Vincentio is the father of Lucentio and the master of servants Tranio and Biondello. He seems good-natured when Kate and Petruchio play games with his identity in 4.5. He readily approves Lucentio's marriage to Bianca (and the financial arrangements made by Tranio, disguised as Lucentio) after his real son Lucentio asks for his pardon in 5.1. 

Vincentio (on left, played by Max Helpmann) is denied by his son's servant Biondello (played by Keith Dinicol) in the 1981 production of Taming at the Stratford Festival in Ontario. photo copyright 1983 Robert C. Ragsdale