Explore the Relationship Between Higgins and Eliza Doolittle in Pygmalion

The two main characters in Pygmalion are Eliza Doolittle and Professor Henry Higgins. The story has many themes, but the subject of the play I am exploring now is the way two unconnected people can change each other.
The question of who triumphs at the end can be answered in many ways. At face value, and probably in his mind, Higgins triumphs – he passes Eliza off as a duchess and wins his bet. He does not realise how sneering and abusive he is of Eliza and therefore for a lot of the play she feels used, abused and objectified.
At the beginning of the play, Henry Higgins is an unlikeable, domineering, selfish person with no consideration or fondness for any fellow human being. He dislikes women and he dislikes the working class, so it is unlikely he would ever form a bond of friendship with Eliza. At the end of the play, he has changed, but not as much as Eliza. He is still snobbish, sexist, arrogant and with no manners, but it can be argued that he has learnt a small lesson and become less prejudiced against women and the working class in becoming friends with Eliza.
But more than that - Higgins is basically bored with his life; he finds practically all his company irritating and has no wife. Transforming Eliza into a duchess is a welcome challenge. Once he is done, and Eliza gains self-respect, he begins to respect her as well, and also to like her; "Five minutes ago you were like a millstone round my neck. Now you're a tower of strength: a consort battleship. You and I and Pickering will be three old bachelors together." We also begin to understand him a little and see why he is the way he is.
When the transformation is complete, he has a friend in Eliza and someone to bring some fun and excitement into his life; "Come back to Wimpole street! It'll be fun!"
When Eliza first goes to Higgins, it is the first sign of her ambition and aspirations to be a better person. She knows she is a common person, in a much lower class than Higgins and Pickering, but she has a lot of pride; "I'm a good girl, I am". She is emotional and subservient. As the play progresses and she takes phonetic lessons from Henry Higgins, many changes take place. At the start of the play, Eliza Doolittle is a common flower girl, but more than that she is a common, working-class emotional person with little control of her feelings. The most recognisable of these is her speech and manners, but more subtle and more important is the way her personality changes. She learns to control her feelings and how to manipulate people, especially Higgins. She goes from being subservient and dependent on him to being strong and independent, capable of making her own decisions.
She has the common sense and wariness of the working class but the manners and grooming of beautiful middle-class lady.
Albeit in a different way, she is just as clever as Higgins. At the end of the play, in Act 4, she is in complete control of the scene when she makes him lose his temper. She knows what she is doing; "[thrilling with hidden joy] I'm glad. I've had a little of my own back, anyhow". She is using Higgins – using him to teach her phonetics and is discarding him by marrying Freddy when she has done with him.
However it is at the end of the play in which she finds her strength. She stands up to Higgins, and the tables turn. She is using him; using him to teach her phonetics and she's discarding him by marrying Freddy once she is done with him. She gains self-respect.
In conclusion, I would say that Eliza triumphs at the end of play. She triumphs over Higgins; she triumphs over herself but most of all she triumphs over the society she lives in by climbing up the class system.
Although it can be argued that Higgins triumphs I do not think he does. There is nothing for him to triumph over except perhaps his