  We investigate a market with a normal-speed informed trader (IT) who may
employ mixed strategy and multiple anticipatory high-frequency traders (HFTs)
who are under different inventory pressures, in a three-period Kyle's model.
The pure- and mixed-strategy equilibria are considered and the results provide
recommendations for IT's randomization strategy with different numbers of HFTs.
Some surprising results about investors' profits arise: the improvement of
anticipatory traders' speed or a more precise prediction may harm themselves
but help IT.
