There are a lot of explanations of consequentialism and utilitarianism out there, but not a lot of persuasive essays trying to convert people. I would like to fill that gap with a pro-consequentialist FAQ. The target audience is people who are intelligent but may not have a strong philosophy background or have thought about this matter too much before (ie it's not intended to solve every single problem or be up to the usual standards of discussion on LW).
I have a draft up at http://www.raikoth.net/consequentialism.html (yes, I have since realized the background is horrible, and changing it is on my list of things to do). Feedback would be appreciated, especially from non-consequentialists and non-philosophers since they're the target audience.
If you define "utility function" as "what agents maximize" then your above statement is true but tautological. If you define "utility function" as "an agent's relation between states of the world and that agent's hedons" then it's not true that you can only maximize your utility function.
I certainly do not define it the second way. Most people care about something other than their own happiness, and some people may care about their own happiness very little, not at all, or negatively, I really don't see why a 'happiness function' would be even slightly interesting to decision theorists.
I think I'd want to define a utility function as "what an agent wants to maximise" but I'm not entirely clear how to unpack the word 'want' in that sentence, I will admit I'm somewhat confused.
However, I'm not particularly concerned about my statements being tautological, they were meant to be, since they are arguing against statements that are tautologically false.