Yes, you can bribe the mayor in Fallout 4.
During the "Getting a Clue" quest in the main storyline, you will encounter Mayor McDonough in Diamond City. He will initially refuse to assist you with information regarding Kellogg. To progress, you have a few options to make him cooperate:
Options to Gain Mayor McDonough's Cooperation
- Bribe: You can offer to bribe Mayor McDonough with 250 caps. This is a straightforward method to get the information you need.
- Persuasion: Alternatively, you can attempt to persuade him through dialogue. This option often leads to revealing Kellogg's credentials as a kidnapper, providing additional narrative detail and context to the quest.
Both the bribe and the persuasion options are effective ways to advance the "Getting a Clue" quest and continue your investigation into Kellogg's whereabouts.