We model a dynamic financial market where traders submit orders either to a limit order book (LOB) or to a Dark Pool (DP). We show that there is a positive liquidity externality in the DP, that orders migrate from the LOB to the DP, but that overall trading volume increases when a DP is...

We model a public limit order book (PLB) with rational investors choosing to supply or demand liquidity. Following a reduction in the tick size the effects on PLB's market quality depend on the liquidity of the stocks. Spread improves for tick-constrained stocks and deteriorates for...

We show that following a tick size reduction in a decimal public limit order book (PLB) market quality and welfare fall for illiquid but increase for liquid stocks. If a Sub-Penny Venue (SPV) starts competing with a penny-quoting PLB, market quality deteriorates for illiquid, low priced stocks,...

Recent evidence on electronic limit order markets shows a growing use of undisclosed orders. This paper offers a theory for the optimal submission strategy in a limit order book where traders simultaneously select price, quantity and exposure, and choose among limit, market, reserve (partially...

This paper examines unique data on dark pool activity for a large cross-section of US stocks in 2009. Dark pool activity is concentrated in liquid stocks. Nasdaq (AMEX) stocks have significantly higher (lower) dark pool activity than NYSE stocks controlling for liquidity. For a given stock, dark...

We show that when a continuous dark pool is added to a limit order book that opens illiquid, book and consolidated fill rates and volume increase, but spread widens, depth declines and welfare deteriorates. The adverse effects on market quality and welfare are mitigated when book-liquidity...