The effect of tick size on trading volume share in three competing stock markets

Abstract

The relationship between tick sizes and trading volume share in two and three competing markets is studied theoretically. By introducing a simple model which is equipped with multiple markets and non-strategic traders, we analytically calculate the share. It is shown that share is shifted from a market with a larger tick size to a market with a smaller tick size, and the size of share-shift is determined by difference between tick sizes not by ratio between tick sizes in both cases of two markets and three markets.