Impact of meta-order in the Minority Game

Details Impact of meta-order in the Minority Game Impact of meta-order in the Minority Game

2011-12-16

arxiv.org/abs/1112.3908v1

Economy

Quantitative Finance

Trading and Market Microstructure

17 pages, 4 figures

Scientific paper

We study the market impact of a meta-order in the framework of the Minority Game. This amounts to studying the response of the market when introducing a trader who buys or sells a fixed amount h for a finite time T. This perturbation introduces statistical arbitrages that traders exploit by adapting their trading strategies. The market impact depends on the nature of the stationary state: We find that the permanent impact is zero in the unpredictable (information efficient) phase, while in the predictable phase it is non-zero and grows linearly with the size of the meta-order. This establishes a quantitative link between information efficiency and trading efficiency (i.e. market impact). By using statistical mechanics methods for disordered systems, we are able to fully characterize the response in the predictable phase, to relate execution cost to response functions and obtain exact results for the permanent impact.

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