The Effect of Tick Size on Trading Volume Share in Two Competing Stock Markets

The relationship between tick sizes and trading volume shares in competing markets is studied theoretically. By introducing a simple model which is equipped with two markets and non-strategic traders, we analytically calculate the steady states. It is shown that a market with a larger tick size is generally deprived of its share by the competing market. However, if traders' preference for the present market because of its major share is strong enough, the market with a larger tick size has a chance to keep a major share in the steady state. These findings are consistent with the previous results obtained from a more complicated artificial market model and also provide a clear understanding of the basic mechanism of market competition.