results in the asymmetric phase of the MG can be reproduced semi-analytically using a replica method.Comment: 9 pages in revtex 4 style with 3 figures; minor revision with a change of title; to appear in PR

AC Breakdown Characteristics of LDPE in the Presence of Crosslinking By-products.

LDPE films of 50?m thick were soaked into crosslinking byproducts which are acetophenone, ?-methylstyrene and cumyl alcohol. The samples were used to perform the breakdown strength (Eb) of the LDPE with the byproducts chemical reside in the sample. The AC breakdown measurements were conducted at a ramp rate of 50V/s at room temperature. Weibull plot is used to analyse the ac breakdown result. Comparing the soaked and un-soaked (fresh LDPE) samples, it does show a small reduction of the eta values as the LDPE films were soaked into the sample. It suggests that the breakdown strength is reduced by adding the byproducts in the LDPE film. However, as the range of breakdown strength of all samples are to be compared, these values fall in the same region which indicate no significant difference can be seen in all samples