The two start bidding. Since Tranio is not really bidding on his own, he can easily raise the other's bid every time until Gremio is forced out of the competition. On the other hand, Gremio controls his own wealth, whereas Tranio, pretending to be Lucentio, has nothing at all unless his father confirms the bid.
Baptista therefore says that Tranio (the supposed Lucentio) can have Bianca if his father will guarantee what Tranio has promised; otherwise Gremio can have her.
This leaves Tranio rather in a fix. Since he's not really Lucentio, he can't really deal with Lucentio's father, Vincentio. Well then, there will have to be still another imposture:
—Act II, scene i, lines 400-1
Indoors, meanwhile, the disguised Lucentio and the disguised Hortensio are both teaching Bianca and actually whispering love messages in competition. It becomes clear that Bianca prefers Lucentio.
Petruchio now puts in his plan to tame Katherina. He is deliberately late for the wedding and when he does come, it is in an impossible costume. He was supposed to have gone to Venice for gorgeous clothing, but he arrives in old, unmatched clothes and riding a horse so old and sick it can barely move.
The gathered wedding guests are horrified. Surely he cannot mean to let Katherina see him so, let alone marry him so. But he says:
—Act III, scene ii, lines 116-17
It is the key to Petruchio's scheme. Katherina must accept him for whatever he is and even for whatever he pretends to be; but she must accept.
He continues his mad behavior at the wedding, which takes place offstage and which Gremio describes for the audience. Petruchio swears his acceptance of Katherina, strikes the priest, throws wine at the sexton, and kisses the bride with a sound like a cannon report.
Once they are back from the church, Petruchio announces he must go away at once, with Katherina. All beg him to stay for the wedding feast. He refuses. Katherina begs. He still refuses.
Whereupon Katherina falls into a fury and orders the wedding feast to proceed. Petruchio agrees, but it must proceed without them. He seizes Katherina and says fiercely to the assembled guests:
—Act III, scene ii, lines 229-33
There is a glancing reference here to the tenth commandment, which begins "Thou shalt not covet" (see Exodus 21:17) and in listing the examples of objects belonging to a neighbor that must not be coveted, ends with "nor his ox, nor his ass, nor anything that is thy neighbour's."
There is a strong temptation for males watching the play to feel pleased with Petruchio at this point, but our better natures must assert themselves. This bald assertion of male superiority that treats women as commodities, as animals
It is quite common to excuse Shakespeare by saying that such male domination was taken for granted in Elizabethan society and that Shakespeare was just echoing his time-but Shakespeare does not take this attitude in any other play. Shakespeare's heroines are, if anything, wiser, more capable, and better than his heroes. We can reasonably assume, then, that Petruchio is doing more than merely express a common attitude toward women-this is all part of his plan and nothing deeper than that.
Petruchio brings Katherina to his country house. He has been in a shrewish rage all the way, according to his servant, Grumio, who arrives there first. When Petruchio comes onstage, he continues to seem mad with passion. Kate can't rest, eat, or sleep for his yelling and discontent with everything.
This, however, merely continues the role he has been playing since the day of his wooing. The servants who know him aren't fooled. One says:
—Act IV, scene i, line 174
And Petruchio himself, in a soliloquy, tells the audience:
—Act IV, scene i, lines 182-83
Of course, Petruchio has the money for which he married Katherina. But he wants, we may suppose, a quiet, loving wife too, and it is for this he plans his course of action.
Meanwhile Lucentio's wooing progresses wonderfully well. In his guise as a schoolmaster teaching Latin, he says:
—Act IV, scene ii, line 8
This is Ovid's book which had been indirectly hinted at by Tranio at the very start of the play. The disguised Lucentio says he not only reads The Art to Love, he practices it, and Bianca demurely says she hopes he's good at it.
Hortensio, in his guise as Litio the music teacher, is outraged at Bianca's open preference for someone who seems a lowborn rascal, and abandons her, saying he will go marry a widow who has long been after him.
But while Bianca is accepting the real Lucentio, Tranio (the false Lucentio) must find a false Vincentio to win over Bianca's father. At last an old Pedant who looks the part comes onstage and Tranio stops him and asks if he is traveling on. The Pedant says:
—Act IV, scene ii, lines 75-76
It is a longish journey he plans. It is 250 miles overland due south from Padua to Rome, and then 600 miles across the sea to Tripoli, which is on the north African coast.
When asked where he is from, he answers:
—Act IV, scene ii, line 77
Mantua is sixty miles west of Padua, so that if he has come to Padua from Mantua on his way to Rome, he has gone at right angles to his proper course. But then, he may not have come directly from Mantua.