delta neutral portfolio - rebalancing

Hello,

I am confused regarding the methods employed to rebalancing a delta neutral portfolio. For instance, if the price goes up, fewer options need to be shorted as the delta is higher now. How does it work to take back the options you have written previously. Not sure to understand that part…

Thank you

You can’t take back options you’ve previously written per se; you simply buy call options (that likely someone else has written).