N.H. Rev. Stat. Ann. § 231:163

Any such licensee or any person whose rights or interests are affected by any such license may petition the selectmen for changes in the terms thereof; and after notice to the parties and hearing, the selectmen may make such alterations therein as the public good requires. The selectmen, after notice to any such licensee and hearing, may from time to time revoke or change the terms and conditions of any such license, whenever the public good requires.