The U.S. equity markets recently increased the tick size from one to five cents for smaller capitalization stocks. We show that the larger tick size raised the cost for retail-sized liquidity demanding orders by almost fifty percent, and raised profits to liquidity providers by forty percent....

This paper describes price discovery and liquidity provision in a dynamic limit order market with asymmetric information and non-Markovian learning. Investors condition on information in both the current limit order book and also, unlike in previous re-search, on the prior order history when...