Hal really has two phases in the play. Initially, he is child-like. He wants to please his father blindly, without coming up with ideas of his own. In Hal's case though, he has two fatherly influences. King Henry IV and Falstaff each encourage starkly contrasting ideals for Hal to live by. Hal moves to please each ideal set and cannot due to difference between the two sets, which naturally leads to conflict with each father. Initially, I was going to say that Hal works to please his fathers' intentions rather than his own, but I suppose at this point, he is in that child-like state and his intentions are to please his fathers. So, I guess he is trying to work toward his intentions by appeasing his fathers' intentions. The critical thing though is that he doesn't please his fathers by trying to work on two opposite goals at once. So, he changes his approach. Moving past the child phase, Hal realizes that he needs to employ parts of each ideal set and balance one with the other to be successful in life and in pleasing his fathers, which he does successfully. So then, Hal consistently works towards his own intentions. His own intentions just happen to be pleasing others by appeasing their ideals. At first, a => b =/> c. Then, a => d => c. (a being appeasing his fathers ideals, b and d being how he goes about pleasing his fathers, and c being pleasing his fathers, which is his personal intention) In the end, Hal successfully works towards his personal intention. That is unless you look at the situation as Hal initially working towards the ideals and intentions his fathers have imposed upon him in which case he would not be acting on his personal intentions but those of his fathers. Then later, he creates his own ideal set and works towards it, thus acting of his own intentions. Either way though, in the end, he does satisfy his own intentions.
Now, that being said, it requires that Hal does in fact want to be a great leader who balances teaching and learning because if he truly wants to live his life with Falstaff in a tavern, he acts on what is best for society rather than for himself. Though still (I just keep going on and on), what one wants and what one needs are two different things. Meh. Just to clear the score, let's say that his goals to either be a great leader or live with the rifraf are two need-based intentions. Then, to answer the Big Question, it all depends on if Hal truly wishes for the crown or the tavern. While most of the play suggests he wants to be king, the banishment of Falstaff suggests Hal has longing for his former lifestyle and in fact in a soliliquoy (pardon my spelling) he also states that he dislikes his job as king. Perhaps, Hal is truly happy in the tavern. But then, are personal intentions want or need based? Is a person fully aware of their personal intentions? I do not know.
