Could you help me understand myself?

Well, procrastination is common among many people. It is not common in successful people - they find a way to assess the priorities of the myriad tasks that life/startups present them with and perform them is the optimal order = they get on with things. Any IPO needs a founder and later a team that deals with this or = roadkill. If you have this aspect, from your genes or your own inadequacies, it must be rigorously culled. A lot of people make to do lists to give them a hierarchy of tasks that are in a priority basis, so if one task hits some glitch in performance of that task -that glitched thread task is dropped and another picked up so the overall goal draws nearer. This means you must not let these dropped tasks rest undone - that is part of what teamwork is all about - you ID these glitches and address them. Some glitched tasks are hard tasks that must be done at all costs for the goal to be reached - the IPO team must deal with them, just as you must deal with - say the hated scraping of the dishes before the food dries into a varnish or becomes an evolutionary path for various life forms! A team of two is a lean startup team - as it starts, it will grow as needed - who guides this? The founder alone or both of you? You are either a co-founder or you are not. Are you paid in $$ or paid in equity - that is a task that is prey to procrastination by design. After the $10 billion IPO you will be thanked profusely - unless the deal is nailed down in that COO, be content with that unless you stop this pernicious procrastination that plagues you. Your mother says you got it from your father - leave it with him, how did it ever help him? Not being an analyst, I can not say how you can deal with this and you obviously can not. In summation, list tasks in priority, do them in priority but multi-process tasks so stuff you do not like doing is not pushed down the list until you have a list of things you hate to do - all of which are neccessary = crash/burn. It is possible founder sees this aspect of you and does not want to get that COO done - he procrastinates on this task - does he see placing you on the COO as hateful or as a wise way to shed someone who does not get stuff done, but he also likes = conflicted? In any event this needs to be solved, you on the COO or you = exit. Sorry if I sound a little brutal here, but it can be a painful process to deal with this. I expect there are procrastination therapy groups out there - find one for founding groups/founders etc.. Nope, not tomorrow = today!!

At it's core, we are talking about a business.

You're not "getting paid" in terms of ownership/title/etc.

Quit and move on.

Try to work with people you trust.

Good luck.