New research paper Abstract:
A trader's execution strategy has a large effect on his profits. 
Identifying an optimal strategy, however, is often frustrated by the 
complexity of market microstructure's. We analyse an order book based 
continuous double auction market under two different models of trader's 
behaviour. In the first case actions only depend on a linear combination of 
the best bid and ask. In the second model traders adopt the Markov perfect 
equilibrium strategies of the trading game. Both models are analytically 
intractable and so optimal strategies are identified by the use of 
numerical techniques. Using the Markov model we show that, beyond the best 
quotes, additional information has little effect on either the behaviour of 
traders or the dynamics of the market. The remarkable similarity of the 
results obtained by the linear model indicates that the optimal strategy 
may be reasonably approximated by a linear function. We conclude that 
whilst the order book market and strategy space of traders are potentially 
very large and complex, optimal strategies may be relatively simple and 
based on a minimal information set.

Download:
http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2411983


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