Tyrion meets with Grand Maester Pycelle over breakfast and asks the maester to send a messenger raven to Dorne.
Bronn updates Tyrion on conditions in the city and his efforts to recruit troops. The city has reached bakers-being-burned-in-their-own-ovens-for-overcharging levels of nasty.
He also lets Tyrion know that a Ser Alliser Throne from the Night's Watch is seeking an audience.
Remembering Thorne's contemptible nature, Tyrion decides to put off that meeting.
He meets with Petyr Baelish in the Tower of the Hand and proposes a deal. Petyr will go to Lysa Arryn with a message: For her fealty and her soldiers, her son, Robert, will marry Princess Myrcella. Petyr will get Harrenhal for his service to the realm.
Next on the meet-and-greet list is Varys. Tyrion tells Varys he plans to persuade Doran Martell to join the Lannisters in the war. He will do this by promising Doran a seat on the small council, his sister's true killers, and Prince Tommen.