Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-24
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures
Scientific paper
10.1016/j.physa.2004.09.010
It has been assumed that arbitrage profits are not possible in efficient markets, because future prices are not predictable. Here we show that predictability alone is not a sufficient measure of market efficiency. We instead propose to measure inefficiencies of markets in terms of the maximal profit an ideal trader can take out from a market. In a stock market model with an evolutionary selection of agents this method reveals that the mean relative amount of realizable profits $P$ is very limited and we find that it decays with rising number of agents in the markets. Our results show that markets may self-organize their collective dynamics such that it becomes very sensitive to profit attacks which demonstrates that a high degree of market efficiency can coexist with predictability.
Pawelzik K.
Rothenstein R.
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