The 37-year-old is wanted in connection with an assault in Royston on April 20.
It is reported that a woman was assaulted, suffering injuries to her head, arm and thigh.
The property was also damaged extensively.
Police want to hear from anyone who has seen or spoken to Dobson recently, or knows where he may be staying.
He has links to Barnsley, Castleford and Wakefield.
If you have any information about where he might be, please call 101, quoting incident number 655 of April 20.