In a market market strategy https://web.stanford.edu/class/msande448/2017/Final/Reports/gr4.pdf, how can we determine the right order size? Assuming I use a market making strategy and on a specific stock at a time t, I place a limit buy order at price p_1 with volume v_1 and limit sell order at price p_2 with volume v_2. In taking into account that v_1 = v_2, how can we determine the right order size?
The author of that paper told me : "That's a question I don't fully address. But the goal is typically to manage inventory, so you will never fall outside +/- x around a neutral position. Therefore if you are long x, then you will typically place an order to sell x and return to a neutral position (sometimes market orders are placed to do this more aggressively). "
I did not fully understand what he meant.
Be aware that I possess the full market depth.