Resources will always be finite even if they increase over time. Won't A always receive more resources than any one B (if you're looking at them as individual companies)?

No because people allocate resources based on future expectations of success.

Look at Tesla market cap (a measure of resources allocated) vs Toyota and look at how many cars they sell.

Tesla definitely didn’t start out winning, but people saw the potential and started allocating resources away from old car manufacturers.

If this model actually held then no one would have ever bet on them.

Define "resources".

If we want to speak in absolutes, entropy cannot be reduced; we will only capture so much energy over time, and I refer you to http://www.thelastquestion.net/

If we get a little zen and allow for the ever-elusive human joy to be the ultimate resource, then I'm not sure we can necessarily say that it's finite. I guess without humans there can be no human joy, but why not machine/post/trans-human joy?

Whoever dies with the most toys wins, right? :)